Abstract: A new method was developed for dealing with seriously conflicting evidence when the Dempster combination result can not identify the actual conditions. The method combines the advantages of justification of evidence information and combination rules. The reliability of evidence, computed by a conflict matrix, is taken as discount factor to correct the belief functions. And then the problem of space and weight for conflict redistribution is addressed based on the idea of distributing local conflict to local focal elements. Compared with the existing methods, the new method can applied toboth cases of conflicting and coincidence. And the numerical simulation shows that the method improves the reliability and rationality of combination results,and also accelerates convergence and reduces the decision risk.

Key words: D-S evidence theory, Combination rule, Conflict, Reliability, Discount factor