On Soft Sets and Formal Concept Analysis (FCA) as mathematical categorization systems - An Engineering Application
This paper deals with an analysis of the reasoning for the cognitive problem of categorization in systems. Such reasoning requires the construction of a formal model of the system that is performed in 3 steps: cognitive description of the system, extraction of system’s meaningful concepts, and desig...
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| Format: | Article |
| Language: | English |
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LibraryPress@UF
2024-05-01
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| Series: | Proceedings of the International Florida Artificial Intelligence Research Society Conference |
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| Online Access: | https://journals.flvc.org/FLAIRS/article/view/135534 |
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| author | Anca Pascu Laurent Nana Jean Vareille François Monin |
| author_facet | Anca Pascu Laurent Nana Jean Vareille François Monin |
| author_sort | Anca Pascu |
| collection | DOAJ |
| description | This paper deals with an analysis of the reasoning for the cognitive problem of categorization in systems. Such reasoning requires the construction of a formal model of the system that is performed in 3 steps: cognitive description of the system, extraction of system’s meaningful concepts, and design of the mathematical model based on the concepts. Our goal is to explore the cognitive features and their predominance in some old models of categorization well known in literature. We highlight the relation between Formal Concept Analysis (FCA) model and soft sets and we analyze the notion of "parameter" from the cognitive point of view. Based on this analysis, we propose the notion of double soft sets as a mathematical notion more adequate in the engineering applications. All our study is conducted in the framework of material selection in mechanical engineering. |
| format | Article |
| id | doaj-art-99674402cce34e9ca1f6d6e8f141a2cc |
| institution | DOAJ |
| issn | 2334-0754 2334-0762 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | LibraryPress@UF |
| record_format | Article |
| series | Proceedings of the International Florida Artificial Intelligence Research Society Conference |
| spelling | doaj-art-99674402cce34e9ca1f6d6e8f141a2cc2025-08-20T03:07:10ZengLibraryPress@UFProceedings of the International Florida Artificial Intelligence Research Society Conference2334-07542334-07622024-05-013710.32473/flairs.37.1.13553471913On Soft Sets and Formal Concept Analysis (FCA) as mathematical categorization systems - An Engineering ApplicationAnca Pascu0Laurent NanaJean VareilleFrançois MoninUniversité de Bretagne OccidentaleThis paper deals with an analysis of the reasoning for the cognitive problem of categorization in systems. Such reasoning requires the construction of a formal model of the system that is performed in 3 steps: cognitive description of the system, extraction of system’s meaningful concepts, and design of the mathematical model based on the concepts. Our goal is to explore the cognitive features and their predominance in some old models of categorization well known in literature. We highlight the relation between Formal Concept Analysis (FCA) model and soft sets and we analyze the notion of "parameter" from the cognitive point of view. Based on this analysis, we propose the notion of double soft sets as a mathematical notion more adequate in the engineering applications. All our study is conducted in the framework of material selection in mechanical engineering.https://journals.flvc.org/FLAIRS/article/view/135534mathematical theory of categorizationsoft setdouble soft setformal concept analysissystems parametersdurability of materials |
| spellingShingle | Anca Pascu Laurent Nana Jean Vareille François Monin On Soft Sets and Formal Concept Analysis (FCA) as mathematical categorization systems - An Engineering Application Proceedings of the International Florida Artificial Intelligence Research Society Conference mathematical theory of categorization soft set double soft set formal concept analysis systems parameters durability of materials |
| title | On Soft Sets and Formal Concept Analysis (FCA) as mathematical categorization systems - An Engineering Application |
| title_full | On Soft Sets and Formal Concept Analysis (FCA) as mathematical categorization systems - An Engineering Application |
| title_fullStr | On Soft Sets and Formal Concept Analysis (FCA) as mathematical categorization systems - An Engineering Application |
| title_full_unstemmed | On Soft Sets and Formal Concept Analysis (FCA) as mathematical categorization systems - An Engineering Application |
| title_short | On Soft Sets and Formal Concept Analysis (FCA) as mathematical categorization systems - An Engineering Application |
| title_sort | on soft sets and formal concept analysis fca as mathematical categorization systems an engineering application |
| topic | mathematical theory of categorization soft set double soft set formal concept analysis systems parameters durability of materials |
| url | https://journals.flvc.org/FLAIRS/article/view/135534 |
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