Bayesian Fuzzy Hypothesis Testing with Imprecise Prior Distribution
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Journal of the Iranian Statistical Society, ISSN: 1726-4057, Vol: 15, Issue: 2, Page: 105-120
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This paper considers the classical (normal) Bayesian method for testing fuzzy hypotheses. For this purpose, using a notion of prior distribution with interval-valued or fuzzy-valued parameters, a concept of posterior probability of a fuzzy hypothesis is proposed and its main properties are also verified. The feasibility and effectiveness of the proposed methods are also clarified by some numerical examples.