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多目标优化问题统一解的加权Tchebycheff标量化

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为研究多目标优化问题(C，ε)-型、E-型统一解的标量化性质，利用Bowman等人提出的加权Tchebycheff标量化方法建立多目标优化问题(C，ε)-弱有效解和E-弱有效解的标量化结果。进一步，建立基于加权Tchebycheff标量化方法多目标优化问题(C，ε)-有效解和E-有效解的标量化结果。通过调整标量化模型参数范围得到了多目标优化问题(C，ε)-(弱)有效解、E-(弱)有效解的一些加权Tchebycheff标量化结果，为求解多目标优化问题的算法设计提供了理论基础。
Weighted Tchebycheff Scalarization for Unified Solutions of Multi-Objective Optimization Problems
The scalarization properties of(C,ε)-type and E-type unified solutions for multi-objective optimization problems are studied.First,the weighted Tchebycheff scalarization method proposed by Bowman et al.is employed to establish the scalarization results of(C,ε)-weakly efficient solutions and E-weakly efficient solutions for multi-objective optimization problems.Furthermore,based on the weighted Tchebycheff scalarization method,the scalarization results of(C,ε)-efficient solutions and E-efficient solutions for multi-objective optimization problems are established.Some weighted Tchebycheff scalarization results of(C,ε)-(weakly)efficient solutions and E-(weakly)efficient solutions for multi-objective optimization problems are obtained by adjusting parameters range of the scalarization model.The obtained scalarization results are an extension of some existing work and provide a theoretical basis for algorithm design for solving multi-objective optimization problems.

multi-objective optimization problems(C,ε)-(weakly)efficient solutionsE-(weakly)efficient solutionsweighted Tchebycheff scalarization method

冯攀、夏远梅、赵克全

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重庆师范大学数学科学学院,重庆 401331

多目标优化问题 (C,ε)-(弱)有效解 E-(弱)有效解 加权Tchebycheff标量化方法

国家自然科学基金——重大项目国家自然科学基金——面上项目国家自然科学基金——青年科学基金项目重庆市高校创新研究群体项目重庆市自然科学基金面上项目重庆市自然科学基金面上项目重庆市教育委员会科学技术研究青年项目

119910241217106312101096CXQT20014cstc2022ycjhbgzxm0114cstc2021jcyjmsxmX0280KJQN202100521

2024

10.11721/cqnuj20240213

重庆师范大学学报(自然科学版)
重庆师范大学

重庆师范大学学报(自然科学版)

CSTPCD北大核心
影响因子：0.652
ISSN：1672-6693
年,卷(期)：2024.41(2)
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