多目标规划αk-较多有效解类的若干性质

Some Properties of The class of αk-Major Efficient Solutions for Multiobjective Programming

在［１］中，作者提出多目标规划的较多有效解和较多最优解概念，并研究了它们的基本性质．文［３］则讨论了ｋ－较多最优解的若干性质．文［４］利用较多序类进一步引进多目标规划问题的αｋ－较多有效解，并证明了这类解的最优性必要条件．本文再给出多目标规划问题的αｋ－较多最优解的概念，并讨论了多目标规划αｋ－较多有效解和αｋ－较多最优解的若干重要性质．

In the book [1], writer introduces the concepts of αk-major efficient solutions and αk-major optimal solutions for multiobjective programming, and researches their basic properties. The paper[3] discuss some of properties. The paper[4] makes further introduction of αk-major efficient solutions or multiobjective optimal problem by using the major order class, and proves this optimal necessary condition of this solution class. The paper again introduces the concepts of αk-major optimal solution, and discuss some important properties of αk-major efficient solutions and αk-major optimal solutions for multiobjective programming.