Negation of permutation mass function in random permutation sets theory for uncertain information modeling

Author:

Tang YongchuanORCID,Li Rongfei,Guan He,Zhou Deyun,Huang Yubo

Abstract

AbstractNegation provides a novel perspective for the representation of information. However, current research seldom addresses the issue of negation within the random permutation set theory. Based on the concept of belief reassignment, this paper proposes a method for obtaining the negation of permutation mass function in the of random set theory. The convergence of proposed negation is verified, the trends of uncertainty and dissimilarity after each negation operation are investigated. Furthermore, this paper introduces a negation-based uncertainty measure, and designs a multi-source information fusion approach based on the proposed measure. Numerical examples are used to verify the rationality of proposed method.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Chongqing, China

Natural Science Basic Research Program of Shaanxi

NWPU Research Fund for Young Scholars

Publisher

Springer Science and Business Media LLC

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