Variational-like inequalities for n-dimensional fuzzy-vector-valued functions and fuzzy optimization
文献类型：期刊论文
| 作者 | Xie, Ting1,2 ; Gong, Zengtai1
|
| 刊名 | OPEN MATHEMATICS
 |
| 出版日期 | 2019-07-09 |
| 卷号 | 17页码:627-645 |
| 关键词 | n-dimensional fuzzy-number-valued functions generalized convexity variational-like inequality fuzzy optimization |
| ISSN号 | 2391-5455 |
| DOI | 10.1515/math-2019-0050 |
| 通讯作者 | Gong, Zengtai(zt-gong@163.com) |
| 英文摘要 | The existing results on the variational inequality problems for fuzzy mappings and their applications were based on Zadeh's decomposition theorem and were formally characterized by the precise sets which are the fuzzy mappings' cut sets directly. That is, the existence of the fuzzy variational inequality problems in essence has not been solved. In this paper, the fuzzy variational-like inequality problems is incorporated into the framework of n-dimensional fuzzy number space by means of the new ordering of two n-dimensional fuzzy-number-valued functions we proposed [Fuzzy Sets and Systems 295 (2016) 19-36]. As a theoretical basis, the existence and the basic properties of the fuzzy variational inequality problems are discussed. Furthermore, the relationship between the variational-like inequality problems and the fuzzy optimization problems is discussed. Finally, we investigate the optimality conditions for the fuzzy multiobjective optimization problems. |
| WOS关键词 | DIFFERENCE |
| 资助项目 | National Natural Science Foundation of China[61763044] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDA21010202] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000476706700001 |
| 出版者 | SCIENDO |
| 资助机构 | National Natural Science Foundation of China ; Strategic Priority Research Program of Chinese Academy of Sciences |
| 源URL | [http://119.78.100.186/handle/113462/132978]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Gong, Zengtai |
| 作者单位 | 1.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Gansu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xie, Ting,Gong, Zengtai. Variational-like inequalities for n-dimensional fuzzy-vector-valued functions and fuzzy optimization[J]. OPEN MATHEMATICS,2019,17:627-645. |
| APA | Xie, Ting,&Gong, Zengtai.(2019).Variational-like inequalities for n-dimensional fuzzy-vector-valued functions and fuzzy optimization.OPEN MATHEMATICS,17,627-645. |
| MLA | Xie, Ting,et al."Variational-like inequalities for n-dimensional fuzzy-vector-valued functions and fuzzy optimization".OPEN MATHEMATICS 17(2019):627-645. |
入库方式： OAI收割
来源：近代物理研究所
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