A decomposable Deng entropy

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.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

Dempster-Shafer evidence theory is an extension of classical probability theory used in the evidential environment. The decomposable entropy in this theory has high theoretical and application value, and the article proposes a new decomposable Deng entropy that effectively decomposes Deng entropy. Experimental results demonstrate the efficiency of the proposed model in decomposing Deng entropy.