科研之友
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摘要
The belief function theory can effectively model the belief induced by uncertain evidence. Within its framework, when new pieces of evidence are available, belief is revised by Dempster rule of combination. Since the Dempster rule cannot determine the weight of focusing downwards and would lead to a counterintuitive result for combining high conflicting beliefs, its applicability is restricted. A large number of alternative rules have been proposed to solve these problems. We suggest some properties that a good rule should possess, and then a new rule is presented in this paper. This rule can determine the weight of focusing downwards according to focal elements' cardinalities, and redistribute incompatible belief mass proportionally to the subsets involved in the combination. The properties of our rule are clarified and compared with those of some other rules through several numerical examples, which shows its superiority.
- 出版日期2009-10
- 单位中国人民解放军国防科学技术大学
