信任函数的逼近可使得不确定性推理理论得以实际应用,该文讨论了D-S证据理论中信任函数逼近的几种方法,分析了它们各自的优缺点,并通过对概括逼近、双逼近和内外聚类逼近的研究,提出了两种新的逼近方法,既满足最佳逼近基本条件要求又考虑了精度要求和计算时间.
The approximation of Belief function will make various theories about imprecise probabilities into practice. This article comes up with several kinds of approxiations of Belief function in the D-S theory and discusses the advantage and disadvantage about these approximations. Researching for Summarization, Pair approximation and Inner and Outer clustering approximation, two new approximations are proposed. The two methods satisfied the basic condition of optimal approximation and consider the require of accuracy and time cost.