Combination method for Dempster-Shafer theory of evidence based on interval numbers
Guo Zheng-dong · Journal of Naval University of Engineering · 2009
With good performance in dealing with uncertain information,Dempster-Shafer theory of evidence(DST) is used in many practical aspects.And the basic probability assignment(BPA) plays a great role in its application.In the traditional DST,BPA is defined as a real number belonging to the range of \.However,it is hard to provide such real numbers accurately in its practical applications.The interval numbers were introduced into DST to solve this problem.Based on the establishment of the general addition and multiplication operators which satisfy the close of operation,the interval-valued BPA function,belief function and plausibility function were defined respectively,and the rule for combining pieces of evidence was presented in detail.Thus,the preliminary structure of DST based on interval numbers was discussed.Finally,an illustrative example proved that the novel method processes some advantages such as more flexibility and less computation complexity over the traditional one in DST.