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Quantum-Like Representation of Non-Bayesian Inference
Tokyo University of Science.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-2396-6193
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
Tokyo University of Science.
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2013 (English)In: Quantum Bio-Informatics V - Proceedings of the Quantum Bio-Informatics 2011: Tokyo University of Science, Japan, 7 – 12 March 2011 / [ed] Luigi Accardi, Wolfgang Freudenberg, Masanori Ohya, World Scientific, 2013, p. 57-67Conference paper, Published paper (Refereed)
Abstract [en]

This research is related to the problem of “irrational decision making or inference” that have been discussed in cognitive psychology. There are some experimental studies, and these statistical data cannot be described by classical probability theory. The process of decision making generating these data cannot be reduced to the classical Bayesian inference. For this problem, a number of quantum-like coginitive models of decision making was proposed. Our previous work represented in a natural way the classical Bayesian inference in the frame work of quantum mechanics. By using this representation, in this paper, we try to discuss the non-Bayesian (irrational) inference that is biased by effects like the quantum interference. Further, we describe “psychological factor” disturbing “rationality” as an “environment” correlating with the “main system” of usual Bayesian inference.

Place, publisher, year, edition, pages
World Scientific, 2013. p. 57-67
Series
QP-PQ: Quantum Probability and White Noise Analysis, ISSN 1793-5121 ; 30
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-33668DOI: 10.1142/9789814460026_0006ISI: 000337567400006ISBN: 978-981-4460-01-9 (print)OAI: oai:DiVA.org:lnu-33668DiVA, id: diva2:710729
Conference
Quantum Bio-Informatics 2011, Tokyo University of Science, Japan, 7 – 12 March 2011
Available from: 2014-04-08 Created: 2014-04-08 Last updated: 2018-05-16Bibliographically approved

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Basieva, IrinaKhrennikov, Andrei

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CiteExportLink to record
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