Geodesic
Fuzzy Bayesian inferences
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 8-12

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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. 
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V. G. Bardakhchyan. Fuzzy Bayesian inferences. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 8-12. http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a1/