A perspective on the extension of stochastic orderings to fuzzy random variables

DOI

10.2991/ifsa-eusflat-15.2015.211How to use a DOI?

Keywords

Fuzzy random variables, stochastic ordering, interval ordering, possibility theory.

Abstract

In this paper we study how to make joint extensions of stochastic orderings and interval orderings so as to extend methods for comparing random variables, from the point of view of their respective location or magnitude, to fuzzy random variables. The main idea is that the way fuzzy random variables are interpreted affects the choice of the comparison methods. We distinguish three views of fuzzy random variables, according to which various comparison methods seem to make sense. This paper offers an approach toward a systematic classification of combinations of stochastic and interval or fuzzy interval comparison methods.

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  - Inés Couso
AU  - Didier Dubois
PY  - 2015/06
DA  - 2015/06
TI  - A perspective on the extension of stochastic orderings to fuzzy random variables
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  - 1486
EP  - 1492
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.211
DO  - 10.2991/ifsa-eusflat-15.2015.211
ID  - Couso2015/06
ER  -