Bayesian Fuzzy Hypothesis Testing with Imprecise Prior Distribution

Citation data:

Journal of the Iranian Statistical Society, ISSN: 1726-4057, Vol: 15, Issue: 2, Page: 105-120

Publication Year:
2016
Captures 2
Readers 2
DOI:
10.18869/acadpub.jirss.15.2.105
Author(s):
Hesamian, Gholamreza
Publisher(s):
CASRP: Center of Advanced Scientific Research and Publications
Tags:
Mathematics
article description
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.