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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
- 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.
- Copyright
- © 2013, 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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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 - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 896 EP - 901 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.126 DO - 10.2991/eusflat.2013.126 ID - Martinetti2013/08 ER -