Semistrictly preinvex fuzzy mappings

doi:10.1080/00207160412331284079

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	Semistrictly preinvex fuzzy mappings
	Mishra, SK ; Wang, SY ; Lai, KK
	2004-11-01
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	81 期号:11 页码:1319-1328
摘要	In this paper, we introduce the concepts of a strictly preinvex fuzzy mapping, a semistrictly preinvex fuzzy mapping, a strictly prequasi-invex fuzzy mapping and a semistrictly prequasi-invex fuzzy mapping. Some properties of these mappings and relations among them are studied. A few interesting theorems are proved, including that: (1) a strictly prequasi-invex fuzzy mapping has at most one global minimum point; (2) the solution set is invex if the fuzzy mapping is prequasi-invex and (3) prequasi-invex fuzzy mappings satisfy most of the basic properties of the preinvex fuzzy mappings.
关键词	fuzzy number convex fuzzy mapping preinvex fuzzy mapping prequasi-invex fuzzy mapping invex fuzzy mapping fuzzy optimization
DOI	10.1080/00207160412331284079
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000224978200002
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19239
专题	中国科学院数学与系统科学研究院
通讯作者	Lai, KK
作者单位	1.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China 2.Bovind Ballabh Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & Comp Sci, Pantnagar 263145, Uttar Pradesh, India 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Mishra, SK,Wang, SY,Lai, KK. Semistrictly preinvex fuzzy mappings[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2004,81(11):1319-1328.
APA	Mishra, SK,Wang, SY,&Lai, KK.(2004).Semistrictly preinvex fuzzy mappings.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,81(11),1319-1328.
MLA	Mishra, SK,et al."Semistrictly preinvex fuzzy mappings".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 81.11(2004):1319-1328.