A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings
Invex monotonicity and pseudoinvex monotonicity of fuzzy mappings are introduced in this paper, and relations are discussed between invex monotonicity (pseudoinvex monotonicity) and invexity (pseudoinvexity) of fuzzy mappings. The existence of a solution to the fuzzy variational-like inequality is d...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/854751 |
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| _version_ | 1832565007284436992 |
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| author | Zezhong Wu Jiuping Xu |
| author_facet | Zezhong Wu Jiuping Xu |
| author_sort | Zezhong Wu |
| collection | DOAJ |
| description | Invex monotonicity and pseudoinvex monotonicity of fuzzy mappings are introduced in this paper, and relations are discussed between invex monotonicity (pseudoinvex monotonicity) and invexity (pseudoinvexity) of fuzzy mappings. The existence of a solution to the fuzzy variational-like inequality is discussed, and the existence theorem can be achieved. Furthermore, some extended properties of the fuzzy variational-like inequality are researched. Finally, method of solution is discussed based on genetic algorithm. |
| format | Article |
| id | doaj-art-19e21dc0001546848cadda0798c8dcc0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-19e21dc0001546848cadda0798c8dcc02025-02-03T01:09:36ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/854751854751A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy MappingsZezhong Wu0Jiuping Xu1College of Mathematics, Chengdu University of Information Technology, Chengdu 610225, ChinaUncertainty Decision-Making Laboratory, School of Business and Administration, Sichuan University, Chengdu 610064, ChinaInvex monotonicity and pseudoinvex monotonicity of fuzzy mappings are introduced in this paper, and relations are discussed between invex monotonicity (pseudoinvex monotonicity) and invexity (pseudoinvexity) of fuzzy mappings. The existence of a solution to the fuzzy variational-like inequality is discussed, and the existence theorem can be achieved. Furthermore, some extended properties of the fuzzy variational-like inequality are researched. Finally, method of solution is discussed based on genetic algorithm.http://dx.doi.org/10.1155/2013/854751 |
| spellingShingle | Zezhong Wu Jiuping Xu A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings Abstract and Applied Analysis |
| title | A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings |
| title_full | A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings |
| title_fullStr | A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings |
| title_full_unstemmed | A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings |
| title_short | A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings |
| title_sort | class of fuzzy variational inequality based on monotonicity of fuzzy mappings |
| url | http://dx.doi.org/10.1155/2013/854751 |
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