Abstract
Conflict management is a hot research topic in Dempster–Shafer theory which is used to avoid the counterintuition problem of combination results. In the present conflict management methods, conflicting evidence is assigned to smaller weight to reduce its influence on the combination result. However, these methods will be disabled when similarity collision occurs. In this article, a new conflict management method based on similarity and Basic Probability Assignment-Matrix is proposed; in the proposed method, similarity collision is diminished by computing the index of each element in evidence, and then, a more reasonable evidence weight can be determined in this way. In the end, two experiments are set to compare the results of several different methods, and the results illustrate that the conflicting evidence will be assigned to a smaller weight in our method than in others.
Highlights
Dempster–Shafer (D-S) theory[1] is an effective tool to make a decision from several answers with ambiguity
Similarity calculation is a key process in conflict management, but collision of similarity may occur in both the methods proposed by Jousselme et al and Wen et al A brief example is given
According to Example 2 in section ‘‘Preliminaries,’’ conflict management only based on similarity is not sufficient, and BPA-Matrix is introduced to diminish the collision of similarity
Summary
Dempster–Shafer (D-S) theory[1] is an effective tool to make a decision from several answers with ambiguity. Jousselme et al.[20] proposed an evidence distance calculation method based on the difference of BOEs and the number of elements in BPA. Similarity calculation is a key process in conflict management, but collision of similarity may occur in both the methods proposed by Jousselme et al and Wen et al A brief example is given . Based on the previous steps, difference of each BPA sequence is represented as a numerical value F, and the following operation is similarity calculation which is shown in section ‘‘Evidence credit calculation based on similarity.’’. According to Example 2 in section ‘‘Preliminaries,’’ conflict management only based on similarity is not sufficient, and BPA-Matrix is introduced to diminish the collision of similarity. Equation (14) can be expressed as equation (15) using primary similarity and BPA-Matrix
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