摘要
本文对原假设和备择假设中参数是模糊子集的假设检验问题，引入了模糊Ｂａｙｅｓ检验的概念，对简单模糊假设，给出了求模糊Ｂａｙｅｓ检验的方法，讨论了它的性质，并针对一类特殊的隶属函数，得出了检验的具体公式。最后，通过几个数值实例，表明了模糊Ｂａｙｅｓ检验的优良性。
This paper introduced a new concept, fuzzy Bayes test, for testing hypothesis underwhich the parameter is a fuzzy subset of the parameter space. We gave the way to obtainthe fuzzy Bayes test for simple fuzzy hypotheses and discussed its property. The formu-lation of the fuzzy Bayes test of hypothesis testing, where the membership function rep-resenting the fuzzy parameter has the special form and the data is normally distributed,was addressed. Several numerical examples were illustrated to exhibit the goodness ofthe fuzzy Bayes test.
出处
《模糊系统与数学》
CSCD
1995年第3期80-88,共9页
Fuzzy Systems and Mathematics
关键词
模糊假设
模糊集
模糊贝叶斯检验
假设检验
fuzzy hypothesis
fuzzy risk function
fuzzy Bayes test
cardinality of afuzzy set
ranking index of a fuzzy set
