Scalarization for characterization of approximate strong/weak/proper efficiency in multi-objective optimization

作     者：Ghaznavi-Ghosoni, B. A. Khorram, E. Soleimani-damaneh, M. 

作者机构：Amirkabir Univ Technol Fac Math & Comp Sci Tehran 15914 Iran Univ Tehran Coll Sci Sch Math Stat & Comp Sci Tehran Iran 

出 版 物：《OPTIMIZATION》 (最优化)

年 卷 期：2013年第62卷第6期

页      面：703-720页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

主　　题：multi-objective programming E-(strong weak proper) efficiency approximation methods scalarization techniques 

摘      要：In this article, approximate solutions of multi-objective optimization problems are analysed. The notion of approximate solution suggested by Kutateladze is dealt with, and, utilizing different scalarization approaches, some necessary and sufficient conditions for E-(strong, weak, proper) efficiency are provided. Almost all of the provided results are established without any convexity assumption.