可拓集无量纲一维关联函数

Dimensionless One-dimensional Dependent Function in Extension Set

随着可拓学在各领域特别是管理领域应用的日益广泛,关联函数理论成为管理科学和管理工程重要的定量研究方法之一。在定义点与各类型区间的距和侧距、点与各类型区间套的位置值等概念基础上,提出无量纲化的一般关联函数基本公式和性质,统一了初等关联函数和简单关联函数的形式,便于各领域的研究人员正确掌握关联函数的应用,为进一步研究多维关联函数和三区间套关联函数内容提供理论基础。

As Extenics was generally applied in many fields especially management,dependent function theory has been an important quantitative method in management science and engineering.On the basis of the definitions both of distance and side-distance between the point and all kinds of intervals and of position value between the point and the various types of nested intervals,we propose the basic formulas and properties of general dependent functions which are dimensionless,and uniform the simple and elementary dependent functions,which can be correctly applied to study other fields and help to provide the theoretical basics for studying the multi-dimensional functions and the dependent functions with three-nested intervals.