Quantum Models of Cognition and Decision


Quantum Models of Cognition and Decision

Much of our understanding of human thinking is based on probabilistic models. This innovative book by Jerome R. Busemeyer and Peter D. Bruza argues that, actually, the underlying mathematical structures from quantum theory provide a much better account of human thinking than traditional models. They introduce the foundations for modelling probabilistic-dynamic systems using two aspects of quantum theory. The first, 'contextuality', is a way to understand interference effects found with inferences and decisions under conditions of uncertainty. The second, 'quantum entanglement', allows cognitive phenomena to be modeled in non-reductionist ways. Employing these principles drawn from quantum theory allows us to view human cognition and decision in a totally new light. Introducing the basic principles in an easy-to-follow way, this book does not assume a physics background or a quantum brain and comes complete with a tutorial and fully worked-out applications in important areas of cognition and decision.


 Reviews:

"This is the first book putting forward the main scientific results of an intriguing and promising new research domain called 'quantum cognition.' In this emergent field, the mathematical structure of quantum theory is employed to model essential aspects of human cognition impossible to be modeled properly within classical approaches. The authors are both engaged intensively in quantum cognition and wrote a high-quality and well-understandable treatise showing how this new approach carries the potential of a real breakthrough, with deep implications for how cognition will be looked upon in the decades to come. The approach may also signify a thorough new opening to the old problem of artificial intelligence and the structuring of semantics."
--Diederik Aerts, Center Leo Apostel for Interdisciplinary Studies, Brussels Free University


"This book is about why and how formal structures of quantum theory are essential for psychology - a breakthrough resolving long-standing problems and suggesting novel routes for future research, convincingly presented by two main experts in the field."
--Harald Atmanspacher, Department of Theory and Data Analysis, Institut fuer Grenzgebiete der Psychologie und Psychohygiene e.V.


"Mathematical models of cognition so often seem like mere formal exercises. Quantum theory is a rare exception. Without sacrificing formal rigor, it captures deep insights about the workings of the mind with elegant simplicity. This book promises to revolutionize the way we think about thinking."
--Steven Sloman, Cognitive, Linguistic, and Psychological Sciences, Brown University


"...The title grabs the reader’s attention.... The presentation is clear and self-contained, requiring no prior knowledge of quantum mechanics on the part of the reader. Every serious researcher in cognitive science needs to engage with this volume."
--Dr. H. Van Dyke Parunak, Computing Reviews


"The book is intended for anyone who is interested in this topic, and does not presume any preliminary knowledge. It includes a detailed introduction to the corresponding quantum physics, along with a detailed description of the corresponding psychological experiments.... It is very thought-provoking, a must-read for anyone interested in understanding human behavior and human judgments..."
--V. Ya. Kreinovich, Mathematical Reviews


AccardiL., KhrennikovA. Y., & OhyaM. (2009). Quantum Markov model for data from Shafir–Tversky experiments in cognitive psychology. Open Systems and Information Dynamics, 16(4), 371–385.
AertsD. & AertsS. (1994). Applications of quantum statistics in psychological studies of decision processes. Foundations of Science, 1, 85–97.
AertsD. & CzachorM. (2004). Quantum aspects of semantic analysis and symbolic artificial intelligence. Journal of Physics A–Mathematical and General, 37, L123–L132 (http://uk.arxiv.org/abs/quant-ph/0309022).
AertsD. & GaboraL. (2005). A theory of concepts and their combinations II: A Hilbert space representation. Kybernetes, 34, 192–221.
AertsD. & SozzoS. (2011). Quantum structure in cognition: why and how concepts are entangled (arXiv:1104.1322v1).
AertsD. (2009). Quantum structure in cognition. Journal of Mathematical Psychology, 53(5), 314–348.
AertsD., AertsS., BroeckaertJ., & GaboraL. (2000). The violation of Bell inequalities in the macroworld. Foundations of Physics, 30, 1378–1414.
AertsD., BroekaertJ., & GaboraL. (2005). A case for applying an abstracted quantum formalism to cognition. In Mind in Interaction, ed. M.Bickhard & R.Campbell. Amsterdam: John Benjamins.
AertsD., BroekaertJ., & GaboraL. (2011). A case for applying an abstracted quantum formalism to cognition. New Ideas in Psychology, 29, 136–146.
AharonovY., DavidovichL., & ZaguryN. (1993). Quantum random walks. Physical Review A, 48, 1687–1690.
AhnW. Y., KrawitzA., KimW., BusemeyerJ. R., & BrownJ. W. (2011). A model-based FMRI analysis with hierarchical Bayesian parameter estimation. Journal of Neuroscience, Psychology, and Economics, 4(2), 95–110.
AllaisM. (1953). Le comportement de l'homme rationnel devant le risque: critique des postulats et axiomes de l'école américaine. Econometrica, 21, 503–546.
AndersonJ. R. (1993). Rules of the Mind. Erlbaum.
AnscombeF. J. & AumannR. J. (1963). A definition of subjective probability. Annals of Mathematical Statistics, 34, 199–205.
AshbyF. G. & TownsendJ. T. (1986). Varieties of perceptual independence. Psychological Review, 93, 154–179.
AspectA. (1999). Bell's inequality test: more ideal than ever. Nature, 398, 189–190.
AtkinsonR. C. & ShiffrinR. M. (1968). Human memory: a proposed system and its control processes. In The Psychology of Learning and Motivation, ed. K. W.Spence & J. T.Spense. New York: Academic Press, pp. 89–195.
AtmanspacherH. & FilkT. (2010). A proposed test of temporal nonlocality in bistable perception. Journal of Mathematical Psychology, 54, 314–321.
AtmanspacherH. (2011). Quantum approaches to consciousness. In Stanford Encyclopedia of Philosophy, ed. E. N.Zalta.
AtmanspacherH., & RomerH., & WalachH. (2002). Weak quantum theory: complementarity and entanglement in physics and beyond. Foundations of Physics, 32, 379–406.
AtmanspacherH., FilkT., & RomerH. (2004). Quantum zero features of bistable perception. Biological Cybernetics, 90, 33–40.
BaaquieB. E. (2004). Quantum Finance: Path Integrals and Hamiltonians for Options and Interest Rates. Cambridge University Press.
BaddeleyA. D. (1992). Working memory. Science, 255, 556–559.
BarkanR. & BusemeyerJ. R. (1999). Changing plans: dynamic inconsistency and the effect of experience on the reference point. Psychological Bulletin and Review, 10, 353–359.
BarkanR. & BusemeyerJ. R. (2003). Modeling dynamic inconsistency with a changing reference point. Journal of Behavioral Decision Making, 16, 235–255.
