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Volume 11
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10.3390/info11010003
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Article

Updating the Reduct in Fuzzy β-Covering via Matrix Approaches While Adding and Deleting Some Objects of the Universe

by
Jianxin Huang
1,2,†,
Peiqiu Yu
3,*,† and
Weikang Li
2
1
Fujian Province Key Laboratory of Computer Science, School of Mathematics Science, Huaqiao University, Quanzhou 362021, China
2
School of Mathematics Science, Huaqiao University, Quanzhou 362021, China
3
School of Mathematics and Statics, Minnan normal University, Zhangzhou 363000, China
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Information 2020, 11(1), 3; https://doi.org/10.3390/info11010003
Submission received: 27 November 2019 / Revised: 15 December 2019 / Accepted: 16 December 2019 / Published: 19 December 2019
(This article belongs to the Special Issue Big Data Analytics and Computational Intelligence)
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Abstract

Since fuzzy β -covering was proposed, few papers have focused on how to calculate the reduct in fuzzy β -covering and how to update the reduct while adding and deleting some objects of the universe. Here, we propose a matrix-based approach for computing the reduct in a fuzzy β -covering and updating it dynamically using a matrix. First, matrix forms for computing the reduct in a fuzzy β -covering are proposed. Second, properties of the matrix-based approaches are studied while adding and deleting objects. Then, matrix-based algorithms for updating the reduct in a fuzzy β -covering are proposed. Finally, the efficiency and validity of the designed algorithms are verified by experiments.
Keywords: reduction computation; knowledge acquisition; decision making reduction computation; knowledge acquisition; decision making

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MDPI and ACS Style

Huang, J.; Yu, P.; Li, W. Updating the Reduct in Fuzzy β-Covering via Matrix Approaches While Adding and Deleting Some Objects of the Universe. Information 2020, 11, 3. https://doi.org/10.3390/info11010003

AMA Style

Huang J, Yu P, Li W. Updating the Reduct in Fuzzy β-Covering via Matrix Approaches While Adding and Deleting Some Objects of the Universe. Information. 2020; 11(1):3. https://doi.org/10.3390/info11010003

Chicago/Turabian Style

Huang, Jianxin, Peiqiu Yu, and Weikang Li. 2020. "Updating the Reduct in Fuzzy β-Covering via Matrix Approaches While Adding and Deleting Some Objects of the Universe" Information 11, no. 1: 3. https://doi.org/10.3390/info11010003

APA Style

Huang, J., Yu, P., & Li, W. (2020). Updating the Reduct in Fuzzy β-Covering via Matrix Approaches While Adding and Deleting Some Objects of the Universe. Information, 11(1), 3. https://doi.org/10.3390/info11010003

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