A Generalized Version of Neyman-Pearson Lemma for Testing Fuzzy Hypotheses Based on r-Level Sets
In testing statistical hypotheses, as in other statistical problems, we may be confronted with fuzzy concepts. In this article, we first redefine some concepts in testing of fuzzy hypotheses and then introduce a generalized version of Neyman-Pearson lemma for testing fuzzy hypotheses using r-levels. Finally, two numerical examples are presented to demonstrate the proposed approach.