A new non-specificity measure in evidence theory based on belief intervals

作     者：Yang Yi Han Deqian Jean Dezert 

作者机构：SKLSVMSSchool of AerospaceXi'an Jiaotong UniversityXi'an 710049China Center for Information Engineering Science ResearchXi'an Jiaotong UniversityXi'an 710049China ONERAThe Freneh Aerospace LabChemin de la HunireF-91761 PalaiseauFrance 

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

年 卷 期：2016年第29卷第3期

页      面：704-713页

核心收录：

学科分类：02[经济学] 07[理学] 08[工学] 070103[理学-概率论与数理统计] 0202[经济学-应用经济学] 020208[经济学-统计学] 0802[工学-机械工程] 0714[理学-统计学（可授理学、经济学学位）] 0825[工学-航空宇航科学与技术] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 081102[工学-检测技术与自动化装置] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the Grant for State Key Program for Basic Research of China(No.2013CB329405) National Natural Science Foundation of China(No.61573275) Foundation for Innovative Research Groups of the National Natural Science Foundation of China(No.61221063) Science and Technology Project of Shaanxi Province of China(No.2013KJXX-46) Specialized Research Fund for the Doctoral Program of Higher Education of China(20120201120036) Fundamental Research Funds for the Central Universities of China(No.xjj2014122) 

主　　题：Belief interval Evidence theoryImprecision Non-specificity Uncertainty 

摘      要：In the theory of belief functions, the measure of uncertainty is an important concept, which is used for representing some types of uncertainty incorporated in bodies of evidence such as the discord and the non-specificity. For the non-specificity part, some traditional measures use for reference the Hartley measure in classical set theory; other traditional measures use the simple and heuristic function for joint use of mass assignments and the cardinality of focal elements. In this paper, a new non-specificity measure is proposed using lengths of belief intervals, which represent the degree of imprecision. Therefore, it has more intuitive physical meaning. It can be proved that our new measure can be rewritten in a general form for the non-specificity. Our new measure is also proved to be a strict non-specificity measure with some desired properties. Numerical examples, simulations, the related analyses and proofs are provided to show the characteristics and good properties of the new non-specificity definition. An example of an application of the new non- specificity measure is also presented.