Journal of Uncertainty Analysis and Applications, Volume (4), No (2), Year (2016-1) , Pages (1-16)
Title : ( A Simple but Efficient Approach for Testing Fuzzy Hypotheses )
Authors: Abbas Parchami , S. Mahmoud Taheri , Bahram Sadeghpour Gildeh , Mashaallah Mashinchi ,
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Abstract
In this paper, a new method is proposed for testing fuzzy hypotheses based on the following two generalized p-values: (1) the generalized p-value of null fuzzy hypothesis against alternative fuzzy hypothesis and (2) the generalized p-value of alternative fuzzy hypothesis against null fuzzy hypothesis. In the proposed method, each generalized p-value is formulated on the basis of Zadeh’s probability measure of fuzzy events. The introduced p-value method has several advantages over the common p-value methods for testing fuzzy hypotheses. A few illustrative examples and also an agricultural example, based on a real-world data set, are given to clarify the proposed method.
