Paper Info
Title
Fuzzy and probabilistic choice functions: a new set of rationality conditions
Abstract
Probabilistic and fuzzy choice theory are used to describe decision situations in which a certain degree of imprecision is involved. In this work we propose a correspondence between probabilistic and fuzzy choice functions, based on implication operators. Given a probabilistic choice function a fuzzy choice function can be constructed and, furthermore, a new set of rationality conditions is proposed. Finally, we prove that under those conditions, the associated fuzzy choice function fulfills desirable rationality properties.
Year
Venue
Keywords
2015
PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY
Probabilistic choice,Fuzzy choice,Rationality conditions,Individual choice theory,Implication operators
Field
DocType
Volume
Ecological rationality,Discrete mathematics,Mathematical optimization,Rational choice theory,Rationality,Fuzzy logic,Probabilistic logic,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics,Choice function
Conference
89
ISSN
Citations 
PageRank 
1951-6851
0
0.34
References 
Authors
8
4
Name
Order
Citations
PageRank
Davide Martinetti1348.47
Susana Montes238049.26
Susana Díaz316823.11
Bernard De Baets42994300.39