决策距离修正下的弱决策证据合成方法

针对含弱决策的证据融合在低冲突情况下仍出现反直观结果的问题,提出一种决策距离修正下的证据合成方法.首先,给出弱决策证据定义,提出一种名为决策距离的新度量方法,可表述单证据的决策,通过融合Jousselme距离可更有效地描述弱决策证据与其他证据间的差异;然后,根据检测弱决策证据和一票否决证据是否同时存在,提供两种不同的修正系数,可有效扩大多数证据与其他证据修正系数的差距,削弱一票否决证据的影响;最后,对证据源修正并合成.实验结果表明,该合成方法能较好地解决弱决策证据融合问题,融合结果收敛快,决策更可靠,不确定性小,是对现有研究的良好补充.

Combination method of weak decision-making evidence based on decision distance correction

The existence of the evidence of weak decision making in combination of evidence may lead to counter-intuitive results even under the condition of low conflict. To solve this problem, this paper proposes an evidence combination method based on decision distance correction. Firstly, the definition of weak decision-making evidence is proposed. A new measure called decision distance is proposed, which can describe the decision of one evidence and the difference between weak decision-making evidence and other evidences more effectively by using Jousselme distance. Then, two different discounting factors are provided by identifying whether weak decision-making evidence and "one ticket veto" evidence exist at the same time or not, which can effectively expand the difference of discounting factors of the majority of evidence and those of other evidences, so that the effect of "one ticket veto" evidence is weaken. Finally. Dempster fusion rule is used to combine the revised evidence. Multiple experiments show that, the proposed evidence combination method can well solve the problem of weak decision evidence fusion, and the fusion result has rapid convergence rate and can make more reliable decisions with low uncertainty, which is a good complement to existing research.