Sufficiency and duality for optimization problems involving interval-valued invex functions in parametric form

被引：12
|
作者：
Jayswal, Anurag [1 ]
Stancu-Minasian, Ioan [2 ]
Banerjee, Jonaki [1 ]
Stancu, Andreea Madalina [2 ]
机构：
[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Jharkhand, India
[2] Romanian Acad, Inst Math Stat & Appl Math, Bucharest 050711, Romania
来源：
OPERATIONAL RESEARCH | 2015年 / 15卷 / 01期
关键词：
Interval-valued programming; Invexity; Efficiency; Sufficient optimality conditions; Duality; OPTIMALITY;
D O I：
10.1007/s12351-015-0172-2
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we introduce the concepts of invexity, quasi-invexity and pseudo-invexity for interval-valued functions in parametric form. Sufficient optimality conditions for a class of interval-valued optimization problems are derived for feasible solution to be an efficient solution under proposed invexity assumptions. Furthermore, we formulate Wolfe and Mond-Weir type duals and establish appropriate duality theorems in order to relate the efficient solutions of primal and dual programs. Some examples are also constructed to illustrate the proposed invexity and weak duality theorems.
引用
收藏
页码：137 / 161
页数：25
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