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Axiomatic investigation of fuzzy probabilities

Takehiko NakamaEnric Trillas Itziar García-Honrado

pp. 125-140

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.

Publication details

Published in:

Seising Rudolf, Sanz González Veronica (2012) Soft computing in humanities and social sciences. Dordrecht, Springer.

Pages: 125-140

DOI: 10.1007/978-3-642-24672-2_6

Full citation:

Nakama Takehiko, Trillas Enric, García-Honrado Itziar (2012) „Axiomatic investigation of fuzzy probabilities“, In: R. Seising & V. Sanz González (eds.), Soft computing in humanities and social sciences, Dordrecht, Springer, 125–140.