Efficiency Conditions and Duality for a Class of Multiobjective Fractional Programming Problems

被引：0
|
作者：
Zhi-An Liang
Hong-Xuan Huang
Panos M. Pardalos
机构：
[1] Shanghai University of Finance and Economics,Department of Applied Mathematics
[2] Tsinghua University,Department of Mathematical Sciences
[3] University of Florida,Department of Industrial and Systems Engineering
来源：
Journal of Global Optimization | 2003年 / 27卷
关键词：
duality; efficiency condition; efficient solution; (F; α; ρ; d)-convex functions; Multiobjective fractional programming problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A class of constrained multiobjective fractional programming problems is considered from a viewpoint of the generalized convexity. Some basic concepts about the generalized convexity of functions, including a unified formulation of generalized convexity, are presented. Based upon the concept of the generalized convexity, efficiency conditions and duality for a class of multiobjective fractional programming problems are obtained. For three types of duals of the multiobjective fractional programming problem, the corresponding duality theorems are also established.
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页码：447 / 471
页数：24
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