一种证据不确定性度量方法及其应用.pdf

48 2015 ，51（23 ） Computer Engineering and Applications 计算机工程与应用 一种证据不确定性度量方法及其应用 1，2 1 1 陈金广 ，张 芬 ，马丽丽 1，2 1 1 CHEN Jinguang , ZHANG Fen , MA Lili 1.西安工程大学 计算机科学学院，西安 710048 2.西安电子科技大学 电子工程学院，西安 710071 1.School of Computer Science, Xi ’an Polytechnic University, Xi ’an 710048, China 2.School of Electronic Engineering, Xidian University, Xi ’an 710071, China CHEN Jinguang, ZHANG Fen, MA Lili. Uncertainty measure method of evidence and its application. Computer Engineering and Applications, 2015, 51 （23 ）：48-53. Abstract ：Conflict of evidence is one of the most important factor which leads to the fusion result of evidence theory unsatis- factory. Thus the evidence conflict has been the key issue to be solved in evidence theory. By using a linear combination of ambiguity measure, discord measure and nonspecificity measure, a new uncertainty measurement method of evidence is presented. The new method covers uncertainty information more fully of discord and nonspecificity which are included in the body of evidence. This method makes the information more complete in the result of uncertainty measure. Based on the new method, an exponential function is used to construct weights, and the body of evidence is preprocessed. Finally, Dempster-shafer theory, proportional conflict redistribution 2 and proportional conflict redistribution 5 are used to fuse the preprocessing evidences. Numerical examples show that the fusion results are reasonable, and then the new uncertainty measurement method is effective. Key words ：uncertainty measure; evidence theory; ambiguity measure; discord; nonspecificity; information fusion 摘 要：证据的冲突是导致证据理论融合结果不理想的重要因素，对证据冲突的处理一直是证据理论中要解决的关 键问题。通过对多义度、不一致度和非特异度进行线性组合，提出一种新的证据不确定性度量方法。新方法能够更 全面地涵盖证据体中所包含的不一致和非特异性两类不确定信息，使得证据不确定性度量结果所包含的信息更为 完整。在此基础上，采用指数函数构造权重，对证据体进行预处理，然后采用DST 、PCR2 和PCR5 进行融合。算例结 果表明融合结果合理，新的证据不确定性度量方法有