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Summary of The Negation Of Permutation Mass Function, by Yongchuan Tang et al.


The negation of permutation mass function

by Yongchuan Tang, Rongfei Li

First submitted to arxiv on: 11 Mar 2024

Categories

  • Main: Artificial Intelligence (cs.AI)
  • Secondary: Information Theory (cs.IT)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper proposes a novel approach to applying negation in random permutation sets theory, building upon existing methods from probability theory, evidence theory, and complex evidence theory. The authors introduce the concept of negation of permutation mass function, verify its convergence, and explore the trends of uncertainty and dissimilarity after each operation. Numerical examples demonstrate the effectiveness of the proposed method.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper shows how to use a new way of thinking about information, called random permutation sets theory, to understand things better. It’s like taking a puzzle apart and putting it back together in a different way. The authors came up with a new idea for making this kind of thinking work better by using something called “negation”. They tested their idea and showed that it makes sense.

Keywords

» Artificial intelligence  » Probability