Bayesian Fuzzy Hypothesis Testing with Imprecise Prior Distribution

Gholamreza Hesamian
2016 Journal of the Iranian Statistical Society  
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.
doi:10.18869/acadpub.jirss.15.2.105 fatcat:t336dbrkqnaoxbc5axv43wqpga