On interval-valued nonlinear programming problems

被引：132

作者：

Wu, Hsien-Chung ^{[1
]}

机构：

[1] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 802, Taiwan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 338卷 / 01期

关键词：

Karush-Kuhn-Tucker optimality conditions; Wolfe's primal and dual problems; duality theorems;

D O I：

10.1016/j.jmaa.2007.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Wolfe's duality theorems in interval-valued optimization problems are derived in this paper. Four kinds of interval-valued optimization problems are formulated. The Karush-Kuhn-Tucker optimality conditions for interval-valued optimization problems are derived for the purpose of proving the strong duality theorems. The concept of having no duality gap in weak and strong sense are also introduced, and the strong duality theorems in weak and strong sense are then derived naturally. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：299 / 316

页数：18

共 20 条

[1]

Alefeld G., 1983, INTRO INTERVAL COMPU

[2]

[Anonymous], 1979, METHOD APPL INTERVAL

[3]

[Anonymous], 1972, PROBABILISTIC PROGRA

[4]

Bazarra M.S., 1993, Nonlinear programming

[5]

Birge J.R., 1997, INTRO STOCHASTIC PRO

[6] EXACT SOLUTIONS OF INEXACT LINEAR PROGRAMS [J].

FALK, JE .

OPERATIONS RESEARCH, 1976, 24 (04) :783-787

[7]

Kall P., 1976, Stochastic linear programming

[8]

Moore RE., 1966, Interval Analysis

[9] Some developments in general variational inequalities [J].

Noor, MA .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (01) :199-277

[10]

NOOR MA, 1997, NZ J MATH, V26, P53

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