Second-Order Optimality Conditions for Interval-Valued Optimization Problem

被引：0
|
作者：
Rastogi, Sachin [1 ]
Iqbal, Akhlad [2 ]
机构：
[1] Mahatma Jyotiba Phule Rohilkhand Univ, Hindu Coll, Dept Math, Bareilly 243003, UP, India
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, UP, India
来源：
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH | 2024年
关键词：
Second-order optimality conditions; LU and C-R-type order relation; square slack variable method; KKT optimality conditions;
D O I：
10.1142/S0217595924500209
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 discuss the second-order KKT-type optimality conditions for interval-valued optimization problem. To derive second-order necessary and sufficient conditions, we use two different methodologies: square slack variable method and the theory of geometric cone optimality conditions for interval-valued objective functions. Furthermore, we discuss two types of order relations LU and center-radius (C-R). To show the validity of our results, we have demonstrated some nontriv ial examples.
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页数：15
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