Sub-base local reduct in a family of sub-bases
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....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-05-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022732?viewType=HTML |
| _version_ | 1818006125716439040 |
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| author | Liying Yang Jinjin Li Yiliang Li Qifang Li |
| author_facet | Liying Yang Jinjin Li Yiliang Li Qifang Li |
| author_sort | Liying Yang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T04:56:01Z |
| format | Article |
| id | doaj.art-9aa15a06b03941a39760759c5755efd4 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-14T04:56:01Z |
| publishDate | 2022-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-9aa15a06b03941a39760759c5755efd42022-12-22T02:11:08ZengAIMS PressAIMS Mathematics2473-69882022-05-0177132711327710.3934/math.2022732Sub-base local reduct in a family of sub-basesLiying Yang0Jinjin Li 1Yiliang Li2Qifang Li31. Department of Teacher Education, Zhangzhou City College, Zhangzhou, Fujian 363000, China2. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, China3. School of Mathematics, Shandong University, Jinan, Shandong 250100, China2. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, ChinaThis 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.https://www.aimspress.com/article/doi/10.3934/math.2022732?viewType=HTMLsub-base local reductsub-base local consistent setsub-base local discernibility matrixsub-base local discernibility boolean matrix |
| spellingShingle | Liying Yang Jinjin Li Yiliang Li Qifang Li Sub-base local reduct in a family of sub-bases AIMS Mathematics sub-base local reduct sub-base local consistent set sub-base local discernibility matrix sub-base local discernibility boolean matrix |
| title | Sub-base local reduct in a family of sub-bases |
| title_full | Sub-base local reduct in a family of sub-bases |
| title_fullStr | Sub-base local reduct in a family of sub-bases |
| title_full_unstemmed | Sub-base local reduct in a family of sub-bases |
| title_short | Sub-base local reduct in a family of sub-bases |
| title_sort | sub base local reduct in a family of sub bases |
| topic | sub-base local reduct sub-base local consistent set sub-base local discernibility matrix sub-base local discernibility boolean matrix |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022732?viewType=HTML |
| work_keys_str_mv | AT liyingyang subbaselocalreductinafamilyofsubbases AT jinjinli subbaselocalreductinafamilyofsubbases AT yiliangli subbaselocalreductinafamilyofsubbases AT qifangli subbaselocalreductinafamilyofsubbases |