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

作　　者：Yang Yi Han Deqian Jean Dezert 

机构地区：[1]SKLSVMS,School of Aerospace,Xi'an Jiaotong University,Xi'an 710049,China [2]Center for Information Engineering Science Research,Xi'an Jiaotong University,Xi'an 710049,China [3]ONERA,The Freneh Aerospace Lab,Chemin de la Hunire,F-91761 Palaiseau,France

出　　处：《Chinese Journal of Aeronautics》2016年第3期704-713,共10页中国航空学报（英文版）

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)

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.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.

关 键 词：Belief interval Evidence theoryImprecision Non-specificity Uncertainty 

分 类 号：TP202[自动化与计算机技术—检测技术与自动化装置] O212.1[自动化与计算机技术—控制科学与工程]