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.

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Main Subjects