Abstract
To measure conflict between two basic probability assignment functions plays the key role of conflict management in Dempster-shafer evidence theory. In this paper, a new conflict measure is proposed. First, the classical pignistic probability transform (PPT) is generalized as pignistic belief transform (PBT). One of the advantages of PBT is that it can assign belief to multiple sets. When the belief is assigned to single element, the proposed PBT is degenerated as classical PPT. Then, the betting distance of two pignistic belief transforms is proposed, which can be used as a new conflict degree of BPAs. Finally, a numerical example is illustrated to show the use of the proposed method to combine conflicting evidence.
Highlights
In order to enhance the efficiency of decision system, multi-sensor data fusion is widely used [1]–[5]
There are many methods to deal with information fusion under uncertain environment, such as fuzzy sets [6], rough sets [7], D numbers [8], [9], Dempster-Shafer evidence theory [10], [11] and so on [12]
Many new methods to deal with uncertain information based on fuzzy sets are proposed [13]–[18]
Summary
In order to enhance the efficiency of decision system, multi-sensor data fusion is widely used [1]–[5]. There are many methods to deal with information fusion under uncertain environment, such as fuzzy sets [6], rough sets [7], D numbers [8], [9], Dempster-Shafer evidence theory [10], [11] and so on [12]. Based on the presented PBT, a new conflict measure of BPA is proposed. Q. Cai et al.: PBT: New Method of Conflict Measurement examples are given to show its efficiency and rationality.
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