论袋映射及其结构

On Bag Mappings and Their Structures

本文论述了袋映射的缘起，给出了袋映射的对称函数列表示法，并在此基础上证明了Ｖａｌｕｅｆｕｎｃｔｉｏｎａｌ的袋映射可用一个一元函数和一个二元对称函数来表达，从而进一步明确了这类袋映射的构造。

In this paper we first denote a bag mapping F:Ux→X by means of a series of symmetric funtions{fn:Xn→X}1∞ and a constant θin X,and then characterize a value functional bag mapping thoroughly by a tripple[θ,f1,f2]satisfying certain sufficient and necessary conditions.