De-combination of belief function based on optimization

作     者：Xiaojing FAN Deqiang HAN Yi YANG Jean DEZERT Xiaojing FAN;Deqiang HAN;Yi YANG;Jean DEZERT

作者机构：School of Automation Science and EngineeringXi’an Jiaotong UniversityXi’an 710049China SKLSVMSSchool of AerospaceXi’an Jiaotong UniversityXi’an 710049China ONERAThe French Aerospace LabPalaiseau 91761France 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2022年第35卷第5期

页      面：179-193页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 081104[工学-模式识别与智能系统] 08[工学] 0835[工学-软件工程] 0825[工学-航空宇航科学与技术] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(No.61671370) Project supported by joint foundation of X Lab–the 2~(nd)Academy of CASIC the Postdoctoral Science Foundation of China(No.2016M592790) the Postdoctoral Science Research Foundation of Shaanxi Province,China(No.2016BSHEDZZ46) 

主　　题：Belief functions De-combination Divergence maximization Information fusion Information maximization 

摘      要：In the theory of belief functions,the evidence combination is a kind of decision-level information *** two or more Basic Belief Assignments(BBAs)originated from different information sources,the combination rule is used to combine them to expect a better decision *** only a combined BBA is given and original BBAs are discarded,if one wants to analyze the difference between the information sources,evidence de-combination is needed to determine the original *** de-combination can be considered as the inverse process of the information *** paper focuses on such a defusion of information in the theory of belief *** is an under-determined problem if only the combined BBA is *** this paper,two optimization-based approaches are proposed to de-combine a given BBA according to the criteria of divergence maximization and information maximization,*** new proposed approaches can be used for two or more information *** numerical examples and an example of application are provided to illustrate and validate our approaches.