基于未知扰动的冲突证据合成方法

An Approach to Combination of Conflicting Evidences by Disturbance of Ignorance

自从发现Dempster合成可能导致悖论以来,冲突证据合成一直是Dempster-Shafer理论的重要研究方向之一,迄今尚未有统一的解决方法被广泛接受.提出一种新的冲突证据合成方法,即在Dempster合成之前,基于未知扰动对mass函数进行预处理,并通过预处理来解决标准化问题.与其他相关方法相比,这种新方法不仅和Dempster规则形式上一致,合成过程比较灵活,并且可以通过扩展的Bayes公式得到理论上的解释.

The combination of conflicting evidences has been one of the important issues in Dempster-Shafer theory since the example of Zadeh paradox produced by Dempsters rule of combination was found. There is no solution accepted universally as yet. In this paper, an approach to handling this problem is proposed. Before adopting the Dempsters rule to combine belief functions, the assignments of mass functions are pretreated by the disturbance of ignorance. The pretreatment is in favor of the normalization of combination. Compared with other alternatives, the new approach is consistent with Dempsters rule in the form and flexible to combination, especially, it can be theoretically explained by the generalized Bayesian formula.