The problem of entropy production in the classic rule of combination in the Dezert-Smarandache theory

Abstract

In this paper, the classic rule of combination in the Dezert-Smarandache theory is found to be not convergent with the number increase of evidential sources since it leaves out the denominator in the Dempster's rule. That is, it is a process of entropy productions. This means the final result of combination is more uncertain, and can not give a good decision. Several illustrative examples are given to explain and testify this problem. Finally, a conclusion is given, in order to point out the necessity of developing some simple and convergent combinational rules in the Dezert-Smarandache theory.