BatchelderW. H. & ReifferD. M. (1999). Theoretical and empirical review of multinomial process tree modeling. Psychonomic Bulletin and Review, 6, 57–86.
BeckF. & EcclesJ. (1992). Quantum apsects of brain activity and the role of consciousness. Proceedings of the National Academy of Sciences of the USA, 89, 11357–11361.
BeheraL., KarI., & ElitzurA. C. (2005). Recurrent quantum neural network model to describe eye tracking of moving target. Foundations of Physics Letters, 18(4), 357–370.
BellJ. (1987). Bertlmann's socks and the nature of reality. In Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press.
BeltramettiE. G. & CassinelliG. (1981). The Logic of Quantum Mechanics. Encyclopedia of Mathematics and its Applications, volume 15. Addison-Wesley.
BhattacharyaR. N. & WaymireE. C. (1990). Stochastic Processes with Applications. Wiley.
BirnbaumM. (2008). New paradoxes of risky decision making. Psychological Review, 115, 463–501.
BlasoneM., JizbaP., & VitielloG. (2011). Quantum Field Theory and its Macroscopic Manifestations. London: Imperial College Press.
BlutnerR. & HochnadelE. (2010). Two cubits for C.G. Jung's theory of personality. Cognitive Systems Research, 11(3), 243–259.
BlutnerR. (2009). Concepts and bounded rationality: an application of Niestegge's approach to conditional quantum probabilities. In Foundations of Probability and Physics No. 5 – AIP Conference Proceedings, vol. 1101, ed. L.Acardi, A. Y.Khrennikov, C. A.Fuchs, G.Jaeger, J.-A.Larsson, & S.Stenholm. American Institute of Physics, pp. 302–310.
BohrN. (1958). Atomic Physics and Human Knowledge. New York: Wiley.
BordleyR. & KadaneJ. B. (1999). Experiment-dependent priors in psychology. Theory and Decision, 47(3), 213–227.
BordleyR. F. (1998). Quantum mechanical and human violations of compound probability principles: toward a generalized Heisenberg uncertainty principle. Operations Research, 46, 923–926.
BrainerdC. J. & ReynaV. F. (2008). Episodic over-distribution: a signature effect of familiarity without recognition. Journal of Memory and Language, 58, 765–786.
BrainerdC. J., ReynaV. F., & MojardinA. H. (1999). Conjoint recognition. Psychological Review, 106(1), 160–179.
BruzaJ. R., BusemeyerP., & GaboraL. (2009a). Introduction to the special issue on quantum cognition. Journal of Mathematical Psychology, 53(5), 303–305.
BruzaP. & ColeR. J. (2005). Quantum logic of semantic space: an exploratory investigation of context effects in practical reasoning. In We Will Show Them: Essays in Honour of Dov Gabbay, ed. S.Artemov, H.Barringer, A. S.d'Avila, L. C.Lamb, & J.Woods, College Publications, pp. 339–361.
BruzaP. & De VineL. (2010). Semantic oscillations: encoding context and structure in complex valued holographic vectors. In Quantum Informatics for Cognitive, Social, and Semantic Processes (QI 2010), ed. P.Bruza, W.Lawless, C.von Rijsbergen, D.Sofge, & D.Widdows. AAAI Press.
BruzaP. D., KittoK., NelsonD., & McEvoyC. (2009d). Extracting spooky-activation-at-a-distance from considerations of entanglement. In Proceedings of the Third Quantum Interaction Symposium, vol. 5494. Springer, pp. 71–83.
BruzaP., IqbalA., & KittoK. (2010). The role of non-factorizability in determining “pseudo-classical” non-separability. In Quantum Informatics for Cognitive, Social, and Semantic Processes (QI 2010), ed. P.Bruza, W.Lawless, C.van Rijsbergen, D.Sofge, & D.Widdows. AAAI Press.
BruzaP., KittoK., NelsonD., & McEvoyC. (2009c). Is there something quantum-like in the human mental lexicon? Journal of Mathematical Psychology, 53(5), 362–377.
BruzaP., KittoK., RammB., & SitbonL. (2012). The non-compositionality of concept combinations. Cognitive Science, Under review.
BruzaP., LawlessW., van RijsbergenC. J., & SofgeD. (2007). Proceedings of the AAAI Spring Symposium on Quantum Interaction. AAAI Press.
BruzaP., LawlessW., van RijsbergenC. J., & SofgeD. (2008). Quantum Interaction: Proceedings of the Second Quantum Interaction Symposium. London: College Publications.
BruzaP., SofgeD., LawlessW., van RijsbergenC. J., & KluschM. (2009b). Proceedings of the Third Quantum Interaction Symposium. Springer.
BullinariaJ. A. & LevyJ. P. (2007). Extracting semantic representations from word co-occurrence statistics: a computational study. Behavior Research Methods, 39(3), 510–526.
BurgessC., LivesayK., & LundK. (1998). Explorations in context space: words, sentences, discourse. Discourse Processes, 25(2–3), 211–257.
BusemeyerJ. & TownsendJ. (1993). Decision field theory: a dynamic-cognitive approach to decision making in an uncertain environment. Psychological Review, 100, 432–459.
BusemeyerJ. & WangZ. (2010). Quantum probability applied to the social and behavioral sciences. In Proceedings of the First Interdisciplinary Chess Interactions Conference, ed. C.Rangacharyulu & E.Haven World Scientific Publishing Company, pp. 115–125.
BusemeyerJ. R. & DiederichA. (2009). Cognitive Modeling. Sage.
BusemeyerJ. R., MatthewsM., & WangZ. (2006b). A quantum information processing explanation of disjunction effects. In Proceedings of the 29th Annual Conference of the Cognitive Science Society and the 5th International Conference of Cognitive Science, ed. R.Sun & N.Myake. Erlbaum, pp. 131–135.
BusemeyerJ. R., PothosE. M., FrancoR., & TruebloodJ. S. (2011). A quantum theoretical explanation for probability judgment errors. Psychological Review, 118(2), 193–218.
BusemeyerJ. R., WangZ., & Lambert-MogilianskyA. (2009). Comparison of Markov and quantum models of decision making. Journal of Mathematical Psychology, 53(5), 423–433.
BusemeyerJ. R., WangZ., & TownsendJ. T. (2006a). Quantum dynamics of human decision making. Journal of Mathematical Psychology, 50, 220–241.
BusemeyerJ. R., WegE., BarkanR., LiX., & MaZ. (2000). Dynamic and consequential consistency of choices between paths of decision trees. Journal of Experimental Psychology: General, 129, 530–545.
CamererC. F. & WeberM. (1992). Recent developments in modeling preferences: uncertainty and ambiguity. Journal of Risk and Uncertainty, 5, 325–370.
