Three-Way Concept Acquisition and Attribute Characteristic Analysis Based on Pictorial Diagrams
Three-way concepts analysis, an effective tool for knowledge discovery, is a combination of three-way decision and formal concept analysis. Based on the connections between three-way concepts and formal concepts, the method of obtaining three-way concepts and the method of how to judge attribute cha...
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| Format: | Article |
| Language: | zho |
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Journal of Computer Engineering and Applications Beijing Co., Ltd., Science Press
2022-12-01
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| Series: | Jisuanji kexue yu tansuo |
| Subjects: | |
| Online Access: | http://fcst.ceaj.org/fileup/1673-9418/PDF/2104120.pdf |
| _version_ | 1798004004651794432 |
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| author | WAN Qing, MA Yingcang, LI Jinhai |
| author_facet | WAN Qing, MA Yingcang, LI Jinhai |
| author_sort | WAN Qing, MA Yingcang, LI Jinhai |
| collection | DOAJ |
| description | Three-way concepts analysis, an effective tool for knowledge discovery, is a combination of three-way decision and formal concept analysis. Based on the connections between three-way concepts and formal concepts, the method of obtaining three-way concepts and the method of how to judge attribute characteristics are studied respectively from the perspective of pictorial diagrams. Inspired by the pictorial-diagrams-based acquisition methods of concepts (formal concept, object-oriented concept and property-oriented concept), and combining the connections between three kinds of concepts in combinatorial contexts and four kinds of three-way concepts, the definitions of combinatorial-property (combinatorial-object) pictorial diagram and property pair induced (object pair induced) three-way pictorial diagram are proposed. Then, the acquisition approaches to four kinds of three-way concepts are investigated by using the novel proposed pictorial diagrams. In addition, from the perspective of preserving the structure of the lattice, the general definitions of the reduction and attribute characteristics are given, attribute characteristics of an object induced three-way concept lattice are analyzed by discernibility matrix, and the judg-ment theorems of attribute characteristics are given based on property pair induced pictorial diagrams. |
| first_indexed | 2024-04-11T12:16:41Z |
| format | Article |
| id | doaj.art-ee76747d8e014f64a1cfa8f7ebd09373 |
| institution | Directory Open Access Journal |
| issn | 1673-9418 |
| language | zho |
| last_indexed | 2024-04-11T12:16:41Z |
| publishDate | 2022-12-01 |
| publisher | Journal of Computer Engineering and Applications Beijing Co., Ltd., Science Press |
| record_format | Article |
| series | Jisuanji kexue yu tansuo |
| spelling | doaj.art-ee76747d8e014f64a1cfa8f7ebd093732022-12-22T04:24:18ZzhoJournal of Computer Engineering and Applications Beijing Co., Ltd., Science PressJisuanji kexue yu tansuo1673-94182022-12-0116122879288910.3778/j.issn.1673-9418.2104120Three-Way Concept Acquisition and Attribute Characteristic Analysis Based on Pictorial DiagramsWAN Qing, MA Yingcang, LI Jinhai01. School of Science, Xi’an Polytechnic University, Xi’an 710048, China;2. Institute of Concepts, Cognition and Intelligence, Northwest University, Xi’an 710127, China;3. Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China;4. Data Science Research Center, Kunming University of Science and Technology, Kunming 650500, ChinaThree-way concepts analysis, an effective tool for knowledge discovery, is a combination of three-way decision and formal concept analysis. Based on the connections between three-way concepts and formal concepts, the method of obtaining three-way concepts and the method of how to judge attribute characteristics are studied respectively from the perspective of pictorial diagrams. Inspired by the pictorial-diagrams-based acquisition methods of concepts (formal concept, object-oriented concept and property-oriented concept), and combining the connections between three kinds of concepts in combinatorial contexts and four kinds of three-way concepts, the definitions of combinatorial-property (combinatorial-object) pictorial diagram and property pair induced (object pair induced) three-way pictorial diagram are proposed. Then, the acquisition approaches to four kinds of three-way concepts are investigated by using the novel proposed pictorial diagrams. In addition, from the perspective of preserving the structure of the lattice, the general definitions of the reduction and attribute characteristics are given, attribute characteristics of an object induced three-way concept lattice are analyzed by discernibility matrix, and the judg-ment theorems of attribute characteristics are given based on property pair induced pictorial diagrams.http://fcst.ceaj.org/fileup/1673-9418/PDF/2104120.pdf|three-way concept|attribute characteristic|discernibility matrix|combinatorial pictorial diagram|three-way pictorial diagram |
| spellingShingle | WAN Qing, MA Yingcang, LI Jinhai Three-Way Concept Acquisition and Attribute Characteristic Analysis Based on Pictorial Diagrams Jisuanji kexue yu tansuo |three-way concept|attribute characteristic|discernibility matrix|combinatorial pictorial diagram|three-way pictorial diagram |
| title | Three-Way Concept Acquisition and Attribute Characteristic Analysis Based on Pictorial Diagrams |
| title_full | Three-Way Concept Acquisition and Attribute Characteristic Analysis Based on Pictorial Diagrams |
| title_fullStr | Three-Way Concept Acquisition and Attribute Characteristic Analysis Based on Pictorial Diagrams |
| title_full_unstemmed | Three-Way Concept Acquisition and Attribute Characteristic Analysis Based on Pictorial Diagrams |
| title_short | Three-Way Concept Acquisition and Attribute Characteristic Analysis Based on Pictorial Diagrams |
| title_sort | three way concept acquisition and attribute characteristic analysis based on pictorial diagrams |
| topic | |three-way concept|attribute characteristic|discernibility matrix|combinatorial pictorial diagram|three-way pictorial diagram |
| url | http://fcst.ceaj.org/fileup/1673-9418/PDF/2104120.pdf |
| work_keys_str_mv | AT wanqingmayingcanglijinhai threewayconceptacquisitionandattributecharacteristicanalysisbasedonpictorialdiagrams |