On sufficiency and duality for a class of interval-valued programming problems

被引:80
作者
Jayswal, Anurag [1 ]
Stancu-Minasian, Ioan [2 ]
Ahmad, I. [3 ]
机构
[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Jharkhand, India
[2] Acad Romana, Inst Math Stat & Appl Math, Bucharest 050711, Romania
[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
关键词
Interval-valued programming problems; Generalized convexity; Efficiency; Sufficient optimality conditions; Duality; TUCKER OPTIMALITY CONDITIONS; OBJECTIVE FUNCTION; COEFFICIENTS; OPTIMIZATION;
D O I
10.1016/j.amc.2011.09.041
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we are concerned with an interval-valued programming problem. Sufficient optimality conditions are established under generalized convex functions for a feasible solution to be an efficient solution. Appropriate duality theorems for Mond-Weir and Wolfe type duals are discussed in order to relate the efficient solutions of primal and dual programs. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:4119 / 4127
页数:9
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