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Dempster-Shafer(D-S)证据理论在组合冲突信息时,会得出与直觉相反的结论,为此研究人员提出很多改进方法,但是如何度量证据之间的冲突程度却常常被人们忽视.在分析现有冲突系数的基础上,在推广幂集空间框架下提出了一个冲突距离系数,用来刻画证据之间的冲突程度.进一步提出了合理的冲突度量参数应满足的判定准则,通过两种典型的悖论情况,分析了经典冲突系数和二元组冲突表示方法的不足,说明所提出的冲突系数不但满足判定准则,而且在判断冲突使用Dempster组合规则方面可以达到二元组表示方法的同等效果,甚至在判断冲突使用Dezert-Smarandache theory(DSmT)方面可以超过二元组表示方法的效果.
Evidence theory of Dempster-Shafer (DS) draws counter-intuitive conclusions when combining conflicting information, and many researchers have proposed many improvements, but how to measure the degree of conflict between the evidences is often overlooked. Based on the conflict coefficient, a conflict distance coefficient is proposed in the framework of the extension of power set, which can be used to characterize the degree of conflict between evidences.Furthermore, the criteria for judging the reasonable conflict metric parameters are proposed, Paradox, this paper analyzes the shortcomings of classical conflict coefficients and binary conflict representation methods. It shows that the proposed conflict coefficient not only satisfies the criterion, but also achieves the same effect of the binary representation in judging the Dempster combination rules, The effect of the two-tuple representation can be exceeded even in determining the conflict using Dezert-Smarandache theory (DSmT).