On preinvex interval-valued functions and unconstrained interval-valued optimization problems

IF 1.8 4区管理学 Q3 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Rairo-Operations Research Pub Date : 2023-09-05 DOI:10.1051/ro/2023133

Fangfang Shi, G. Ye, Wei Liu, Dafang Zhao

引用次数: 0

Abstract

The main objective of this paper is to investigate the generalized convexity of interval-valued functions under the total order relation and apply it to a class of unconstrained interval-valued optimization problems. For this purpose, we present the new definition of preinvex interval-valued functions and obtain its several fascinating characterizations. Then, we introduce the $\preceq_{cw}$-semicontinuity and discuss its relationship with preinvex interval-valued functions. As applications related to preinvex interval-valued functions, we study a class of unconstrained interval-valued optimization problems and discuss the existence theorem of its optimal solution.

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预反演区间值函数与无约束区间值优化问题

本文的主要目的是研究全阶关系下区间值函数的广义凸性，并将其应用于一类无约束区间值优化问题。为此，我们给出了预逆区间值函数的新定义，并得到了它的几个有趣的表征。然后，我们引入了$\ precq_ {cw}$-半连续性，并讨论了它与预逆区间值函数的关系。作为预凸区间值函数的应用，研究了一类无约束区间值优化问题，并讨论了其最优解的存在性定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Rairo-Operations Research 管理科学-运筹学与管理科学

CiteScore

3.60

自引率

22.20%

发文量

206

审稿时长

>12 weeks

期刊介绍： RAIRO-Operations Research is an international journal devoted to high-level pure and applied research on all aspects of operations research. All papers published in RAIRO-Operations Research are critically refereed according to international standards. Any paper will either be accepted (possibly with minor revisions) either submitted to another evaluation (after a major revision) or rejected. Every effort will be made by the Editorial Board to ensure a first answer concerning a submitted paper within three months, and a final decision in a period of time not exceeding six months.