Mathematical Fundamentals of Constructing Fuzzy Bayesian Inference Techniques

Problems and an associated technique for developing a Bayesian approach to decision-making in the case of fuzzy data are presented. The concept of fuzzy and pseudofuzzy quantities is introduced and main operations with pseudofuzzy quantities are considered. The basic relationships and the principal concepts of the Bayesian decision procedure based on the modus-ponens rule are proposed. Some problems concerned with the practical realization of the fuzzy Bayesian method are considered.