CamererC. F. (1989). An experimental test of several generalized utility theories. Journal of Risk and Uncertainty, 2, 61–104.
CarlsonB. W. & YatesJ. F. (1989). Disjunction errors in qualitative likelihood judgment. Organizational Behavior and Human Decision Processes, 44, 368–379.
CavesC. M., FuchsC. A., & SchakR. (2002). Quantum probabilties as Bayesian probabilities. Physical Review A, 65(2), 1–6.
CerecedaJ. (2000). Quantum mechanical probabilities and general probabilistic constraints for Einstein–Podolsky–Rosen–Bohm experiments. Foundations of Physics Letters, 13(5), 427–442.
ChalmersD. (1996). The Conscious Mind. Oxford University Press.
CheonT. & TakahashiT. (2010). Interference and inequality in quantum decision theory. Physics Letters A, 375, 100–104.
ClauserJ. & HorneM. (1974). Experimental consequences of objective local theories. Physical Review D, 10(2), 526–535.
CoeckeB., SadrzadehM., & ClarkS. (2010). Mathematical foundations for a compositional distributional model of meaning. Linguistic Analysis, 36(1–4), 345–384.
CollinsA. & LoftusE. (1975). A spreading-activation theory of semantic processing. Psychological Review, 82(6), 407–428.
ConteE. (1983). Exploration of biological function by quantum mechanics. In Proceedings 10th International Congress on Cybernetics. Namur-Belgique, pp. 16–23.
ConteE., KhrennikovA. Y., TodarelloO., FedericiA., MendolicchioL., & ZbilutJ. P. (2009). Mental states follow quantum mechanics during perception and cognition of ambiguous figures. Open Systems and Information Dynamics, 16, 1–17.
ConteE., TodarelloO., FedericiA., VitielloF., LopaneM., & KhrennikovA. (2007). Some remarks on an experiment suggesting quantum-like behavior of cognitive entities and formulation of an abstract quantum mechanical formalism to describe cognitive entity and its dynamics. Chaos, Solitons, and Fractals, 31, 1076–1088.
CostelloF. & KeaneM. (2000). Effcient creativity: constraint-guided conceptual combination. Cognitive Science, 24(2), 299–349.
CrosonR. (1999). The disjunction effect and reason-based choice in games. Organizational Behavior and Human Decision Processes, 80(2), 118–133.
CubittR. P., StarmerC., & SugdenR. (1998). Dynamic choice and the common ratio effect: an experimental invesigation. Economic Journal, 108, 1362–1380.
DeBarrosJ. A. & SuppesP. (2009). Quantum mechanics, interference, and the brain. Journal of Mathematical Psychology, 53, 306–313.
DeGrootM. H. (2004). Optimal Statistical Decisons. Wiley–IEEE.
DicksonW. (1998). Quantum Chance and Non-Locality. Cambridge University Press.
DiracP. A. M. (1958). The Principles of Quantum Mechanics. Oxford University Press.
DongD., ChenC., ChuJ., & TarnT. J. (2010). Robust quantum-inspired reinforcement learning for robot navigation. IEEE/ASME Transactions on Mechatronics, 17(1), 1–12.
DongD., ChenC., LiH., & TarnT. J. (2008). Quantum reinforcement learning. IEEE Transactions on Systems, Man, and Cybernetics, B: Cybernetics, 38(5), 1207–1220.
DoughertyM. R. P., GettysC. F., & OdgenE. E. (1999). Minverva-dm: a memory processes model for judgments of likelihood. Psychological Review, 106(1), 180–209.
DulanyD. E., CarlsonR. A., & DeweyG. I. (1984). A case of syntactical learning and judgment: how conscious and how abstract? Journal of Experimental Psychology: General, 113(4), 541–555.
EisertM., WilkensJ., & LewensteinM. (1999). Quantum games and quantum strategies. Physical Review Letters, 83, 3077–3080.
EllsbergD. (1961). Risk, ambiguity, and the savage axioms. Quarterly Journal of Economics, 75, 643–669.
EngesserK., GabbayD. M., & LehmannD. (2009). Handbook of Quantum Logic and Quantum Structures. Elsevier.
EpsteinS., LipsonA., HolsteinC., & HuhE. (1992). Irrational reactions to negative outcomes: evidence for two conceptual systems. Journal of Personality and Social Psychology, 62, 328–339.
FeldmanJ. M. & LynchJ. G. (1988). Self-generated validity and other effects of measurement on belief, attitude, intention, and behavior. Journal of Applied Psychology, 73(3), 421–435.
FestingerL. (1957). A Theory of Cognitive Dissonance. Stanford University Press.
FeynmanR. P. (1982). Simulating physics with computers. International Journal of Theoretical Physics, 21, 467–488.
FeynmanR. P., LeightonR. B., & SandsM. (1965). Lectures on Physics: Quantum Mechanics, volume III. Addison-Wesley.
FineA. (1982a). Hidden variables, joint probability and the Bell inequalities. Physics Review Letters, 48(5), 291–295.
FineA. (1982b). Joint distributions, quantum correlations and commuting observables. Journal of Mathematical Physics, 23(7), 1306–1310.
FiskJ. E. (2002). Judgments under uncertainty: representativeness or potential surprise? British Journal of Psychology, 93, 431–449.
FodorG. (1994). Concepts: a potboiler. Cognition, 50, 95–113.
FrancoR. (2009a). The conjunctive fallacy and interference effects. Journal of Mathematical Psychology, 53(5), 415–422.
FrancoR. (2009b). Quantum amplitude amplification algorithm: an explanation of availability bias. In Quantum Interaction, Lecture Notes in Computer Science, vol. 5494, ed. P.Bruza, D.Sofge, W.Lawless, K.van Rijsbergen, & M.Klusch. Springer, pp. 84–96.
FreemanW. J. & VitielloG. (2006). Nonlinear brain dynamics as macroscopic manifestation of underlying many-body dynamics. Physics of Life Reviews, 3, 93–118.
FreemanW. J. (1979). Nonlinear dynamics of paleocortex manifested in the olfactory EEG. Biological Cybernetics, 35, 21–37.
FriesP. (2009). Neural gamma-band synchronization as a fundamental process in cortical computation. Annual Reviews of Neuroscience, 32, 209–224.
FriesP., NikoliD., & SingerW. (2007). The gamma cycle. Trends in Neuroscience, 50(7), 309–316.
FussI. G. & NavarroD. J. (2008). Partially coherent quantum models for human two-choice decisions. In Proceedings of the Second Quantum Interaction Symposium, ed. P. D.Bruza, W.Lawless, K.van Rijsbergen, D. A.Sofge, B.Coecke, & S.Clark. College Publications, pp. 75–82.
GärdenforsP. (2000). Conceptual Spaces: The Geometry of Thought. MIT Press.
