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1 Universidad de Oviedo Oviedo 2 IRIT - Institut de recherche en informatique de Toulouse

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.

Keywords : Fuzzy random variables Stochastic ordering Interval ordering Possibility theory





Author: Inès Couso - Didier Dubois -

Source: https://hal.archives-ouvertes.fr/



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