(s,k)-较多序类和多目标规划的(s,k)-较多有效性

(s, k)-Major Order and (s, k)-Major Efficiency of Multiobjective Programming

引进有限维向量空间的(s,k)-较多序类概念, 并给出它们的基本性质. 在此基础上,定义了多目标规划问题的(s,k)-较多有效解和(s,k)-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的关系.

In this paper the authors have introduced the (s,k)-major order class concept in the finite-dimension vector space and given their basic properties. On the basis of them the authors have defined (s,k)-major efficient solution and (s,k)-major optimal solution of multiobjective programming problem. Besides, the authors have studied the relation between them and their relation with Pareto efficient solution, Pareto weakly efficient solution, major efficient solution and major optimal solution.