Fuzzy and probabilistic choice functions: a new set of rationality conditions
- https://doi.org/10.2991/ifsa-eusflat-15.2015.71How to use a DOI?
- Probabilistic choice, fuzzy choice, rationality conditions, individual choice theory, implication operators.
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.
- © 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/).
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 -