Generalized differentiability for n-dimensional fuzzy-number-valued functions and fuzzy optimization

doi:10.1016/j.ins.2016.09.028

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Generalized differentiability for n-dimensional fuzzy-number-valued functions and fuzzy optimization
	Hai, Shexiang 1; Gong, Zengtai 2; Li, Hongxia 3
刊名	INFORMATION SCIENCES
	2016-12-20
卷号	374 页码:151-163
关键词	Generalized difference Fuzzy numbers Generalized differentiability Fuzzy-number-valued functions
ISSN号	0020-0255
DOI	10.1016/j.ins.2016.09.028
英文摘要	In this paper, we present a characteristic theorem for the generalized difference concept of n-dimensional fuzzy-numbers by means of support functions. The concepts of differentiability for n-dimensional fuzzy-number-valued functions are presented and discussed using the new generalized difference. The relationships of g-differentiability, s-differentiability, and I-differentiability are characterized. Furthermore, optimization problems with s-convex and s-differentiable fuzzy-number-valued functions are described. (C) 2016 Elsevier Inc. All rights reserved.
资助项目	Scientific Research Project for Higher Education of Gansu Province[2015A-144]
WOS研究方向	Computer Science
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000386645800010
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/33504]
专题	理学院
通讯作者	Gong, Zengtai
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China 2.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China 3.Longdong Univ, Coll Math & Stat, Qingyang 745000, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Hai, Shexiang,Gong, Zengtai,Li, Hongxia. Generalized differentiability for n-dimensional fuzzy-number-valued functions and fuzzy optimization[J]. INFORMATION SCIENCES,2016,374:151-163.
APA	Hai, Shexiang,Gong, Zengtai,&Li, Hongxia.(2016).Generalized differentiability for n-dimensional fuzzy-number-valued functions and fuzzy optimization.INFORMATION SCIENCES,374,151-163.
MLA	Hai, Shexiang,et al."Generalized differentiability for n-dimensional fuzzy-number-valued functions and fuzzy optimization".INFORMATION SCIENCES 374(2016):151-163.