Optimality conditions for nonlinear optimization problems with interval-valued objective function in admissible orders

被引：7
|
作者：
Li, Lifeng [1 ,2 ]
机构：
[1] Xian Univ Posts & Telecommun, Sch Sci, Xian 710121, Peoples R China
[2] Xian Univ Posts & Telecommun, Shaanxi Key Lab Network Data Anal & Intelligent P, Xian 710121, Peoples R China
来源：
FUZZY OPTIMIZATION AND DECISION MAKING | 2023年 / 22卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Interval-valued optimization; Admissible order; Interval-valued convex functions; KKT optimality condition;
D O I：
10.1007/s10700-022-09391-2
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper addresses the optimization problems with interval-valued objective function. We consider three types of total order relationships on the interval space. For each total order relationship, we introduce interval-valued convex functions and obtain Karush-Kuhn-Tucker (KKT) optimality conditions in an optimization problem with interval-valued objective function. In order to illustrate these conditions, some numerical examples have been considered and solved.
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页码：247 / 265
页数：19
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