关于模糊证据理论的一个新解释

A New Interpretation of Fuzzy Evidence Theory

推广了Dempster所提出的随机集概念,并讨论了模糊信息源的不确定结构与模糊事件空间之间的关系,最后特别地用广义的上、下概率概念给出了模糊证据理论的一种新的解释,同时证明了模糊条件信任函数实际上是Dempster模糊条件规则的推广。

This paper generalizes the concept of random sets presented by Dempster, and discusses the relationship between the uncertainty structure of fuzzy information sources and fuzzy event spaces. The paper also gives a kind of interpretation for the fuzzy evidence theory by the generalized concept of upper and lower probabilities. Meanwhile, it shows that the fuzzy conditioning belief function is, in fact, a generalization of Dempster's rule of fuzzy condition.