OPTIMALITY CONDITIONS AND DUALITY IN NONDIFFERENTIABLE INTERVAL-VALUED PROGRAMMING

被引：32
作者：
Sun, Yuhua [1 ,2 ]
Wang, Laisheng [2 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
[2] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2013年 / 9卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Interval-valued programming; necessary optimality conditions; sufficient optimality conditions; duality; interval mathematics; OPTIMIZATION PROBLEMS; CONSTRAINTS;
D O I：
10.3934/jimo.2013.9.131
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we define the concepts of LU optimal solution to interval-valued programming problem. By considering the concepts of L U optimal solution, the Fritz John type and Kuhn-Tucker type necessary and sufficient optimality conditions for nondifferentiable interval programming are derived. Further, we establish the dual problem and prove the duality theorems.
引用
收藏
页码：131 / 142
页数：12
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