Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Hypotheses testing of Bayes' theorem for fuzzy prior parameters

퍼지 사전 모수에 관한 베이지안 가설검정

  • Kang Man-Ki (Dept. Information Statistics, Dongeui University) ;
  • Chio Gue-Tak (Kyungnam College of Information Technology)
  • Published : 2005.11.01
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Abstract

We have fuzzy hypotheses testing from Bayesian statistics with ideas from fuzzy sets theory to generalize Bayesian methods both for samples of fuzzy data and for prior distributions with non-precise parameters. Appling the principle of agreement index, the posterior odds ratio in the favor of hypotheses $H_0$ is equal to product of the fuzzy odds ratio and the fuzzy likelihood ratio. If the Posterior odds ratio exceeds the grade judgement, we accept the hypothesis $H_0$ for the degree.

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