A characterization of pseudoinvexity in multiobjective programming

被引：11

作者：

Arana-Jimenez, M. ^{[1
]}

Rufian-Liana, A. ^{[2
]}

Osuna-Gomez, R. ^{[2
]}

Ruiz-Garzon, G. ^{[3
]}

机构：

[1] Univ Cadiz, Escuela Super Ingn, Dept Estadist & Invest Operat, Cadiz 11003, Spain

[2] Univ Seville, Fac Matemat, Dept Estadist & Invest Operat, E-41012 Seville, Spain

[3] Univ Cadiz, Fac Ciencias, Dept Estadist & Invest Operat, Cadiz, Spain

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 11-12期

关键词：

Multiobjective programming; Invexity; Pseudoinvexity; Efficient solution; Weakly efficient solution; Vector critical point;

D O I：

10.1016/j.mcm.2008.05.054

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we introduce new classes of vector functions which generalize the class of scalar invex functions. We prove that these new classes of vector functions are characterized in such a way that every vector critical point is an efficient solution of a Multiobjective Programming Problem. We establish relationships between these new classes of functions and others used in the study of efficient and weakly efficient solutions. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1719 / 1723

页数：5

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