The negation of permutation mass function
- URL: http://arxiv.org/abs/2403.06483v2
- Date: Wed, 13 Mar 2024 02:17:25 GMT
- Title: The negation of permutation mass function
- Authors: Yongchuan Tang, Rongfei Li
- Abstract summary: Existing negation methods are mainly applied in probability theory, evidence theory and complex evidence theory.
How to apply the concept of negation to random permutation sets theory has not been studied.
- Score: 3.1981440103815717
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Negation is an important perspective of knowledge representation. Existing
negation methods are mainly applied in probability theory, evidence theory and
complex evidence theory. As a generalization of evidence theory, random
permutation sets theory may represent information more precisely. However, how
to apply the concept of negation to random permutation sets theory has not been
studied. In this paper, the negation of permutation mass function is proposed.
Moreover, in the negation process, the convergence of proposed negation method
is verified. The trends of uncertainty and dissimilarity after each negation
operation are investigated. Numerical examples are used to demonstrate the
rationality of the proposed method.
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