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Psychological Sciences Faculty

Ehtibar DzhafarovEhtibar Dzhafarov

Professor, Mathematical and Computational Cognitive Science

Mailing Address:
Department of Psychological Sciences
Purdue University
703 Third Street
West Lafayette, IN 47907-2081 USA

Campus Address:
Peirce Hall, Room 365D

E-mail: ehtibar@psych.purdue.edu
Website: http://www2.psych.purdue.edu/~ehtibar/


Degree: Ph.D. Moscow (Lomonosov) State University, Russia, 1979, Mathematical, Cognitive

Research Interests:

Mathematical theory of subjective dissimilarities among perceived stimuli; fundamental properties and abstract models of perceptual discrimination; multidisciplinary theory of selective influences (which inputs influence which random outputs); mathematical theory of probabilistic context and its parallels with quantum physics.

Recent Publications:

Dzhafarov, E.N. & Dzhafarov, D.D. (2010). Sorites without vagueness I: Classificatory sorites. Theoria, 76, 4-24.

Dzhafarov, E.N. & Dzhafarov, D.D. (2010). Sorites without vagueness II: Comparative sorites. Theoria, 76, 25-53.

Dzhafarov, E.N. (2010). Dissimilarity Cumulation as a procedure correcting for violations of triangle inequality. Journal of Mathematical Psychology, 54, 284-287.

Dzhafarov, E.N. (2010). Dissimilarity, quasidistance, distance. Journal of Mathematical Psychology, 54, 334-337.

Dzhafarov, E.N. & Perry, L. (2010). Matching by adjustment: if X matches Y, does Y match X? Frontiers in Quantitative Psychology and Measurement. 1:24. doi:10.3389/fpsyg.2010.00024

Dzhafarov, E.N. & Kujala, J.V. (2010). The Joint Distribution Criterion and the Distance Tests for selective probabilistic causality. Frontiers in Quantitative Psychology and Measurement. 1:151 doi: 10.3389/fpsyg.2010.00151.

Trendtel, M., Ünlü, A., and Dzhafarov, E.N. (2010). Matrices satisfying Regular Minimality. Frontiers in Quantitative Psychology and Measuremen, 1:211. doi:10.3389/fpsyg.2010.00211.

Dzhafarov, E.N. (2011). Mathematical foundations of Universal Fechnerian Scaling. In B. Berglund, G.B. Rossi, J. Townsend, & L. Pendrill (Eds). Measurements With Persons (pp. 185-210). New York: Psychology Press.

Dzhafarov, E.N. & Colonius, H. (2011). The Fechnerian idea. American Journal of Psychology, 124, 127-140.

Dzhafarov, E.N., Ünlü, A., Trendtel, M., & Colonius, H. (2011). Matrices with a given number of violations of Regular Minimality. Journal of Mathematical Psychology, 55, 240–250.

Dzhafarov, E.N. (2011). On the reverse problem of Fechnerian Scaling. In E.N. Dzhafarov & L. Perry (Eds). Descriptive and Normative Approaches to Human Behavior (pp. 91-122). New Jersey: World Scientific.

Dzhafarov, D.D. & Dzhafarov, E.N. (2011). The equivalence of two ways of computing distances from dissimilarities for arbitrary sets of stimuli. Journal of Mathematical Psychology, 55, 469-472.

Dzhafarov, E.N. & Kujala, J.V. (2012). Selectivity in probabilistic causality: Where psychology runs into quantum physics. Journal of Mathematical Psychology, 56, 54-63.

Dzhafarov, E.N. & Dzhafarov, D.D. (2012). The sorites paradox: A behavioral approach. In L. Rudolph (Ed). Qualitative Mathematics for the Social Sciences: Mathematical Models for Research on Cultural Dynamics (pp. 105-136). London: Routledge.

Dzhafarov, E.N. & Kujala, J.V. (in press as of 2011). Order-distance and other metric-like functions on jointly distributed random variables. Proceedings of the American Mathematical Society.

