Scalar representations and Hausdorff continuity of solution mappings to parametric set optimization problems via set less order relations

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2024-01-26 DOI:10.1016/j.orl.2024.107071

Lam Quoc Anh , Pham Thanh Duoc , Ha Manh Linh

引用次数: 0

Abstract

This paper aims to formulate scalar representations and stability conditions for parametric set optimization problems involving set less order relations. We first introduce new nonlinear scalarization functions for sets and discuss their properties, and then they are utilized to establish scalar representations for solutions to such problems. Finally, we study sufficient conditions for the Hausdorff continuity of approximate solution mappings to the reference problems.

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参数集优化问题解映射的标量表示和豪斯多夫连续性（通过集合少阶关系

本文旨在为涉及集合少阶关系的参数集合优化问题提出标量表示和稳定性条件。我们首先介绍了新的集合非线性标量化函数并讨论了它们的性质，然后利用它们建立了此类问题解的标量表示。最后，我们研究了参考问题近似解映射的豪斯多夫连续性的充分条件。

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

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

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.