Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint
In this paper, a new solution method of quadratic programming with max-min fuzzy relation equation constraint is put forward. Firstly, the optimal solution to some special fuzzy relation quadratic programming is researched. Secondly, some rules are presented to simplify the original programming. Fin...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2024-12-01
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| Series: | Fuzzy Information and Engineering |
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| Online Access: | https://www.sciopen.com/article/10.26599/FIE.2024.9270047 |
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| _version_ | 1849221714478628864 |
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| author | Xue-Gang Zhou |
| author_facet | Xue-Gang Zhou |
| author_sort | Xue-Gang Zhou |
| collection | DOAJ |
| description | In this paper, a new solution method of quadratic programming with max-min fuzzy relation equation constraint is put forward. Firstly, the optimal solution to some special fuzzy relation quadratic programming is researched. Secondly, some rules are presented to simplify the original programming. Finally, the new algorithm is given based on the simplified programming and the branch and bound method, the new algorithm does not need to find all feasible minimal solutions. Some numerical examples are given to illustrate the feasibility and effectiveness of the presented new algorithm. |
| format | Article |
| id | doaj-art-5a9633a4072d4fcebc2ea38e9c18820d |
| institution | Kabale University |
| issn | 1616-8658 1616-8666 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj-art-5a9633a4072d4fcebc2ea38e9c18820d2025-01-15T18:10:44ZengTsinghua University PressFuzzy Information and Engineering1616-86581616-86662024-12-0116430031310.26599/FIE.2024.9270047Qudratic Programming with Max-Min Fuzzy Relation Equations ConstraintXue-Gang Zhou0School of Financial Mathematics & Statistics, Guangdong University of Finance, Guangzhou 510521, ChinaIn this paper, a new solution method of quadratic programming with max-min fuzzy relation equation constraint is put forward. Firstly, the optimal solution to some special fuzzy relation quadratic programming is researched. Secondly, some rules are presented to simplify the original programming. Finally, the new algorithm is given based on the simplified programming and the branch and bound method, the new algorithm does not need to find all feasible minimal solutions. Some numerical examples are given to illustrate the feasibility and effectiveness of the presented new algorithm.https://www.sciopen.com/article/10.26599/FIE.2024.9270047quadratic programmingfuzzy relation equationfuzzy relation quadratic programmingoptimal solution |
| spellingShingle | Xue-Gang Zhou Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint Fuzzy Information and Engineering quadratic programming fuzzy relation equation fuzzy relation quadratic programming optimal solution |
| title | Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint |
| title_full | Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint |
| title_fullStr | Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint |
| title_full_unstemmed | Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint |
| title_short | Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint |
| title_sort | qudratic programming with max min fuzzy relation equations constraint |
| topic | quadratic programming fuzzy relation equation fuzzy relation quadratic programming optimal solution |
| url | https://www.sciopen.com/article/10.26599/FIE.2024.9270047 |
| work_keys_str_mv | AT xuegangzhou qudraticprogrammingwithmaxminfuzzyrelationequationsconstraint |