New Cross Entropy on Dempster-Shafer Theory Under Uncertainty

This paper introduces a new generalized definition of cross entropy for finding a solution of a multi-criteria decision-making (MC- DM) problem. New interpretation of a belief function in Dempster Shafer theory, known as evidence or belief function theory, under uncer-tainty is presented, which is affected in the decision-making process. Be-lief functions are determined as three elements (i.e., belief degree, uncer-tainty 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 MCDM method is demonstrated by solving a numerical example.