论优化问题的公理方法（Ⅲ）

AXIOMATIC METHOD TO OPTIMIZATION PROBLEMS (Ⅲ) Multistage Decision Problems

在建立了可交换半群｛Ω，｝上的簇Ｆ及其上的第一类优化算子＊概念之后，得到本文主要结果定理４和定理５。然后证明了首Ｎ阶优化算子，非劣算子以及摹多项式簇上的算子［１，２］都是第一类优化算子，与它们相关的优化集合簇Ｎ－ＴＨ，ＰＡＲＥＴＯ及ＥＳＳＥＮＣＥ都是广义优选半域。让它们赋值于多阶段有向图上。

After giving concepts of set family Fover commutative semi group {Ω,} and optimizing operator * of the first category over F, it results Theorems 4 and 5. Then it proves that the optimizing operator of the first N orders, non worse operator and operator over modi polynomial family are optimizing operators of the first category. The related optimizing set families N TH, PARETO and ESSENCE are generalized optimijing semi fields. In a multistage digraph, each link associates with a jar metric which is an element taken from one of the generalized optimizing semi fields mentioned, it obeys the jar metric principle.