Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions

doi:10.1515/math-2020-0081

	Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions
	Xie, Ting 2; Gong, Zengtai 1,3; Li, Dapeng 1
刊名	OPEN MATHEMATICS
	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.
资助项目	National Natural Science Foundation of China[61763044]
WOS关键词	PROGRAMMING PROBLEMS ; DIFFERENCE ; MAPPINGS
WOS研究方向	Mathematics
语种	英语
出版者	DE GRUYTER POLAND SP Z O O
WOS记录号	WOS:000600964200001
资助机构	National Natural Science Foundation of China
内容类型	期刊论文
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.