GabbayD. & WoodsJ. (2005). The Reach of Abduction: Insight and Trial, vol. 2. Elsevier.
GaboraL. & AertsD. (2002). Contextualizing concepts using a mathematical generalization of the quantum formalism. Journal of Experimental Theoretical Artificial Intelligence, 14, 327–358.
GaboraL., RoschE., & AertsD. (2008). Toward an ecological theory of concepts. Ecological Psychology, 20, 84–116.
GaleaD., BruzaP., KittoK., NelsonD., & McEvoyC. (2011). Modelling the activation of words in human memory: the spreading activation, spooky-activation-at-a-distance and the entanglement models compared. In Proceedings of the Fifth Quantum Interaction Symposium (QI-2011). Springer.
GardinerC. W. (1991). Quantum Noise. Springer.
GavanskiI. & Roskos-EwoldsenD. R. (1991). Representativeness and conjoint probability. Journal of Personality and Social Psychology, 61, 181–194.
GeeN., NelsonD., & KrawczykD. (1999). Is the connectedness effect a result of underlying network interconnectivity? Journal of Memory and Language, 40(4), 479–497.
GigerenzerG. (2000). Adaptive Thinking: Rationality in the Real World. Oxford University Press.
GilboaI. (2009). Theory of Decision under Uncertainty. Cambridge University Press.
GleasonA. M. (1957). Measures on the closed subspaces of a Hilbert space. Journal of Mathematical Mechanics, 6, 885–893.
GoschkeT. & KoppelbergD. (1991). The concept of representation and the representation of concepts in connectionist models. In Philosophy and Connectionist Theory, ed. W.Ramsey, S.Stich, & D.Rumelhart. Laurence Erlbaum, pp. 129–161.
GrabenP. B. & AtmanspacherH. (2006). Complementarity in classical dynamical systems. Foundations of Physics, 36, 291–306.
GrabenP. B. & AtmanspacherH. (2008). Extending the philosophical significance of the idea of complementarity. In Recasting Reality: Wolfgang Pauli's Philosophical Ideas and Contemporary Science, ed. H.Atmanspacher & H.Primas. Berlin: Springer, pp. 99–113.
GrattonG., ColesM. G., SirevaagE. J., EricksonC. J., & DonchinE. (1988). Pre- and poststimulus activation of response channels: a psychophysiological analysis. Journal of Experimental Psychology: Human Perception and Performance, 14, 331–344.
GriffithsR. (2002). Consistent Quantum Theory. Cambridge University Press.
GriffithsR. B. (2003). Consistent Quantum Theory. Cambridge University Press.
GriffithsT. L., KempC., & TenenbaumJ. B. (2008). Bayesian models of cognition. Cambridge Handbook of Computational Cognitive Modeling, In ed. R.Sun. Cambridge University Press, pp. 59–100.
GriffithsT., SteyversM., & TenenbaumJ. (2007). Topics in semantic memory. Psychological Review, 114(2), 211–244.
GrossbergS. (1982). Studies of Mind and Brain: Neural Principles of Learning, Perception, Development, Cognition, and Motor Control. Reidel.
GrossbergS. (2000). The complementary brain: unifying brain dynamics and modularity. Trends in Cognitive Science, 4, 233–246.
GroverL. K. (1997). Quantum mechanics helps in searching for a needle in a haystack. Physical Review Letters, 79(2), 325–327.
GudderS. P. (1979). Stochastic Methods in Quantum Mechanics. Dover.
GudderS. P. (1988). Quantum Probability. Academic Press.
GuptaS. & ZiaR. K. P. (2001). Quantum neural networks. Journal of Computer and System Science, 63(3), 355–383.
HaganS., HameroffS., & TuszynksiJ. (2002). Quantum computation in brain microtubles? Decoherence and biological feasibility. Physical Reviews E, 65, 061901.
HalmosP. R. (1993). Finite-Dimensional Vector Spaces. Springer.
HalpernJ. Y. & FaginR. (1992). Two views of belief: belief as generalized probability and belief as evidence. Artificial Intelligence, 54, 275–317.
HameroffS. R. (1998). Quantum computation in brain microtubles? The Penrose–Hameroff “Orch Or” model of consciousness. Philosophical Transactions of the Royal Society London (A), 356, 1869–1896.
HameroffS. R. (2007). The brain is both a neurocomputer and quantum computer. Cognitive Science, 31, 1035–1045.
HammondK. R. (1987). Direct comparison of the efficacy of intuitive and analytic cognition in expert judgment. IEEE Transactions on Systems, Man, and Cybernetics, SMC-17(5), 753–770.
HamptonJ. (1988). Overextension of conjunctive concepts: evidence for a unitary model for concept typicality and class inclusion. Journal of Experimental Psychology, 14(1), 12–32.
HamptonJ. (1997). Conceptual combination. In Knowledge, Concepts, and Categories, ed. K.Lamberts & D.Shank. MIT Press, pp. 133–160.
HastieR. & ParkB. (1988). The relationship between memory and judgment depends on whether the judgment is memory-based or on-line. Psychological Review, 93, 258–268.
HavenE. (2002). A discussion on embedding the Black–Scholes option pricing model in a quantum physics setting. Physica A, 304, 507–524.
HeisenbergW. (1958). Physics and Philosophy. Harper and Row.
HeyJ. D. & KnollJ. A. (2007). How far ahead do people plan? Economic Letters, 96, 8–13.
HistrovaE. & GrinbergM. (2008). Disjunction effect in prisoner's dilemma: evidences from an eye-tracking study. In Proceedings of the 30th Annual Conference of the Cognitive Science Society, ed. B.Love, K.McCrae, & V. M.Sloutsky. Austin, TX: Cognitive Science Society.
HogarthR. & EinhornH. J. (1992). Order effects in belief updating: the belief adjustment modeling. Cognitive Pschology, 24, 1–55.
HowardR. A. (1971). Dynamic Probabilistic Systems: Volume I Markov models. John Wiley & Sons, Inc.
HoyerP. (2000). Arbitrary phases in quantum amplitude amplification. Physical Review A, 62, 052304-1–052304-5.
HughesR. I. G. (1989). The Structure and Interpretation of Quantum Mechanics. Harvard University Press.
HumphreysM., BainJ., & PikeR. (1989a). Different ways to cue a coherent memory system: a theory for episodic, semantic and procedural tasks. Psychological Review, 96, 208–233.
HumphreysM., PikeR., BainJ., & TehanG. (1989b). Global matching: a comparison of the Siam, Minerva II, matrix and Todam models. Journal of Mathematical Psychology, 33, 36–67.
