On a correspondence between probabilistic and fuzzy choice functions

Davide Martinetti (), Susana Montes (), Susana Díaz () and Bernard Baets ()
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Davide Martinetti: University of Oviedo
Susana Montes: University of Oviedo
Susana Díaz: University of Oviedo
Bernard Baets: Ghent University

Fuzzy Optimization and Decision Making, 2018, vol. 17, issue 3, No 1, 247-264

Abstract: Abstract Probabilistic and fuzzy choice functions are used to describe decision situations in which some degree of uncertainty or imprecision is involved. We propose a way to equate these two formalisms by means of residual implication operations. Furthermore, a set of new rationality conditions for probabilistic choice functions is proposed and proved to be sufficient to ensure that the associated fuzzy choice function is rational.

Keywords: Probabilistic choice; Fuzzy choice; Rationality conditions; Individual choice theory; Residual implication operation (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10700-017-9272-1

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