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Combining belief functions taking into consideration error in judgement
International Journal of General Systems ( IF 2.4 ) Pub Date : 2020-05-18 , DOI: 10.1080/03081079.2020.1759583
Sunay P. Pai 1 , Rajesh S. Prabhu Gaonkar 2
Affiliation  

ABSTRACT Dempster–Shafer (D–S) evidence theory is very efficient and widely used mathematical tool for uncertain and imprecise information fusion for decision making. D–S rule is criticised by many researchers as it gives illogical and counterintuitive results especially when the series of evidence provided by various experts are in a high degree of conflict. Various attempts have been made and several alternatives proposed to this rule. In this paper, a new alternative is proposed which considers the possibility of an error made by experts while providing evidence, calculates the error and incorporates in the revised masses. The validity and efficiency of the proposed approach have been demonstrated with numerous examples and the results are compared with already existing methods. Highlights An alternative method is proposed to handle the conflicting evidence. An Error In Judgement while gathering evidence is considered and incorporated before combining evidence. The method is simple and gives better and reasonable results than other previous methods when evidence conflicts

中文翻译:

考虑判断误差的信念函数组合

摘要 Dempster-Shafer (D-S) 证据理论是一种非常有效且广泛使用的数学工具,用于决策的不确定和不精确信息融合。D-S 规则受到许多研究人员的批评,因为它给出了不合逻辑和违反直觉的结果,尤其是当各个专家提供的一系列证据存在高度冲突时。已经进行了各种尝试,并且对该规则提出了几种替代方案。本文提出了一种新的替代方案,即在提供证据的同时考虑专家出现错误的可能性,计算错误并纳入修订后的群众中。所提出方法的有效性和效率已通过大量示例得到证明,并将结果与​​现有方法进行了比较。亮点 提出了一种替代方法来处理相互矛盾的证据。在合并证据之前考虑并合并收集证据时的判断错误。该方法简单,当证据冲突时,比以前的其他方法给出更好、更合理的结果
更新日期:2020-05-18
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