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Research Article | Open Access

Sub-base local reduct in a family of sub-bases

Liying Yang1, Jinjin Li2( ), Yiliang Li3, Qifang Li2
Department of Teacher Education, Zhangzhou City College, Zhangzhou, Fujian 363000, China
School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, China
School of Mathematics, Shandong University, Jinan, Shandong 250100, China
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Abstract

This paper discusses sub-base local reducts in a family of sub-bases. Firstly, definitions of sub-base local consistent sets and sub-base local reducts are provided. Using the sub-base local discernibility matrix, a necessary and sufficient condition for sub-base local consistent sets is presented. Secondly, properties of the sub-base local core are studied. Finally, sub-base local discernibility Boolean matrices are defined, and the calculation method is given. Utilizing sub-base local discernibility Boolean matrices, an algorithm is devised to obtain sub-base local reducts.

Keywords

sub-base local reductsub-base local consistent setsub-base local discernibility matrixsub-base local discernibility Boolean matrix
CLC number: 54A05, 54B15, 54C05, 54C10

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 13271-13277
DOI: 10.3934/math.2022732

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Cite this article:
Yang L, Li J, Li Y, et al. Sub-base local reduct in a family of sub-bases. AIMS Mathematics, 2022, 7(7): 13271-13277. https://doi.org/10.3934/math.2022732

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Received: 15 January 2022
Revised: 26 April 2022
Accepted: 05 May 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)