IqbalA. & AbbotD. (2009). Non-factorizable joint probabilities and evolutionarily stable strategies in the quantum prisoner's dilemma game. Physics Letters A, 373, 2537–2541.
IshamC. (1995). Lectures on Quantum Theory. Imperial College Press.
IshamC. (2004). Lectures on Quantum Theory. Imperial College Press.
IvancevicV. & AidmanE. (2007). Life space foam: a medium for motivational and cognitive dynamics. Physica A, 382, 616–630.
IvancevicV. G. & IvancevicT. T. (2010). Quantum Neural Computation. Springer.
JacobyL. L. (1991). A process dissociation framework: separating automatic from intentional uses of memory. Journal of Memory and Language, 30, 513–541.
JamesW. (1890). The Principles of Psychology. Dover.
JibuM. & YasueK. (1995). Quantum Brain Dynamics and Consciousness. Amsterdam: Benjamins.
JonesK. R. W. (1991). Principles of quantum inference. Annals of Physics, 207, 140–170.
JonesM. & MewhortD. (2007). Representing word meaning and order information in a composite holographic lexicon. Psychological Review, 114(1), 1–37.
JonesM., KintschW., & MewhortD. (2006). High-dimensional semantic space accounts of priming. Journal of Memory and Language, 55, 534–552.
KahnemanD., & TverskyA. (1979). Prospect theory: an analysis of decision under risk. Econometrica, 47, 263–291.
KhrennikovA. Y. & HavenE. (2009). Quantum mechanics and violations of the sure thing principle: the use of probability interference and other concepts. Journal of Mathematical Psychology, 53(5), 378–388.
KhrennikovA. Y. (1999). Classical and quantum mechanics on information spaces with applications to cognitive, psychological, social, and anomalous phenomena. Foundations of Physics, 29, 1065–1098.
KhrennikovA. Y. (2004). Information Dynamics in Cognitive, Psychological, Social and Anomalous Phenomena. Kluwer Academic.
KhrennikovA. Y. (2007). Can quantum information be processed by macroscopic systems? Quantum Information Processing, 6(6), 401–429.
KhrennikovA. Y. (2010). Ubiquitous Quantum Structure: From Psychology to Finance. Springer.
KolmogorovA. N. (1933/1950). Foundations of the Theory of Probability. New York: Chelsea Publishing Co.
KoudaN., MatsuiN., NishimuraH., & PeperF. (2005). Qubit neural network and its learning efficiency. Neural Computation and Applications, 14, 114–121.
KruschkeJ. K. (2010). Doing Bayesian Data Analysis: A Tutorial with R and BUGS. Academic Press.
KuhbergerA., KomunskaD., & PernerJ. (2001). The disjunction effect: does it exist for two-step gambles? Organizational Behavior and Human Decision Processes, 85(2), 250–264.
La MuraP. (2009). Projective expected utility. Journal of Mathematical Psychology, 53(5), 408–414.
La MuraP., & SwiatczakL. (2007). Markov entanglement networks. In Quantum Interaction, ed. P.Bruza, W.Lawless, K.van Rijsbergen, & D. A.Sofge. AAAI Press.
LairdJ. E., NewellA., & RosenbloomP. S. (1987). Soar: an architecture for general intelligence. Artificial Intelligence, 33, 1–64.
LaloëF. (2001). Do we really understand quantum mechanics? Strange correlations, paradoxes, and theorems. American Journal of Physics, 69(6), 655–701.
LambdinC. & BurdsalC. (2007). The disjunction effect reexamined: relevant methodological issues and the fallacy of unspecified percentage comparisons. Organizational Behavior and Human Decision Processes, 103, 268–276.
Lambert-MogilianskyA. & BusemeyerJ. R. (2009). An exploration of type indeterminacy in strategic decision making. In Quantum Interaction: Proceedings of the Third Quantum Interaction Symposium, ed. P.Bruza, D. A.Sofge, W.Lawless, K.van Rijsbergen, & M.Klusch. Springer, pp. 113–128.
Lambert-MogilianskyA., ZamirS., & ZwirnH. (2009). Type indeterminacy: a model of the KT (Kahneman–Tversky)-man. Journal of Mathematical Psychology, 53(5), 349–361.
LamingD. R. (1968). Information Theory of Choice Reaction Time. Wiley.
LandauerT. & DumaisS. (1997). A solution to Plato's problem: the latent semantic analysis theory of acquisition, induction and representation of knowledge. Psychological Review, 104, 211–240.
LandauerT., FoltzP., & LahamD. (1998). An introduction to latent semantic analysis. Discourse Processes, 25(2–3), 259–284.
LargeE. W. & JonesM. R. (1999). The dynamics of attending: how people track time-varying events. Psychological Review, 106, 119–159.
LeggettA. J. & GargA. (1985). Quantum mechanics versus macroscopic realism: is the flux there when nobody looks? Physical Review Letters, 54, 857–860.
LevyJ. & BullinariaJ. (1999). Learning lexical properties from word usage patterns: which context words should be used? In Connectionist Models of Learning, Development and Evolution: Proceedings of the Sixth Neural Computation and Psychology Workshop, ed. R.French & J.Sounge. Springer, pp. 273–282.
LinkS. W. (1992). The Wave Theory of Difference and Similarity. Earlbaum.
LiS. & TaplinJ. (2002). Examining whether there is a disjunction effect in prisoner's dilemma games. Chinese Journal of Psychology, 44(1), 25–46.
LittA., EliasmithC., KroonF. W., WeinsteingS., & ThagardP. (2006). Is the brain a quantum computer? Cognitive Science, 30, 593–603.
LittmanM. L. (2009). A tutorial on partially observable Markov decision processes. Journal of Mathematical Psychology, 53, 119–125.
LoweW. (2000). What is the dimensionality of human semantic space? In Connectionist Models of Learning, Development and Evolution: Proceedings of the Sixth Neural Computation and Psychology Workshop, ed. R.French & J.Sounge. Springer, pp. 303–311.
LoweW. (2001). Towards a theory of semantic space. In J. D.Moore & K.Stenning (Eds.), Proceedings of the Twenty-Third Annual Conference of the Cognitive Science Society. Lawrence Erlbaum Associates, pp. 576–581.
LuceR. D. (2000). Utility of Gains and Losses. Erlbaum.
LundK. & BurgessC. (1996). Producing high-dimensional semantic spaces from lexical co-occurrence. Behavior Research Methods, Instruments & Computers, 28(2), 203–208.
MachinaM. (1989). Dynamic inconsistency and non-expected utility models of choice under uncertainty. Journal of Economic Literature, 27, 1622–1668.
ManousakisE. (2009). Quantum formalism to describe binocular rivalry (arXiv, 0709, 4516v2).
