Fuzzy and probabilistic choice functions: a new set of rationality conditions

DOI

10.2991/ifsa-eusflat-15.2015.71How to use a DOI?

Keywords

Probabilistic choice, fuzzy choice, rationality conditions, individual choice theory, implication operators.

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Davide Martinetti
AU  - Susana Montes
AU  - Susana Díaz
AU  - Bernard De Baets
PY  - 2015/06
DA  - 2015/06
TI  - Fuzzy and probabilistic choice functions: a new set of rationality conditions
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 492
EP  - 497
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.71
DO  - 10.2991/ifsa-eusflat-15.2015.71
ID  - Martinetti2015/06
ER  -