A generalization of a copula-based construction of fuzzy implications
In this paper we complement and generalize some constructions of fuzzy implications based on two arbitrary copulas, obtaining new fuzzy implications. By means of (restricted) aggregation functions acting on [0, 1]S, where Sis a fixed finite or infinite set, and related S-systems of fuzzy implication...
| Main Authors: | , , , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://www.sciencedirect.com/science/article/abs/pii/S0165011422002056 http://hdl.handle.net/10835/14926 |
| _version_ | 1789406659292954624 |
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| author | Fernández Sánchez, Juan Kolesárová, Anna Mesiar, Radko Quesada Molina, José Juan Úbeda Flores, Manuel |
| author_facet | Fernández Sánchez, Juan Kolesárová, Anna Mesiar, Radko Quesada Molina, José Juan Úbeda Flores, Manuel |
| author_sort | Fernández Sánchez, Juan |
| collection | DSpace |
| description | In this paper we complement and generalize some constructions of fuzzy implications based on two arbitrary copulas, obtaining new fuzzy implications. By means of (restricted) aggregation functions acting on [0, 1]S, where Sis a fixed finite or infinite set, and related S-systems of fuzzy implications and transforming functions, we introduce and discuss a rather general method for constructing fuzzy implications. Several examples illustrating our results are also included. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-14926 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2023 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-149262023-12-22T11:58:56Z A generalization of a copula-based construction of fuzzy implications Fernández Sánchez, Juan Kolesárová, Anna Mesiar, Radko Quesada Molina, José Juan Úbeda Flores, Manuel Aggregation function Copula Fuzzy implication In this paper we complement and generalize some constructions of fuzzy implications based on two arbitrary copulas, obtaining new fuzzy implications. By means of (restricted) aggregation functions acting on [0, 1]S, where Sis a fixed finite or infinite set, and related S-systems of fuzzy implications and transforming functions, we introduce and discuss a rather general method for constructing fuzzy implications. Several examples illustrating our results are also included. 2023-12-22T11:58:55Z 2023-12-22T11:58:55Z 2023 info:eu-repo/semantics/article 0165-0114 https://www.sciencedirect.com/science/article/abs/pii/S0165011422002056 http://hdl.handle.net/10835/14926 10.1016/j.fss.2022.05.013 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | Aggregation function Copula Fuzzy implication Fernández Sánchez, Juan Kolesárová, Anna Mesiar, Radko Quesada Molina, José Juan Úbeda Flores, Manuel A generalization of a copula-based construction of fuzzy implications |
| title | A generalization of a copula-based construction of fuzzy implications |
| title_full | A generalization of a copula-based construction of fuzzy implications |
| title_fullStr | A generalization of a copula-based construction of fuzzy implications |
| title_full_unstemmed | A generalization of a copula-based construction of fuzzy implications |
| title_short | A generalization of a copula-based construction of fuzzy implications |
| title_sort | generalization of a copula-based construction of fuzzy implications |
| topic | Aggregation function Copula Fuzzy implication |
| url | https://www.sciencedirect.com/science/article/abs/pii/S0165011422002056 http://hdl.handle.net/10835/14926 |
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