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Semistrictly preinvex fuzzy mappings
Mishra, SK; Wang, SY; Lai, KK
2004-11-01
Source PublicationINTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN0020-7160
Volume81Issue:11Pages:1319-1328
AbstractIn 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.
Keywordfuzzy number convex fuzzy mapping preinvex fuzzy mapping prequasi-invex fuzzy mapping invex fuzzy mapping fuzzy optimization
DOI10.1080/00207160412331284079
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000224978200002
PublisherTAYLOR & FRANCIS LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19239
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLai, KK
Affiliation1.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
Recommended Citation
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.
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