MaudlinT. (1994). Quantum Non-Locality and Relativity: Metaphysical Intimations of Modern Physics, Aristotelian Society Series, vol. 13. Blackwell.
McArthurR. (2006). Computing with meaning by operationalising sociocognitive semantics. Unpublished doctoral dissertation, Queensland University of Technology.
MedinD. & ShobenE. (1988). Context and structure in conceptual combination. Cognitive Psychology, 20, 58–190.
MeyerD. & KieresD. E. (1997). A computational theory of executive cognitive processes and multiple task performance. Part 1. Basic processes. Psychological Review, 104, 2–65.
MeyerD. A. (1999). Quantum strategies. Physical Review Letters, 82, 1052–1055.
MitchellJ. & LapataM. (2010). Composition in distributional models of semantics. Cognitive Science, 34, 1388–1429.
MiyamotoJ. M., GonzalezR., & TuS. (1995). Compositional anomalies in the semantics of evidence. In Decision Making from a Cognitive Perspective, ed. J. R.Busemeyer, D. L.Medin, & R.Hastie. New York: Academic Press, pp. 1–50.
MooreD. W. (2002). Measuring new types of question-order effects. Public Opinion Quarterly, 66, 80–91.
MorierD. M. & BorgidaE. (1984). The conjuction fallacy: a task specific phenomena? Personality and Social Psychology Bulletin, 10, 243–252.
MurphyG. (1988). Comprehending complex concepts. Cognitive Science, 12, 529–562.
NarensL. (2007). Theories of Probability: An Examination of Logical and Qualitative Foundations. World Scientific Publishing Company.
NarensL. (2009). A foundation for support theory based on a non-Boolean event space. Journal of Mathematical Psychology, 53, 399–407.
NelsonD. & GoodmonL. (2002). Experiencing a word can prime its accessibility and its associative connections to related words. Memory & Cognition, 30, 380–398.
NelsonD. & McEvoyC. (1979). Encoding context and set size. Journal of Experimental Psychology: Human Learning and Memory, 5(3), 292–314.
NelsonD. & McEvoyC. (2005). Implicitly activated memories: the missing links of remembering. In Learning and Memory: Advances in Theory and Applications, ed. C.Izawa & N.Ohta. New Jersey: Erlbaum, pp. 177–198.
NelsonD. & McEvoyC. (2007). Entangled associative structures and context. In Proceedings of the AAAI Spring Symposium on Quantum Interaction, ed. P.Bruza, W.Lawless, C.van Rijsbergen, & D.Sofge. AAAI Press.
NelsonD., BennettD., & LeibertT. (1997). One step is not enough: making better use of association norms to predict cued recall. Memory & Cognition, 25(6), 785–796.
NelsonD., BennettD., GeeN., SchreiberT., & McKinneyV. (1993b). Implicit memory: effects of network size and interconnectivity on cued recall. Journal of Experimental Psychology: Learning, Memory and Cognition, 19(4), 747–764.
NelsonD., McEvoyC., & PointerL. (2003). Spreading activation or spooky action at a distance? Journal of Experimental Psychology: Learning, Memory and Cognition, 29(1), 42–52.
NelsonD., McEvoyC., & SchreiberT. (2004). The University of South Florida, word association, rhyme and word fragment norms. Behavior Research Methods, Instruments & Computers, 36, 408–420.
NelsonD., McEvoyC., JanczuraG., & XuJ. (1993a). Implicit memory and inhibition. Journal of Memory and Language, 32, 667–691.
NelsonD., McKinneyV., GeeN., & JanczuraG. (1998). Interpreting the influence of implicitly activated memories on recall and recognition. Psychological Review, 105(2), 299–324.
NelsonD., SchreiberT., & McEvoyC. (1992). Processing implicit and explicit representations. Psychological Review, 99(2), 322–348.
NielsenM. A. & ChuangI. L. (2000). Quantum Computation and Quantum Information. Cambridge University Press.
NiesteggeG. (2008). An approach to quantum mechanics via conditional probabilities. Foundations of Physics, 38, 241–256.
NilssonH. (2008). Exploring the conjunction fallacy within a category learning framework. Journal of Behavioral Decision Making, 21, 471–490.
NosofskyR. M. (1988). Exemplar-based accounts of relations between classification, recognition, and typicality. Journal of Experimental Psychology: Learning, Memory, and Cognition, 14, 700–708.
NovakovichD., BruzaP., & SitbonL. (2009). Inducing shades of meaning by matrix methods: a first step towards thematic analysis of opinion. In Proceedings of the Third International Conference on Advances in Semantic Processing (Semapro'09). IEEE Press, pp. 86–91.
NunezP., & SrinivasanR. (2006). Electric Fields of the Brain: The Neurophysics of EEG, 2nd edn. Oxford University Press.
OaksfordM. & ChaterN. (2009). Précis of Bayesian rationality: the probabilistic approach to human reasoning. Behavioral and Brain Sciences, 32, 69–120.
PashlerH. (1998). The Psychology of Attention. MIT Press.
PatelM., BullinariaJ., & LevyJ. (1997). Extracting semantic representations from large text corpora. In Connectionist models of Learning, Development and Evolution: Proceedings of the Fourth Neural Computation and Psychology Workshop, ed. R.French & J.Sounge. Springer, pp. 199–212.
PayneJ., BettmanJ. R., & JohnsonE. J. (1992). Behavioral decision research: a constructive processing perspective. Annual Review of Psychology, 43, 87–131.
PearlJ. (1988). Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann.
PelletierJ. (1994). The principle of semantic compositionality. Topoi, 13, 11–24.
PelletierJ. (2001). Did Frege believe Frege's principle? Logic, Language and Information, 10(1), 87–114.
PenroseW. (1989). The Emperor's New Mind. Oxford University Press.
PercivalI. (1998). Quantum State Diffusion. Cambridge University Press.
PeresA. (1998). Quantum Theory: Concepts and Methods. Kluwer Academic.
PiotrowskiE. W. & SladkowskiJ. (2002). An invitation to quantum game theory. International Journal of Theoretical Physics, 42, 1089–1099.
PitowskiI. (1989). Quantum Probability, Quantum Logic (vol. 321 Lecture Notes in Physics). Springer.
PothosE. M. & BusemeyerJ. R. (2009). A quantum probability model explanation for violations of ‘rational’ decision making. Proceedings of the Royal Society, B., 276(1665), 2171–2178.
PothosE. M. & BusemeyerJ. R. (2011). A quantum probability explanation for violations of symmetry in similarity judgments. In Proceedings of the Cognitive Science Society.
PribramK. H. (1993). Rethinking Neural Networks: Quantum Fields and Biological Data. Erlbaum.
PrimasH. (2007). Non-Boolean descriptions for mind–matter problems. Mind & Matter, 5(1), 7–44.
