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Some notes on betting commitment distance in evidence theory
Affiliation:HAN DeQiang1 , DENG Yong2, HAN ChongZhao1 & YANG Yi3 1MOE KLINNS Lab, SKLMSE Lab, Institute of Integrated Automation, School of Electronics and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China; 2School of Electronics and Information Technology, Shanghai Jiaotong University, Shanghai 200240, China; 3School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, China
Abstract:The distance of evidence, which represents the degree of dissimilarity between bodies of evidence, has attracted more and more interest and has found extensive uses in many realms. In this paper some notes on a widely used distance of evidence, i.e., betting commitment distance, are provided, including the arguments on the rationality of its definition, some misuses and some counter-intuitive behaviors of betting commitment distance. Several numerical examples are also provided to support and verify our arguments.
Keywords:pignistic probability  evidence theory  betting commitment distance  distance of evidence
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