广义证据理论的解释

本文把Ｄｅｍｐｓｔｅｒ使用的随机集合概念推广到了布尔代数上，并用这个推广了的概念讨论了信息源上的不确定性结构与假设空间上的不确定性结构之间的关系。

THE INTERPRETATION OF GENERALIZED EVIDENCE THEORY

This paper generalizes the concept of random sets, which were used by Dempster, to Boolean algebra, and discusses the relationship between the uncertainty structure of information sources and the uncertainty structure of hypothesis spaces. Generalizing the concepts of upper and lower probabilities, the paper gives a kind of interpretation for the generalization of evidence theory which was defined by Guan and Bell, and proves that the conditioning belief functions defined by Guan and Bell is,in fact, a generalization of Dempster's rule of condition. The interpretation method, on the one hand, further develops the generalization of evidence theory, and on the other hand,supplies a feasible application environment for the generalization of evidence theory.