RabinerL. R. (1989). A tutorial on hidden Markov models and selected applications in speech recognition. Proceedings of the IEEE, 77(2), 257–286.
RatcliffR., & SmithP. (2004). A comparison of sequential sampling models for two-choice reaction time. Psychological Review, 111, 333–367.
RegenwetterM., DanaJ., & Davis-StoberC. P. (2011). Transitivity of preferences. Psychological Review, 118, 42–56.
ReynaV. & BrainerdC. J. (1995). Fuzzy-trace theory: an interim synthesis. Learning and Individual Differences, 7, 1–75.
RicciardiL. M. & UmezawaH. (1967). Brain and physics of many bodied problems. Kybernetik, 4, 44–48.
RotelloC. M., MacmillanN. A., & ReederJ. A. (2004). Sum-difference theory of remembering and knowing: a two-dimensional signal-detection model. Psychological Review, 111(3), 588–616.
RumelhartD. E. & McClellandJ. L. (1986). Parallel Distributed Processing: Explorations in the Microstructure of Cognition. MIT Press.
RydellR. J., McConnellA. R., & MackieD. M. (2006). Of two minds: forming and changing valence-inconsistent implicit and explicit attitudes. Psychological Science, 17(11), 954–958.
SahlgrenM. (2002). Towards a flexible model of word meaning. AAAI Spring Symposium 2002, March 25–27, Stanford University, Palo Alto, CA.
SahlgrenM. (2006). The word-space model. Unpublished doctoral dissertation, Stockholm University.
SahlgrenM., HolstA., & KanervaP. (2008). Permutations as a means to encode order in word space. In Proceedings of the 30th Annual Meeting of the Cognitive Science Society (Cogsci'08). Washington, DC.
SakuraiJ. J. (1994). Modern Quantum Mechanics. New York: Addison-Wesley.
SavageL. J. (1954). The Foundations of Statistics. John Wiley & Sons.
SchützeH. (1998). Automatic word sense discrimination. Computational Linguistics, 24(1), 97–124.
SchachterS. & SingerJ. E. (1962). Cognitive, social, and physiological determinants of emotional state. Psychological Review, 69(5), 379–399.
SchackR., BrunT. A., & CavesC. M. (2001). Quantum Bayes rule. Physical Review A, 64, 014305-1–014305-4.
SchumanH. & PresserS. (1981). Questions and Answers in Attitude Surveys: Experiments on Question Form, Wording, and Content. New York: Academic Press.
SchwartzJ., StappH., & BeauregardM. (2005). Quantum physics in neuroscience and psychology: a neurophysical model of mind–brain interaction. The Philosophical Transactions of the Royal Society B, 360(1458), 1309–1327.
SchwarzN. (2007). Attitude construction: evaluation in context. Social Cognition, 25, 638–656.
ShaferG. (1976). A Mathematical Theory of Evidence. Princeton University Press.
ShafirE. & TverskyA. (1992). Thinking through uncertainty: nonconsequential reasoning and choice. Cognitive Psychology, 24, 449–474.
ShermanS. J. (1980). On the self-erasing nature of errors of prediction. Journal of Personality and Social Psychology, 39, 210–221.
ShiffrinR. M. & SchneiderW. (1977). Controlled and automatic human information processing II: perceptual learning, automatic attending, and a general theory. Psychological Review, 84, 127–190.
ShiffrinR. M. (2010). Perspectives on modeling in cognitive science. Topics in Cognitive Science, 2, 736–750.
ShimonyA. (2009). Bell's theorem. In The Stanford Encyclopedia of Philosophy, Summer 2009 edn, ed. E.Zalta. Stanford University (http://plato.stanford.edu/archives/sum2009/entries/bell-theorem/).
SidesA., OshersonD., BoniniN., & VialeR. (2002). On the reality of the conjunction fallacy. Memory and Cognition, 30, 191–198.
SimonH. A. (1957). Models of Man. New York: Wiley.
SimpsonG. (1994). Context and the processing of ambiguous words. In Handbook of Pyscholinguistics, ed. M.Gernsbacher. Academic Press, pp. 359–374.
SlomanS. A. (1993). Feature-based induction. Cognitive Psychology, 25, 231–280.
SlomanS. A. (1996). The empirical case for two systems of reasoning. Psychological Bulletin, 119, 3–22.
SmithE. R. & DeCosterJ. (2000). Dual process models in social and cognitive psychology: conceptual integration and links to underlying memory systems. Personality and Social Psychology Review, 4, 108–131.
StanovichK. E. & WestR. F. (2000). Individual differences in reasoning: implications for the rationality debate. Brain and Behavioral Sciences, 23, 645–726.
StappH. P. (2009). Mind, Matter, and Quantum Mechanics, 3rd edn. Springer.
SteyversM. & TenenbaumJ. (2005). Graph theoretic analysis of semantic networks: small worlds in semantic networks. Cognitive Science, 29(1), 41–78.
Stolarz-FantinoS., FantinoE., ZizzoD. J., & WenJ. (2003). The conjunction effect: new evidence for robustness. American Journal of Psychology, 116(1), 15–34.
StrangG. (1980). Linear Algebra and its Applications. Academic Press.
StrotzR. H. (1956). Myopia and inconsistency in dynamic utility maximization. Review of Economic Studies, 23(3), 165–180.
SunR., MerrilE., & PetersonT. (2001). From implicit skills to explicit knowledge: a bottom up model of skill learning. Cognitive Science, 25(2), 203–244.
SuppesP., de BarrosA., & OasG. (2011). Neural phase oscillator representations of behavioral stimulus response models. Journal of Mathematical Psychology, under review.
SuttonR. & BartoA. G. (1998). Reinforcement Learning: An Introduction. MIT Press.
SwinneyD., LoveT., WalenskiM., & SmithE. (2007). Conceptual combination during sentence comprehension: evidence for compositional processes. Psychological Science, 18(5), 397–400.
TegmarkM. (2000). Importance of quantum decoherence in brain processes. Physical Review E, 61(4), 4194–4206.
TorontoN. & VenturaD. (2006). Learning quantum operators from quantum state pairs. In IEEE World Congress on Computational Intelligence, pp. 2607–2612.
TourangeauR., RasinskiK. A., & BradburnN. (1991). Measuring happiness in surveys: a test of the subtraction hypothesis. Public Opinion Quarterly, 55(2), 255–266.
TourangeauR., RipsL. J., & RasinskiK. A. (2000). The Psychology of Survey Response. Cambridge University Press.
TownsendJ. T., & AshbyG. F. (1983). Stochastic Modeling of Elementary Psychological Processes. Cambridge University Press.
