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Matrix Representations and Interdependency on an L-fuzzy Covering-Based Rough Set

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Rough Sets (IJCRS 2022)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13633))

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Abstract

In this paper, the matrix representations and interdependency of a pair of L-fuzzy covering-based approximation operators are investigated. The aim of matrix representations of lower and upper approximation operators is to make calculation more valid by means of operations on matrices. Furthermore, in accordance with the concept of \(\beta \)-base, we give a necessary and sufficient condition under what two L-fuzzy \(\beta \)-coverings can generate the same lower and upper approximation operations.

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Acknowledgments

This research was supported by the National Natural Science Foundation of China (Grant no. 12101500) and the Chinese Universities Scientific Fund (Grant nos. 2452018054 and 2452022370).

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Authors and Affiliations

  1. College of Science, Northwest A & F University, Yangling, Xianyang, 712100, People’s Republic of China

    Wei Li & Bin Yang

Authors
  1. Wei Li
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  2. Bin Yang
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Corresponding author

Correspondence to Bin Yang .

Editor information

Editors and Affiliations

  1. University of Regina, Regina, SK, Canada

    JingTao Yao

  2. Iwate Prefectural University, Takizawa, Iwate, Japan

    Hamido Fujita

  3. Shanghai University, Shanghai, China

    Xiaodong Yue

  4. Tongji University, Shanghai, China

    Duoqian Miao

  5. University of Kansas, Lawrence, KS, USA

    Jerzy Grzymala-Busse

  6. Soochow University, Suzhou, Jiangsu, China

    Fanzhang Li

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Li, W., Yang, B. (2022). Matrix Representations and Interdependency on an L-fuzzy Covering-Based Rough Set. In: Yao, J., Fujita, H., Yue, X., Miao, D., Grzymala-Busse, J., Li, F. (eds) Rough Sets. IJCRS 2022. Lecture Notes in Computer Science(), vol 13633. Springer, Cham. https://doi.org/10.1007/978-3-031-21244-4_11

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  • DOI: https://doi.org/10.1007/978-3-031-21244-4_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-21243-7

  • Online ISBN: 978-3-031-21244-4

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