向量优化中广义E-Benson真有效解的性质研究

Characterizations of Generalized E-Benson Proper Efficient Solutions in Vector Optimization

【目的】为了将向量优化问题的广义E-Benson真有效解的一些性质推广到拟内部空间。【方法】利用改进集和拟内部等工具在适当的广义凸性条件下进行了研究。【结果】建立了广义E-Benson真有效解的线性标量化结果。【结论】为研究向量优化问题的解的性质提供了新的方法。

[Purposes]In order to generalize some properties of generalized E-Benson proper efficient solutions of vector optimization problems to quasi interior spaces. [Methods]Under proper generalized convexity conditions,some properties of generalized E-Benson proper efficient solutions of vector optimization problems are studied by means of improvement sets and quasi interior.[Findings]Some linear scalar results of generalized E-Benson proper efficient solutions are established. [Conclusions]It provides a new method for studying the properties of solutions of vector optimization problems.