SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS

doi:10.1007/s10473-026-0121-6

数学物理学报(英文版) ›› 2026, Vol. 46 ›› Issue (1): 383-406.doi: 10.1007/s10473-026-0121-6

SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS

Anurag JAYSWAL, Ajeet KUMAR^*

Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India

收稿日期:2024-10-04 修回日期:2025-01-31 出版日期:2026-01-25 发布日期:2026-05-22

SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS

Anurag JAYSWAL, Ajeet KUMAR^*

Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India

Received:2024-10-04 Revised:2025-01-31 Online:2026-01-25 Published:2026-05-22
Contact: * Ajeet KUMAR,E-mail: 22dr0039@iitism.ac.in; ajeetjionee@gmail.com
About author:Anurag JAYSWAL, E-mail: anurag@iitism.ac.in; anurag_jais123@yahoo.com
Supported by:
MATRICES, SERB-DST, New Delhi, India (No. MTR / 2021 /000002).

摘要/Abstract

摘要： In this paper, we consider a robust semi-infinite interval-valued optimization problem with inequality constraints having an uncertain parameter. The parametric representation of the aforesaid problem is also considered in order to derive the necessary and sufficient optimality conditions. Furthermore, we formulate a mixed-type dual problem and derive duality results which associate the robust weak efficient solution of the primal and its dual problems. Several examples are given to illustrate the results in the manuscript.

关键词: semi-infinite programming, interval-valued programming, robust weak efficient solution, optimality conditions, duality

Abstract: In this paper, we consider a robust semi-infinite interval-valued optimization problem with inequality constraints having an uncertain parameter. The parametric representation of the aforesaid problem is also considered in order to derive the necessary and sufficient optimality conditions. Furthermore, we formulate a mixed-type dual problem and derive duality results which associate the robust weak efficient solution of the primal and its dual problems. Several examples are given to illustrate the results in the manuscript.

Key words: semi-infinite programming, interval-valued programming, robust weak efficient solution, optimality conditions, duality

中图分类号:

90C30

Anurag JAYSWAL, Ajeet KUMAR^*. SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS[J]. 数学物理学报(英文版), 2026, 46(1): 383-406.

Anurag JAYSWAL, Ajeet KUMAR^*. SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS[J]. Acta mathematica scientia,Series B, 2026, 46(1): 383-406.

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SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS

SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS

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