New cross entropy on Dempster-Shafer theory under uncertainty

Abstract

This paper introduces a new generalized denition of cross-entropy for nding the solution of a multi-criteria decision-making (MC-DM) problem. A new interpretation of a belief function in DempsterShafer theory, namely belief function theory, under uncertainty is presented, which is affected in the decision-making process. Belief functions are determined as three elements (i.e., belief degree, uncertainty degree and disbelief degree). Then, a belief measure between an alternative and ideal alternative is calculated by cross entropy to rank alternatives and select the most desirable one. Finally, the efficiency of the proposed CDM method is demonstrated by solving a numerical example.