Explicitly B-preinvex fuzzy mappings

被引:4
作者
Mishra, SK
Wang, SY
Lai, KK
机构
[1] City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China
[2] Govind 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
关键词
fuzzy number; convex fuzzy mapping; B-preinvex fuzzy mapping; explicitly B-preinvex fuzzy mapping; fuzzy optimization;
D O I
10.1080/00207160500069912
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce the concept of an explicitly B-preinvex fuzzy mapping. Some properties of explicitly B-preinvex fuzzy mappings are also established. Further, various relationships between explicit B-preinvex fuzzy mappings and B-preinvex fuzzy mappings are established.
引用
收藏
页码:39 / 47
页数:9
相关论文
共 22 条
[1]   ON FUZZY CONVEXITY AND PARAMETRIC FUZZY OPTIMIZATION [J].
AMMAR, E ;
METZ, J .
FUZZY SETS AND SYSTEMS, 1992, 49 (02) :135-141
[2]   Some properties of convex fuzzy sets and convex fuzzy cones [J].
Ammar, EE .
FUZZY SETS AND SYSTEMS, 1999, 106 (03) :381-386
[3]  
Diamond P., 1994, Metric Spaces of Fuzzy Sets: Theory and Applications
[4]   ELEMENTARY FUZZY CALCULUS [J].
GOETSCHEL, R ;
VOXMAN, W .
FUZZY SETS AND SYSTEMS, 1986, 18 (01) :31-43
[5]   FUZZY VECTOR-SPACES AND FUZZY TOPOLOGICAL VECTOR-SPACES [J].
KATSARAS, AK ;
LIU, DB .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 58 (01) :135-146
[6]  
Li DF, 1998, FUZZY SET SYST, V94, P253, DOI 10.1016/S0165-0114(96)00228-X
[7]   SOME PROPERTIES OF CONVEX FUZZY-SETS [J].
LIU, YM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 111 (01) :119-129
[8]   CONVEX FUZZY-SETS [J].
LOWEN, R .
FUZZY SETS AND SYSTEMS, 1980, 3 (03) :291-310
[9]  
Lowen R., 1996, FUZZY SET THEORY BAS
[10]   ON INVEX SETS AND PREINVEX FUNCTIONS [J].
MOHAN, SR ;
NEOGY, SK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (03) :901-908