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Research on the Application of Limited Tolerance Relation in Multi Granularity Rough Set

Published: 25 February 2022 Publication History

Abstract

For incomplete information systems, based on the equivalent classification of domain objects, the definitions and properties of relation graph, relation matrix and class of limited tolerance relation are studied. The limited tolerance class can be calculated intuitively and clearly by using the relation graph or relation matrix of the limited tolerance relation. The granularity matrix of degree multi granularity rough set based on limited tolerance relation is proposed. The lower approximation of variable degree multi granularity rough set can be quickly calculated by using the granularity matrix.

References

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ACAI '21: Proceedings of the 2021 4th International Conference on Algorithms, Computing and Artificial Intelligence
December 2021
699 pages
ISBN:9781450385053
DOI:10.1145/3508546
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 25 February 2022

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Author Tags

  1. Granularity Matrix
  2. Limited Tolerance Relation
  3. Multi Granularity Rough Set
  4. Relation Graph
  5. Relation Matrix

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  • Refereed limited

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  • Natural Science Fund Project of Anhui Province

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ACAI'21

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Overall Acceptance Rate 173 of 395 submissions, 44%

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