Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions
文献类型：期刊论文
| 作者 | Xie, Ting2 ; Gong, Zengtai1,3; Li, Dapeng1
|
| 刊名 | OPEN MATHEMATICS
 |
| 出版日期 | 2020-12-07 |
| 卷号 | 18页码:1451-1477 |
| 关键词 | fuzzy n-cell number n-dimensional fuzzy-number-valued function directional generalized derivative subdifferential fuzzy optimization |
| ISSN号 | 2391-5455 |
| DOI | 10.1515/math-2020-0081 |
| 通讯作者 | Gong, Zengtai(zt-gong@163.com) |
| 英文摘要 | In this paper, we present the concepts of generalized derivative, directional generalized derivative, subdifferential and conjugate for n-dimensional fuzzy-number-valued functions and discuss the characterizations of generalized derivative and directional generalized derivative by, respectively, using the derivative and directional derivative of crisp functions that are determined by the fuzzy mapping. Furthermore, the relations among generalized derivative, directional generalized derivative, subdifferential and convexity for n-dimensional fuzzy-number-valued functions are investigated. Finally, under two kinds of partial orderings defined on the set of all n-dimensional fuzzy numbers, the duality theorems and saddle point optimality criteria in fuzzy optimization problems with constraints are discussed. |
| WOS关键词 | PROGRAMMING PROBLEMS ; DIFFERENCE ; MAPPINGS |
| 资助项目 | National Natural Science Foundation of China[61763044] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000600964200001 |
| 出版者 | DE GRUYTER POLAND SP Z O O |
| 资助机构 | National Natural Science Foundation of China |
| 源URL | [http://119.78.100.186/handle/113462/138553]  |
| 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.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 2.Northwest Normal Univ, Coll Social Dev & Publ Adm, Lanzhou 730070, Peoples R China 3.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xie, Ting,Gong, Zengtai,Li, Dapeng. Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions[J]. OPEN MATHEMATICS,2020,18:1451-1477. |
| APA | Xie, Ting,Gong, Zengtai,&Li, Dapeng.(2020).Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions.OPEN MATHEMATICS,18,1451-1477. |
| MLA | Xie, Ting,et al."Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions".OPEN MATHEMATICS 18(2020):1451-1477. |
入库方式： OAI收割
来源：近代物理研究所
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