一种用于信任管理的新主观逻辑

A Novel Subjective Logic for Trust Management

提出了一种新主观逻辑.原主观逻辑是进行不确定性推理的一个理论框架,它建立在D-S证据理论的框架之上,是标准逻辑和概率演算的扩展,由于其在信任管理中的成功应用而被广泛关注.但是它要求鉴别框架元素必须是互斥的.提出的新主观逻辑是在Dezert-Smarandache理论的框架上对原主观逻辑的一个扩展,解决了这个强约束,能够同时处理不确定和矛盾的信息.另外,推导了3个逻辑算子,并且证明是原主观逻辑的逻辑算子的扩展.定义了两个证据算子,并指出原主观逻辑的合意算子的缺点.最后,通过实验说明其计算复杂度是可以接受的.

A novel subjective logic based on the Dezert-Smarandache theory is proposed. The original subjective logic based on the Dempster-Shafer theory of evidence is an extension of the standard logic and probability calculus. The subjective logic is a framework of uncertain reasoning,and it is widely studied because of its successful application to trust management. But the elementary elements of the frame of discernment are assumed to be exclusive,which is a strong constraint. The new subjective logic based on the framework of the Dezert-Smarandache theory,which is able to handle both uncertain and paradoxical information,is an extension of the subjective logic by overcoming this strong constraint. In addition,the logical operators of the new subjective logic are inferred and proved to be the extension of the logical operators of the subjective logic. Two evidential operators including discounting operator and consensus operator are defined for trust recommendation and accumulation. The discounting operator of the new subjective logic is more flexible. The shortcomings of the consensus operator of the original subjective logic are presented. A consensus operator of the new subjective logic is proposed which can overcome these shortcomings. Finally,the experiment shows that the computational complexity of the novel subjective logic is acceptable.