Optimality and duality for a multi-objective programming problem involving generalized d-type-I and related n-set functions

被引:7
作者
Mishra, S. K.
Wang, S. Y.
Lai, K. K.
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, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[4] Hunan Univ, Coll Business Adm, Changsha, Peoples R China
基金
中国国家自然科学基金;
关键词
multi-objective programming; n-set functions; optimality; duality; generalized convexity;
D O I
10.1016/j.ejor.2005.02.062
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we introduce several generalized convexity for a real-valued set function and establish optimality and duality results for a multi-objective programming problem involving generalized d-type-I and related n-set functions. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:405 / 418
页数:14
相关论文
共 35 条
[1]   Generalized invexity and duality in multiobjective programming problems [J].
Aghezzaf, B ;
Hachimi, M .
JOURNAL OF GLOBAL OPTIMIZATION, 2000, 18 (01) :91-101
[2]   Duality for multiobjective B-vex programming involving n-set functions [J].
Bector, CR ;
Singh, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (03) :701-726
[3]   A note on fractional minmax programs containing n-set functions [J].
Bhatia, D ;
Kumar, P .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 215 (01) :283-292
[4]   ON MULTIPLE OBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS [J].
CHOU, JH ;
HSIA, WS ;
LEE, TY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 105 (02) :383-394
[5]   EPIGRAPHS OF CONVEX SET-FUNCTIONS [J].
CHOU, JH ;
HSIA, WS ;
LEE, TY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 118 (01) :247-254
[6]   OPTIMIZATION THEORY FOR N-SET FUNCTIONS [J].
CORLEY, HW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 127 (01) :193-205
[7]   PROPER D-SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS [J].
HSIA, WS ;
LEE, TY .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 53 (02) :247-258
[8]   ON GENERALIZED CONVEX MATHEMATICAL-PROGRAMMING [J].
JEYAKUMAR, V ;
MOND, B .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1992, 34 :43-53
[9]   OPTIMALITY CRITERIA AND DUALITY IN MULTIPLE-OBJECTIVE OPTIMIZATION INVOLVING GENERALIZED INVEXITY [J].
KAUL, RN ;
SUNEJA, SK ;
SRIVASTAVA, MK .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (03) :465-482
[10]   Optimality and duality for multiobjective fractional programming involving n-set functions [J].
Kim, DS ;
Jo, CL ;
Lee, GM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 224 (01) :1-13