Pascoletti-Serafini scalarization and vector optimization with a variable ordering structure

被引：2

作者：

Khakrah, E. ^{[1
]}

Razani, A. ^{[1
]}

Oveisiha, M. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, POB 34149-16818, Qazvin, Iran

来源：

JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS | 2018年 / 21卷 / 06期

关键词：

Nonsmooth variational-like inequalities; Vector optimization; Variable ordering structures; Scalarization;

D O I：

10.1080/09720510.2018.1461782

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, optimality concepts for vector optimization problems with a variable ordering structure are considered. The notion of Pascoletti-Serafini scalarization for the vector optimization problems is extended. Then, some relations between optimal elements of the vector optimization problem and efficient solutions of scalarized problem are obtained. Also, by using the generalized Pascoletti-Serafini scalarization method, nonsmooth variational-like inequalities are defined and their relations with the scalarized optimization problems are studied.

引用

页码：917 / 931

页数：15

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