Mathematics

Fuzzy Bayesian inferences

V. G. Bardakhchyan

Chair of Actuarial Mathematics and Risk Management YSU, Armenia

Abstract: We consider generalization of Bayesian theorem for the cases with fuzzy observations. It will be considered one of the forms of fuzzy Bayesian theorem introduced by Viertl. One can observe that it cannot be used as a generalization of ordinary Bayesian theorem with the form of likelihood function. We introduce other types of likelihood function satisfying some definite conditions.

Keywords: fuzzy statistics, Bayesian theorem, fuzzy random variables.

MSC: Primary 28E10; Secondary 60A86, 62F15

Received: 19.10.2016
Accepted: 15.03.2017

Language: English