DETERMINGING BPA UNDER UNCERTAINTY ENVIRONMENTS AND ITS APPLICATION IN DATA FUSION  

作　　者：Deng Yong Jiang Wen Xu Xiaobin Li Qi Wang Dong 

机构地区：[1]School of Electronics and Information Technology, Shanghai Jiaotong University, Shanghai 200240, China [2]School of Electronics and Information, Northwestern Polytechnical University, Xi＇an 710072, China [3]School o.f Automation, Hangzhou Dianzi University, Hangzhou 310018, China

出　　处：《Journal of Electronics(China)》2009年第1期13-17,共5页电子科学学刊（英文版）

基　　金：Supported by National High Technology Project (863)(No. 2006AA02Z320);the National Natural Science Founda-tion of China (No.30700154, No.60874105);Zhejiang Natural Science Foundation (No.Y107458, RY1080422);the School Youth Found of Shanghai Jiaotong University

摘　　要：Dempster-Shafer (DS) theory of evidence has been widely used in many data fusion ap- plication systems. However, how to determine basic probability assignment, which is the main and the first step in evidence theory, is still an open issue. In this paper, a new method to obtain Basic Probability Assignment (BPA) is proposed based on the similarity measure between generalized fuzzy numbers. In the proposed method, species model can be constructed by determination of the min, average and max value to construct a fuzzy number. Then, a new Radius Of Gravity (ROG) method to determine the similarity measure between generalized fuzzy numbers is used to calculate the BPA functions of each instance. Finally, the efficiency of the proposed method is illustrated by the classi- fication of Iris data.Dempster-Shafer （DS） theory of evidence has been widely used in many data fusion application systems. However, how to determine basic probability assignment, which is the main and the first step in evidence theory, is still an open issue. In this paper, a new method to obtain Basic Probability Assignment （BPA） is proposed based on the similarity measure between generalized fuzzy numbers. In the proposed method, species model can be constructed by determination of the min, average and max value to construct a fuzzy number. Then, a new Radius Of Gravity （ROG） method to determine the similarity measure between generalized fuzzy numbers is used to calculate the BPA functions of each instance. Finally, the efficiency of the proposed method is illustrated by the classification of Iris data.

关 键 词：Data fusion Dempster-Shafer （DS） theory of evidence Basic Probability Assignment（BPA） Generalized fuzzy number Similarity measure 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]