TownsendJ. T., SilvaK. M., Spencer-SmithJ., & WengerM. (2000). Exploring the relations between categorization and decision making with regard to realistic face stimuli. Pragmatics and Cognition, 8, 83–105.
TruebloodJ. S. & BusemeyerJ. R. (2011). A quantum probability model for order effects on inference. Cognitive Science, 35(8), 1518–1552.
TruebloodJ. S. & BusemeyerJ. R. (2012). A quantum probability model of causal reasoning. Frontiers in Cognitive Science, in press.
TucciR. R. (1995). Quantum Bayesian nets. International Journal of Modern Physics, B, 9, 295–337.
TucciR. R. (1997). Quantum Bayesian refs. arxivsquant-ph/9706039v1.
TverskyA. & FoxC. R. (1995). Weighing risk and uncertainty. Psychological Review, 102(2), 269–283.
TverskyA. & KahnemanD. (1983). Extensional versus intuitive reasoning: The conjunctive fallacy in probability judgment. Psychological Review, 90, 293–315.
TverskyA. & KahnemanD. (1990). Advances in prospect theory: cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297–323.
TverskyA. & KoehlerD. J. (1994). Support theory: a nonextensional representation of subjective probability. Psychological Review, 101, 547–567.
TverskyA. & ShafirE. (1992). The disjunction effect in choice under uncertainty. Psychological Science, 3, 305–309.
Van RijsbergenK. (2004). The Geometry of Infomation Retrieval. Cambridge University Press.
VenturaD. & MartinezT. (2000). Quantum associative memory. Information Sciences, 124, 273–296.
VickersD. (1979). Decision Processes in Perception. Academic Press.
VitielloG. (1995). Dissipation and memory capacity in the quantum brain model. International Journal of Modern Physics, B, 9, 973–989.
VitielloG. (2001). My Double Unveiled. Amsterdam: John Benjamins Publishing Co.
VitielloG. (2009). Fractals and the Fock–Bargmann representation of coherent states. In QI2009, ed. P.Bruza, D.Sofge, W.Lawless, K.van Rijsbergen, & M.Klusch. Lecture Notes in Artificial Intelligence, vol. 5494. Springer, 6–16.
von FoersterH. (1950). Quantum mechanical theory of memory. In Cybernetics: Transactions of the Sixth Conference, ed. H.von Foerster. Josiah Macy, Jr. Foundation, pp. 112–145.
Von NeumannJ. & MorgensternO. (1944). Theory of Games and Economic Behavior. New Jersey: Princeton University Press.
Von NeumannJ. (1932/1955). Mathematical Foundations of Quantum Theory. Princeton University Press.
Von SidowM. (2011). The Bayesian logic of frequency–based conjunction fallacies. Journal of Mathematical Psychology, 55, 119–139.
Von WinterfeldtD. & EdwardsW. (1986). Decision Analysis and Behavioral Research. Cambridge University Press.
WakkerP. (2010). Prospect Theory: For Risk and Ambiguity. Cambridge University Press.
WallstenT., BudescuD., & ZwickR. (1992). Comparing the calibration and coherence of numerical and verbal probability judgments. Management Science, 39, 176–190.
WangJ., SongD., Zh, HouY., & BruzaP. (2010). Explanation of relevance judgement discrepancy with quantum interference. In Quantum Informatics for Cognitive, Social, and Semantic Processes (QI 2010), ed. P.Bruza, W.Lawless, C.von Rijsbergen, D.Sofge, & D.Widdows. AAAI Press.
WangZ. & BusemeyerJ. R. (2012). Explaining and predicting question order effects using a quantum probability model. Under review (http:mypage.in.edu/~jbusemeyer/quantum/QuestOrdEff.pdf).
WardL. M. (2003). Synchronous neural oscillations and cognitive processes. Trends in Cognitive Science, 7(12), 553–559.
WedellD. H. & MoroR. (2008). Testing boundary conditions for the conjunction fallacy: effects of response mode, conceptual focus, and problem type. Cognition, 107, 105–136.
WeiskopfD. (2007). Compound nominals, context and compositionality. Synthese, 156, 161–204.
WiddowsD. & BruzaP. (2007). Quantum information dynamics and open world science. In Quantum Interaction, ed. P.Bruza, W.Lawless, C.von Rijsbergen, & D.Sofge. AAAI Press.
WiddowsD. & CohenT. (2008). Semantic vector combinations and the synoptic gospels. In Proceedings of the Third Quantum Interaction Symposium, vol. 5494. Springer, pp. 251–264.
WiddowsD. (2004). Geometry and Meaning. CSLI Publications.
WilesJ., HalfordG., StewartJ., HumphreysM., BainJ., & WilsonW. (1994). Tensor models: a creative basis for memory and analogical mapping. In Artificial Intelligence and Creativity, ed. T.Dartnall. Kluwer Academic Publishers, pp. 145–159.
WinsbergE. & FineA. (2003). Quantum life: interaction, entanglement, and separation. Journal of Philosophy, 100(2), 80–97.
WisniewskiE. J. (1996). Construal and similarity in conceptual combination. Journal of Memory and Language, 35(3), 435–453.
WoolfN. J. & HameroffS. R. (2001). A quantum approach to visual consciousness. Trends in Cognitive Science, 5, 472–478.
WyerR. (1976). An investigation of the relations among probability estimates. Organizational Behavior and Human Performance, 15, 1–18.
YukalovV. I. & SornetteD. (2008). Quantum decision theory as quantum theory of measurement. Physical Letters A, 372, 6867–6871.
YukalovV. I. & SornetteD. (2009). Physics of risk and uncertainty in quantum decision making. European Physical Journal B, 71, 533–548.
YukalovV. I. & SornetteD. (2010). Decision theory with prospect interference and entanglement. Theory and Decision, 70, 283–328.
ZadehL. (1965). Fuzzy sets. Information and Control, 8, 338–353.
ZadroznyW. (1994). From compositional to systematic semantics. Linguistics and Philosophy, 17(4), 329–342.
ZakM. & WilliamsC. P. (1998). Quantum neural nets. International Journal of Theoretical Physics, 37, 651–684.
ZucconG. & AzzopardiL. (2010). Using the quantum probability ranking principle to rank interdependent documents. In Advances in Information Retrieval, 32nd European Conference on IR Research (ECIR 2010). Springer, pp. 357–369.
ZucconG., AzzopardiL., & van RijsbergenC. (2009). Semantic spaces: measuring the distances between different subspaces. In Proceedings of the Third Quantum Interaction Symposium, vol. 5494. Springer, pp. 225–236.
ZucconG., AzzopardiL., HauffC., & von RijsbergenC. (2010). Estimating interference in the QPRP for subtopic retrieval. In Proceedings of the 32nd Annual ACM Conference of Research and Development in Information Retrieval (SIGIR 2004).