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

被引：0
|
作者：
Lifeng Li
机构：
[1] Xi’an University of Posts and Telecommunications,School of Science
[2] Xi’an University of Posts and Telecommunications,Shaanxi Key Laboratory of Network Data Analysis and Intelligent Processing
来源：
Fuzzy Optimization and Decision Making | 2023年 / 22卷
关键词：
Interval-valued optimization; Admissible order; Interval-valued convex functions; KKT optimality condition;
D O I：
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中图分类号：
学科分类号：
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：18
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