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

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

Authors
Ignacio Montes, Enrique Miranda, Susana Montes
Corresponding Author
Ignacio Montes
Available Online June 2015.
DOI
https://doi.org/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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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.86How to use a DOI?
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/).

Cite this article

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  - https://doi.org/10.2991/ifsa-eusflat-15.2015.86
ID  - Montes2015/06
ER  -