OPTIMALITY CONDITIONS AND DUALITY RESULTS FOR NONSMOOTH VECTOR OPTIMIZATION PROBLEMS WITH THE MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTION

被引：29

作者：

Antczak, Tadeusz ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland

来源：

ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 04期

关键词：

nonsmooth multiobjective programming problem with the multiple interval objective function; Fritz John necessary optimality conditions; Karush-Kuhn-Tucker necessary optimality conditions; (weakly) LU-efficient solution; Mond-Weir duality; LINEAR-PROGRAMMING PROBLEMS; COEFFICIENTS;

D O I：

10.1016/S0252-9602(17)30062-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a (weakly) LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a (weakly) LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval objective function are convex.

引用

页码：1133 / 1150

页数：18

共 24 条

[1]

Alefeld G., 1983, Introduction to Interval Computation

[2]

Antczak T., 2014, J ADV MATH STUD, V7, P127

[3] Efficient solution of interval optimization problem [J].

Bhurjee, A. K. ;

Panda, G. .

MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2012, 76 (03) :273-288

[4] LINEAR MULTIPLE OBJECTIVE PROBLEMS WITH INTERVAL-COEFFICIENTS [J].

BITRAN, GR .

MANAGEMENT SCIENCE, 1980, 26 (07) :694-706

[5] Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative [J].

Chalco-Cano, Y. ;

Lodwick, W. A. ;

Rufian-Lizana, A. .

FUZZY OPTIMIZATION AND DECISION MAKING, 2013, 12 (03) :305-322

[6] Multiobjective programming in optimization of interval objective functions - A generalized approach [J].

Chanas, S ;

Kuchta, D .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1996, 94 (03) :594-598

[7] ALGORITHM FOR SOLVING INTERVAL LINEAR-PROGRAMMING PROBLEMS [J].

CHARNES, A ;

GRANOT, F ;

PHILLIPS, F .

OPERATIONS RESEARCH, 1977, 25 (04) :688-695

[8]

Clarke F. H., 1983, OPTIMIZATION NONSMOO

[9]

Hosseinzade Elham, 2011, Journal of Applied Mathematics and Informatics, V29, P1157

[10] MULTIOBJECTIVE PROGRAMMING IN OPTIMIZATION OF THE INTERVAL OBJECTIVE FUNCTION [J].

ISHIBUCHI, H ;

TANAKA, H .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1990, 48 (02) :219-225

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