A decomposable Deng entropy

Abstract

Dempster–Shafer evidence theory is an extension of classical probability theory in the evidential environment. Evidential environment is an environment in which Dempster–Shafer evidence theory is used. The decomposable entropy for the Dempster–Shafer evidence theory can efficiently decompose the Shannon entropy for the Dempster–Shafer evidence theory, and has high theoretical and application value. This article proposes the decomposable Deng entropy, which is an extension of the decomposable entropy for the Dempster–Shafer evidence theory. The decomposable Deng entropy can effectively decompose the Deng entropy. When the cardinalities of all focal elements of a mass function are 1, then the decomposable Deng entropy will collapse to the decomposable entropy for the Dempster–Shafer evidence theory. Many calculation examples are used to verify the performance of the proposed model in decomposing Deng entropy. Experimental results show that the proposed model can efficiently decompose the Deng entropy.