Dzhafarov, E.N. & Kujala, J.V. (2012). Selectivity in probabilistic causality: Where psychology runs into quantum physics. Journal of Mathematical Psychology, 56, 54-63. (available as arXiv: 1110.2388.)

Dzhafarov, E.N. & Dzhafarov, D.D. (2012). The sorites paradox: A behavioral approach. In L. Rudolph (Ed). Qualitative Mathematics for the Social Sciences: Mathematical Models for Research on Cultural Dynamics (pp. 105-136). London: Routledge.

Colonius, H. & Dzhafarov, E.N. (2012). Ultrametric Fechnerian Scaling of discrete object sets. In M. Deza, M. Petitjean, & K. Markov (Eds.) Mathematics of Distances and Applications (pp. 129-132). ITHEA: Sofia.

Dzhafarov, E.N. & Kujala, J.V. (2012). Quantum entanglement and the issue of selective influences in psychology: An overview. Lecture Notes in Computer Science 7620, 184-195. (available as arXiv:1209.0041.)

Dzhafarov, E.N., & Kujala, J.V. (2013). Beyond quantum probability: Another formalism shared by quantum physics and psychology. A commentary on “Can Quantum Probability Provide a New Direction for Cognitive Modeling?” by E.M. Pothos and J.R. Busemeyer. Behavioral and Brain Sciences, 36, 283-284.

Dzhafarov, E.N. & Kujala, J.V. (2013). All-possible-couplings approach to measuring probabilistic context. PLoS ONE 8(5): e61712. doi:10.1371/journal.pone.0061712. (available as arXiv:1209.3430.)

Dzhafarov, E.N. & Kujala, J.V. (2013). Order-distance and other metric-like functions on jointly distributed random variables. Proceedings of the American Mathematical Society, 141, 3291-3301. (available as arXiv:1110.1228.)

Dzhafarov, E.N., & Kujala, J.V. (2014). Selective influences, marginal selectivity, and Bell/CHSH inequalities. Topics in Cognitive Science 6, 121-128 (available as arXiv:1211.2342.)

Jones, M., & Dzhafarov, E.N. (2014). Unfalsifiability and mutual translatability of major modeling schemes for choice reaction time. Psychological Review 121, 1-32.

Jones, M., & Dzhafarov, E.N. (2014). Analyzability, ad hoc restrictions, and excessive flexibility of evidenceaccumulation models: Reply to two critical commentaries. Psychological Review 121, 689-695.

Dzhafarov, E.N., & Kujala, J.V. (2014). No-Forcing and No-Matching theorems for classical probability applied to quantum mechanics. Foundations of Physics 44, 248-265 (available as arXiv:1305.3649.)

Dzhafarov, E.N., & Kujala, J.V. (2014). Embedding quantum into classical: contextualization vs conditionalization. PLoS One 9(3): e92818. doi:10.1371/journal.pone.0092818 (available as arXiv:1312.0097.)

Dzhafarov, E.N., & Kujala, J.V. (2014). A qualified Kolmogorovian account of probabilistic contextuality. Lecture Notes in Computer Science 8369, 201-212 (available as arXiv:1304.4546.)

Khrennikov, A., Basieva, I., Dzhafarov, E.N., & Busemeyer, J.R. (2014). Quantum models for psychological measurements: An unsolved problem. PLoS ONE 9(10): e110909. doi:10.1371/journal.pone.0110909 (available as arXiv:1403.3654.)

Dzhafarov, E.N., & Perry, L. (2014). Perceptual matching and sorites: Experimental study of an ancient Greek paradox. Attention, Perception, and Psychophysics 76, 2441-2464.

Dzhafarov, E.N., & Kujala, J.V. (2014). Contextuality is about identity of random variables. Physica Scripta T163, 014009 (available as arXiv:1405.2116.