Axiomatic investigation of fuzzy probabilities

Takehiko Nakama

Enric Trillas

Itziar García-Honrado

pp. 125-140

in: Rudolf Seising, Veronica Sanz González (eds), Soft computing in humanities and social sciences, Berlin, Springer, 2012

Abstract

Various forms of probability and probabilistic concepts have been discussed in fuzzy logic since its very inception, but their mathematical foundations have yet to be fully established. In this paper, we investigate theoretical issues concerning probability functions as membership functions, probability measures for fuzzy sets, and fuzzy-valued probabilities.