Possibility Measure of Accepting Statistical Hypothesis

Jung-Lin Hung, Cheng-Che Chen and Chun-Mei Lai
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Jung-Lin Hung: Physical Education Office, Kun Shan University, Tainan 710303, Taiwan
Cheng-Che Chen: Department of Marketing and Logistics Management, Far East University, Tainan 74448, Taiwan
Chun-Mei Lai: Department of Marketing and Logistics Management, Far East University, Tainan 74448, Taiwan

Mathematics, 2020, vol. 8, issue 4, 1-16

Abstract: Taking advantage of the possibility of fuzzy test statistic falling in the rejection region, a statistical hypothesis testing approach for fuzzy data is proposed in this study. In contrast to classical statistical testing, which yields a binary decision to reject or to accept a null hypothesis, the proposed approach is to determine the possibility of accepting a null hypothesis (or alternative hypothesis). When data are crisp, the proposed approach reduces to the classical hypothesis testing approach.

Keywords: fuzzy testing; hypothesis testing; fuzzy sets; fuzzy numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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