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DOI number:10.1016/j.fss.2023.108719

Journal:Fuzzy Sets and Systems（中科院一区，校定核心期刊）

Key Words:dissimilarity measure; conflict belief; evidential distance;basic probability assignment;data fusion,Pignistic probability function

Abstract:Dissimilarity measure between basic probability assignments (BPAs) in the Dempster-Shafer evidence structure is a vibrant research topic in artificial intelligence. However, there are flaws in the existing measurements. In particular, it is insufficient to characterize dissimilarity only from either evidential distance or conflict belief for a BPA. As such, we propose a new dissimilarity measure which takes into consideration both distance measure and conflict belief among betting commitments. These two factors complement with each other. Distance measure reflects diversity between the focal elements of two pieces of evidence. That is to say, the more intersections between the bodies of evidence (BOE) of two data sources, the more reliable it acts as a dissimilarity measure. Conversely, the conflict belief which is created based on the transformed Pignistic probability characterizes the product of singleton’s belief from two pieces of evidence whose intersection is empty. It quantifies dissimilarity measure more efficiently when the focal elements of two pieces of evidence have small intersect. Theoretically, the new dissimilarity measure satisfies reflexivity, symmetry, nonnegativity, nondegeneracy and some other properties. Comparative analysis is provided with some cases to demonstrate the applicability and validity of the proposed dissimilarity measure. To determine the weight and reliability of evidence, the new dissimilarity measure among evidence and uncertainty of BPA are used. The dissimilarity metric is further applied for multi-source data fusion together with uncertainty measure of belief structure. The application of large-scale group decision making (LSGDM) problem is given to illustrate the effectiveness of the proposed multi-source data fusion process.

Co-author:Ya-Jing Zhou,Jian-Bo Yang,Jian Wu

First Author:Mi Zhou（通讯作者）

Indexed by:Journal paper

Discipline:Management Science

Document Type:J

Issue:475

Page Number:108719

Translation or Not:no

Date of Publication:2024-01-15

Included Journals:SCI

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