Browse > Article
http://dx.doi.org/10.5391/JKIIS.2011.21.1.25

Fuzzy Test of Hypothesis by Uniformly Most Powerful Test  

Kang, Man-Ki (Dept. of Data Information Science, Dong-eui University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.21, no.1, 2011 , pp. 25-28 More about this Journal
Abstract
In this paper, we study some properties of condition for fuzzy data, agrement index by ratio of area and the uniformly most powerful fuzzy test of hypothesis. Also, we suggest a confidence bound for uniformly most powerful fuzzy test. For illustration, we take the most powerful critical fuzzy region from exponential distribution by likelihood ratio and test the hypothesis of ${\chi}^2$-distribution by agreement index.
Keywords
agreement index; fuzzy critical region; uniformly most powerful test; confidence bound; likelihood function;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 M. K. Kang, Y. R. Park, 'Fuzzy Binomial Proportion Test by Agreement Index", Journal of Korean Institute of Intelligent Systems, Vol 19, Num. 1,pp.19-24, 2009.   과학기술학회마을   DOI
2 M. K. Kang, A. H. Seo, "Fuzzy Hypothesis Test by Poisson Test for Most powerful Test", Journal of Korean Institute of Intelligent Systems, Vol 19, Num. 6, pp.809-813, 2009.   과학기술학회마을   DOI
3 W. Trutschnig, "A Strong Consistency Result for Fuzzy Relative Frequencies Interpreted as Estimator for the Fuzzy-Value Probability", Fuzzy Sets and Systems, 159, pp 259-269, 2008.   DOI
4 Z. Xia, "Fuzzy Probability System: fuzzy probability space(1)", Fuzzy Sets and systems, 120, pp.469-486, 2001.   DOI
5 P. X. Gizegorzewski, "Testing Hypotheses with Vague Data", Fuzzy Sets and Systems. 112 , pp.501-510, 2000.   DOI
6 M. K. Kang and C. E. Lee, "Fuzzy Confidence Interval of Linear Regression for Slop", Far East Journal of Theoretical Statistics. 8(1), 2002.