Negation is a 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.

翻译：否定是知识表示的重要视角。现有的否定方法主要应用于概率论、证据理论和复杂证据理论。作为证据理论的推广，随机置换集理论能够更精确地表示信息。然而，如何将否定的概念应用于随机置换集理论尚未得到研究。本文提出了排列质量函数的否定方法。此外，在否定过程中，验证了所提否定方法的收敛性。研究了每次否定操作后不确定性和不相似性的变化趋势。通过数值算例证明了所提方法的合理性。