Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866916368120545280 |
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| author | Wang, Xue-Ping Li, Meng Shu, Qian-Yu |
| author_facet | Wang, Xue-Ping Li, Meng Shu, Qian-Yu |
| contents | This article focuses on minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities. We first establish two necessary and sufficient conditions that a solution of the fuzzy relational inequalities is a minimal one and explore the existence condition of the unique minimal solution. We also supply an algorithm to search for minimal solutions of the fuzzy relational inequalities starting from a given solution. We then apply minimal solutions of the fuzzy relational inequalities to the minimax programming problems for searching optimal solutions. We provide two algorithms to solve a kind of single variable optimization problems, and obtain the greatest optimal solution. The algorithm for finding minimal solutions of a given solution are also used for searching minimal optimal solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_04651 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions Wang, Xue-Ping Li, Meng Shu, Qian-Yu General Mathematics This article focuses on minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities. We first establish two necessary and sufficient conditions that a solution of the fuzzy relational inequalities is a minimal one and explore the existence condition of the unique minimal solution. We also supply an algorithm to search for minimal solutions of the fuzzy relational inequalities starting from a given solution. We then apply minimal solutions of the fuzzy relational inequalities to the minimax programming problems for searching optimal solutions. We provide two algorithms to solve a kind of single variable optimization problems, and obtain the greatest optimal solution. The algorithm for finding minimal solutions of a given solution are also used for searching minimal optimal solutions. |
| title | Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2306.04651 |