Possibility Measure of Accepting Statistical Hypothesis

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...

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Main Authors:	J. L. Hung, C. C. Chen, C. M. Lai
Format:	Article
Language:	English
Published:	MDPI AG 2020-04-01
Series:	Mathematics
Subjects:	fuzzy testing hypothesis testing fuzzy sets fuzzy numbers
Online Access:	https://www.mdpi.com/2227-7390/8/4/551

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spelling	doaj-a4907e95412a46f4895009cf92c6a4a52020-11-25T02:37:27ZengMDPI AGMathematics2227-73902020-04-01855155110.3390/math8040551Possibility Measure of Accepting Statistical HypothesisJ. L. Hung0C. C. Chen1C. M. Lai2Department of Leisure and Sports Management, Far East University, Tainan 74448, TaiwanDepartment of Marketing and Logistics Management, Far East University, Tainan 74448, TaiwanDepartment of Marketing and Logistics Management, Far East University, Tainan 74448, TaiwanTaking 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.https://www.mdpi.com/2227-7390/8/4/551fuzzy testinghypothesis testingfuzzy setsfuzzy numbers
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	J. L. Hung C. C. Chen C. M. Lai
spellingShingle	J. L. Hung C. C. Chen C. M. Lai Possibility Measure of Accepting Statistical Hypothesis Mathematics fuzzy testing hypothesis testing fuzzy sets fuzzy numbers
author_facet	J. L. Hung C. C. Chen C. M. Lai
author_sort	J. L. Hung
title	Possibility Measure of Accepting Statistical Hypothesis
title_short	Possibility Measure of Accepting Statistical Hypothesis
title_full	Possibility Measure of Accepting Statistical Hypothesis
title_fullStr	Possibility Measure of Accepting Statistical Hypothesis
title_full_unstemmed	Possibility Measure of Accepting Statistical Hypothesis
title_sort	possibility measure of accepting statistical hypothesis
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-04-01
description	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.
topic	fuzzy testing hypothesis testing fuzzy sets fuzzy numbers
url	https://www.mdpi.com/2227-7390/8/4/551
work_keys_str_mv	AT jlhung possibilitymeasureofacceptingstatisticalhypothesis AT ccchen possibilitymeasureofacceptingstatisticalhypothesis AT cmlai possibilitymeasureofacceptingstatisticalhypothesis
_version_	1724795620434116608

Possibility Measure of Accepting Statistical Hypothesis

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