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

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.