模糊全概率公式及模糊贝叶斯公式的研究

Research on Fuzzy Full Propobility Formula and Fuzzy Bayes Formula

文章根据多维模糊空间来定义模糊条件概率的具体表达形式,得到了相关性质定理,并进行了定理的推导。由模糊条件概率公式和模糊划分的概念又得到了模糊全概率公式。最后根据模糊条件概率公式和模糊全概率公式导出了模糊贝叶斯公式的具体表达形式。

First, according to the multidimensional space, we define the specific forms of fuzzy conditional probability expression. At the same time, we get the relevant theorem and derivate the theorem. By the concept of fuzzy conditional probability formula and fuzzy partition,we get the fuzzy all probability formula. Finally, according to fuzzy conditional probability formula and fuzzy all probability formula,we derivate the specific forms of fuzzy bayesian formula expression.