偏爱目标数意义下的多目标规划的有效性

Major Efficency of Multiobjective Programming under Preference Objective Number

本文引进有限维向量空间中的偏爱目标数意义下的序类.借助偏爱目标数意义下的序,定义了多目标 规划的s-较多有效解、s-弱较多有效解、s-较多最优解和s-严格较多最优解,研究了它们之间的关系,以及它们 与Pareto有效解、Pareto弱有效解、较多有效解和较多最优解等关系.

In this paper we have introduced the order class concept under preference objective number in the finite-dimension vector space. With the help of them, we have defined s-major efficient solution, s-weakly major efficient solution, s-major optimal solution and .s-strict major optimal solution of multiobjecti ve programming problem. We have also studied the relation between them and their relation with Pareto efficient solution, Pareto weakly efficient solution, major efficient solution and major optimal solution.