Author

• Gholamreza Hesamian

Department of Statistics, Payame Noor University, Tehran 19395-3697, Iran

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.

Keywords

• Fuzzy hypothesis
• Bayes test
• interval parameter
• Fuzzy parameter
• Posterior probability