Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

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

Authors
Davide Martinetti, Susana Montes, Susana Díaz, Bernard De Baets
Corresponding Author
Davide Martinetti
Available Online June 2015.
DOI
https://doi.org/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.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

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  - https://doi.org/10.2991/ifsa-eusflat-15.2015.71
ID  - Martinetti2015/06
ER  -