New probabilistic transformation of imprecise belief structure  

作　　者：Lifang Hu You He Xin Guan Deqiang Han Yong Deng 

机构地区：[1]Research Institute of Information Fusion, Naval Aeronautical and Astronautical University, Yantai 264001, E R. China [2]Navy Armament Academy, Beijing 102249, E R. China [3]College of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, E R. China [4]Institute of Integrated Automation, Xi＇an Jiaotong University, Xi＇an 710049, E R. China [5]School of Electronics and Information Technology, Shanghai Jiaotong University, Shanghai 200240, E R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第5期721-729,共9页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China (60572161; 60874105);the Excellent Ph.D. Paper Author Foundation of China (200443);the Postdoctoral Science Foundation of China (20070421094);the Program for New Century Excellent Talents in University (NCET-08-0345);the Shanghai Rising-Star Program(09QA1402900);the "Chenxing" Scholarship Youth Found of Shanghai Jiaotong University (T241460612);the Ministry of Education Key Laboratory of Intelligent Computing & Signal Processing (2009ICIP03)

摘　　要：The case when the source of information provides precise belief function/mass, within the generalized power space, has been studied by many people. However, in many decision situations, the precise belief structure is not always available. In this case, an interval-valued belief degree rather than a precise one may be provided. So, the probabilistic transformation of imprecise belief function/mass in the generalized power space including Dezert-Smarandache （DSm） model from scalar transformation to sub-unitary interval transformation and, more generally, to any set of sub-unitary interval transformation is provided. Different from the existing probabilistic transformation algorithms that redistribute an ignorance mass to the singletons involved in that ignorance pro- portionally with respect to the precise belief function or probability function of singleton, the new algorithm provides an optimization idea to transform any type of imprecise belief assignment which may be represented by the union of several sub-unitary （half-） open intervals, （half-） closed intervals and/or sets of points belonging to [0,1]. Numerical examples are provided to illustrate the detailed implementation process of the new probabilistic transformation approach as well as its validity and wide applicability.The case when the source of information provides precise belief function/mass, within the generalized power space, has been studied by many people. However, in many decision situations, the precise belief structure is not always available. In this case, an interval-valued belief degree rather than a precise one may be provided. So, the probabilistic transformation of imprecise belief function/mass in the generalized power space including Dezert-Smarandache （DSm） model from scalar transformation to sub-unitary interval transformation and, more generally, to any set of sub-unitary interval transformation is provided. Different from the existing probabilistic transformation algorithms that redistribute an ignorance mass to the singletons involved in that ignorance pro- portionally with respect to the precise belief function or probability function of singleton, the new algorithm provides an optimization idea to transform any type of imprecise belief assignment which may be represented by the union of several sub-unitary （half-） open intervals, （half-） closed intervals and/or sets of points belonging to [0,1]. Numerical examples are provided to illustrate the detailed implementation process of the new probabilistic transformation approach as well as its validity and wide applicability.

关 键 词：pignistic probability transformation generalized power space interval value information fusion uncertainty. 

分 类 号：O159[理学—数学] TU998.12[理学—基础数学]