Ranking fuzzy sets and fuzzy random variables by means of stochastic orders

DOI

10.2991/ifsa-eusflat-15.2015.86How to use a DOI?

Keywords

Fuzzy rankings, fuzzy random variables, stochastic orders, imprecise probabilities, possibility measures, p-boxes.

Abstract

This paper establishes a theory of decision making under uncertainty with fuzzy utilities. The extension of expected utility and stochastic dominance to the comparison of sets of random variables plays a crucial role. Their properties as fuzzy rankings are studied, and their definitions are further generalized to the comparison of fuzzy random variables. Also, a connection between expected utility for fuzzy random variables and the comparison of the lower/upper probabilities they induce is proven.

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  - Ignacio Montes
AU  - Enrique Miranda
AU  - Susana Montes
PY  - 2015/06
DA  - 2015/06
TI  - Ranking fuzzy sets and fuzzy random variables by means of stochastic orders
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  - 601
EP  - 608
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.86
DO  - 10.2991/ifsa-eusflat-15.2015.86
ID  - Montes2015/06
ER  -