DOI QR코드

DOI QR Code

Fuzzy Test of Hypothesis by Uniformly Most Powerful Test

균일최강력검정에 의한 가설의 퍼지 검정

  • Kang, Man-Ki (Dept. of Data Information Science, Dong-eui University)
  • 강만기 (동의대학교 데이터정보학과)
  • Received : 2010.08.05
  • Accepted : 2011.01.30
  • Published : 2011.02.25

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.

본 연구는 퍼지가설 검정을 위하여 퍼지수로 주어진 데이터에 대한 데이터의 조건을 제시하였고 면적비에 의한 동의지수법을 정의한 후 균일최강력 퍼지검정법을 제안하였다. 또한 균일최강력 퍼지 검정을 위하여 유의수준에 의한 신뢰한계를 제시하였다. 예증으로서 지수분포에서 얻은 랜덤셈플을 우도비에 의한 최강력 기각역을 구하여 동의지수법을 이용한 카이제곱분포의 퍼지검정법을 제시하였다.

Keywords

References

  1. P. X. Gizegorzewski, "Testing Hypotheses with Vague Data", Fuzzy Sets and Systems. 112 , pp.501-510, 2000. https://doi.org/10.1016/S0165-0114(98)00061-X
  2. M. K. Kang and C. E. Lee, "Fuzzy Confidence Interval of Linear Regression for Slop", Far East Journal of Theoretical Statistics. 8(1), 2002.
  3. 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. https://doi.org/10.5391/JKIIS.2009.19.1.019
  4. 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. https://doi.org/10.5391/JKIIS.2009.19.6.809
  5. 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. https://doi.org/10.1016/j.fss.2007.05.017
  6. Z. Xia, "Fuzzy Probability System: fuzzy probability space(1)", Fuzzy Sets and systems, 120, pp.469-486, 2001. https://doi.org/10.1016/S0165-0114(99)00121-9