节域为负无穷区间和全体实数域的初等关联函数构造  

Method to construct the elementary dependent function whose discussion fields are negative infinite interval and whole real field

作　　者：李桥兴[1] 

机构地区：[1]兰州大学管理学院,兰州730000

出　　处：《系统工程理论与实践》2012年第12期2740-2744,共5页Systems Engineering-Theory & Practice

基　　金：兰州大学中央高校基本科研业务费专项资金(11LZUJBWZY056)

摘　　要：关联函数是可拓集合的核心,它的构造方法是可拓学的重要研究内容.在定义点与负无穷区间和点与全体实数域之距的基础上,构造了正域为有限区间和节域分别为负无穷区间和全体实数域的位值公式及相应的初等关联函数并得到若干性质,使可拓学在定量化描述各领域矛盾问题时具有更宽的适用范围.The dependent function is the core of extension set and it is an important work of extension theory. On the basis of the extension distance between one point and negative infinite interval and the one between it and whole real field, we constructed the corresponding formulas of location value as well as the elementary dependent functions, and got some properties. The functions make extenics be more application fields in quantitatively describing the paradoxical problems.

关 键 词：可拓学 关联函数 位值 侧距 区间套 

分 类 号：N945.16[自然科学总论—系统科学]