A new approach for testing fuzzy hypotheses based on p-value

Arefi, Mohsen

doi:10.22055/jamm.2018.19044.1322

A new approach for testing fuzzy hypotheses based on p-value

Document Type : Original Paper

Author

Mohsen Arefi

Department of Statistics, Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran

10.22055/jamm.2018.19044.1322

Abstract

In this paper, a new approach is presented for testing fuzzy hypotheses based on p-value method. In this method, we first formulate the hypotheses of interest by fuzzy sets, and then, the p-value is defined to integrate under the -cuts of null fuzzy hypothesis. To compare the proposed p-value with the test significance level, we decide to accept or reject the null fuzzy hypothesis. Finally, the proposed method is employed by some numerical examples.

Keywords

Testing statistical hypothesis

Test statistic

Fuzzy hypothesis

p-value

Subjects