Optimality and duality for multiobjective fractional programming involving n-set functions

被引：7

作者：

Kim, DS ^{[1
]}

Jo, CL ^{[1
]}

Lee, GM ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 224卷 / 01期

关键词：

D O I：

10.1006/jmaa.1998.5974

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a multiobjective fractional programming problem (MFP) involving vector-valued objective n-set functions in which their numerators are different from each other, but their denominators are the same. By using the concept of proper efficiency, we establish optimality conditions and duality relations for our problem (MFP) under convexity assumptions on objective and constrained functions. (C) 1998 Academic Press.

引用

页码：1 / 13

页数：13

共 19 条

[1] 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

[2] DUALITY FOR MULTIOBJECTIVE FRACTIONAL-PROGRAMMING INVOLVING N-SET FUNCTIONS [J].

BECTOR, CR ;

BHATIA, D ;

PANDEY, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 186 (03) :747-768

[3] APPLICATION OF FINITE-ELEMENT METHOD TO APPROXIMATION OF OPTIMAL DOMAIN PROBLEM - SOLUTION METHODS FOR APPROXIMATED PROBLEMS [J].

BEGIS, D ;

GLOWINSKI, R .

APPLIED MATHEMATICS AND OPTIMIZATION, 1975, 2 (02) :130-169

[4]

CEA J, 1973, CALCOLO, V10, P133

[5] 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

[6] OPTIMIZATION THEORY FOR N-SET FUNCTIONS [J].

CORLEY, HW .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 127 (01) :193-205

[7] MULTIOBJECTIVE FRACTIONAL DUALITY [J].

EGUDO, RR .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1988, 37 (03) :367-378

[8]

GEOFFRION AM, 1968, J OPTIM THEORY APPL, V22, P168

[9]

Jo C. L., 1994, Optimization, V29, P205, DOI 10.1080/02331939408843950

[10] DUALITY THEOREMS OF VECTOR-VALUED NORMAL-SET FUNCTIONS [J].

LIN, LJ .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (11-12) :165-175

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