한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제19권6호
  • /
  • Pages.809-813
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  • 2009
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  • 1976-9172(pISSN)
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  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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최강력 검정을 위한 퍼지 포아송 가설의 검정

Fuzzy Hypothesis Test by Poisson Test for Most Powerful Test

  • Kang, Man-Ki (Dept. of Data Information Science, Dong-Eui University) ;
  • Seo, Hyun-A (Dept. of Information Statistics, Graduate School, Dong-Eui University)
  • 투고 : 2009.09.10
  • 심사 : 2009.11.30
  • 발행 : 2009.12.25
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초록

We want to show that the construct of best fuzzy tests for certain fuzzy situations of Poisson distribution. Due to Neyman and Pearson theorem, if we have ${\theta}_0$ and ${\theta}_1$ be distinct fuzzy values of ${\Omega}=\{{\theta}\;:\;{\theta}\;=\;{\theta}_0,\;{\theta}_1\}$ such that $L({\theta}_0\;:\;X)/L({\theta}_1\;:\;X)$ < k, then k is a fuzzy number. For each fuzzy random samples point $X\;{\subset}\;C$, we have most power test for fuzzy critical region C by agreement index.

키워드

참고문헌

  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, G. T. Choi and C. E. Lee, On Statistical Test for Fuzzy Hypotheses with Fuzzy Data, Proceeding of Korea Fuzzy Logic and Intelligent System Society Fall Conference, Vol. 10, Num. 2, 2000
  3. M. K. Kang, G. T. Choi and S. I .Han, A Bayesian Fuzzy Hypotheses testing with Loss Function, Proceeding of Korea Fuzzy Logic and Intelligent Systems Society Fall Conference, Vol 13, Num. 2, 2002
  4. M. K. Kang, C. E. Lee and S. I. Han, Fuzzy Hypotheses Testing for Hybrid Numbers by Agreement Index, Far East Journal of Theoretical Statistics, 10(1), 2003
  5. M. K. Kang, Y. R. Park, Fuzzy Binomial Proportion Test by Agreement Index, Journal of Korean Institute of Intelligent Systems, Vol 19, Num. 1, 2009
  6. 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
  7. 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

피인용 문헌

  1. Correlation Test by Reduced-Spread of Fuzzy Variance vol.19, pp.1, 2012, https://doi.org/10.5351/CKSS.2012.19.1.147
  2. The Wilcoxon Signed-Rank Fuzzy Test on Rate of Internal Division vol.24, pp.6, 2014, https://doi.org/10.5391/JKIIS.2014.24.6.592