The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers
We propose the solution concepts for the fuzzy optimization problems in the quotient space of fuzzy numbers. The Karush-Kuhn-Tucker (KKT) optimality conditions are elicited naturally by introducing the Lagrange function multipliers. The effectiveness is illustrated by examples.
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/1242841 |
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| author | Nanxiang Yu Dong Qiu |
| author_facet | Nanxiang Yu Dong Qiu |
| author_sort | Nanxiang Yu |
| collection | DOAJ |
| description | We propose the solution concepts for the fuzzy optimization problems in the quotient space of fuzzy numbers. The Karush-Kuhn-Tucker (KKT) optimality conditions are elicited naturally by introducing the Lagrange function multipliers. The effectiveness is illustrated by examples. |
| format | Article |
| id | doaj-art-252c5c0dff514741bb95c6860426ba1a |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-252c5c0dff514741bb95c6860426ba1a2025-08-20T03:54:52ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/12428411242841The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy NumbersNanxiang Yu0Dong Qiu1College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, ChinaCollege of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, ChinaWe propose the solution concepts for the fuzzy optimization problems in the quotient space of fuzzy numbers. The Karush-Kuhn-Tucker (KKT) optimality conditions are elicited naturally by introducing the Lagrange function multipliers. The effectiveness is illustrated by examples.http://dx.doi.org/10.1155/2017/1242841 |
| spellingShingle | Nanxiang Yu Dong Qiu The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers Complexity |
| title | The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers |
| title_full | The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers |
| title_fullStr | The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers |
| title_full_unstemmed | The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers |
| title_short | The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers |
| title_sort | karush kuhn tucker optimality conditions for the fuzzy optimization problems in the quotient space of fuzzy numbers |
| url | http://dx.doi.org/10.1155/2017/1242841 |
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