Bayesian Fuzzy Hypothesis Testing with Imprecise Prior Distribution

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Abstract:

This paper considers the testing of fuzzy hypotheses on the basis of a Bayesian approach. For this, using a notion of prior distribution with interval or fuzzy-valued parameters, we extend a concept of posterior probability of a fuzzy hypothesis. Some of its properties are also put into investigation. The feasibility and effectiveness of the proposed methods are also clarified by some numerical examples.

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Journal title

volume 15  issue None

pages  105- 119

publication date 2016-08

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