Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Bridging Probabilistic and Fuzzy Approaches to Choice Under Uncertainty

Authors
Davide Martinetti, Susana Díaz, Susana Montes, Bernard De Baets
Corresponding Author
Davide Martinetti
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.126How to use a DOI?
Keywords
Fuzzy choice function probabilistic choice function fuzzy implication operator fuzzy revealed preference reciprocal relation bipolar/unipolar scale
Abstract
Imprecise choices can be described using either a probabilistic or a fuzzy formalism. No relation between them has been studied so far. In this contribution we present a connection between the two formalisms that strongly makes use of fuzzy implication operators and t-norms. In this framework, Luce's Choice Axiom turns out to be a special case when the product t-norm is considered and other similar choice axioms can be stated, according to the t-norm in use. Also a new family of operators for transforming bipolar relations into unipolar ones is presented.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.126How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Davide Martinetti
AU  - Susana Díaz
AU  - Susana Montes
AU  - Bernard De Baets
PY  - 2013/08
DA  - 2013/08
TI  - Bridging Probabilistic and Fuzzy Approaches to Choice Under Uncertainty
BT  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.126
DO  - https://doi.org/10.2991/eusflat.2013.126
ID  - Martinetti2013/08
ER  -