On the solvability of bipolar max-product fuzzy relation equations with the product negation
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909344067485696 |
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| author | Cornejo, M. Eugenia Lobo, David Medina, Jesús |
| author_facet | Cornejo, M. Eugenia Lobo, David Medina, Jesús |
| contents | This paper studies the solvability of the max-product fuzzy relation equations in which a negation operator is considered. Specifically, the residuated negation of the product t-norm has been introduced in these equations in order to increase the flexibility of the standard fuzzy relation equations introduced by Sanchez in 1976. The solvability and the set of solutions of these bipolar equations have been studied in different scenarios, depending on the considered number of variables and equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07206 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the solvability of bipolar max-product fuzzy relation equations with the product negation Cornejo, M. Eugenia Lobo, David Medina, Jesús General Mathematics This paper studies the solvability of the max-product fuzzy relation equations in which a negation operator is considered. Specifically, the residuated negation of the product t-norm has been introduced in these equations in order to increase the flexibility of the standard fuzzy relation equations introduced by Sanchez in 1976. The solvability and the set of solutions of these bipolar equations have been studied in different scenarios, depending on the considered number of variables and equations. |
| title | On the solvability of bipolar max-product fuzzy relation equations with the product negation |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2410.07206 |