区域论域上的区域可拓集合及其关联函数

Region Extension Set and Correlation Function on the Region

在控制、信息、决策等领域中 ,由于测量、计算所带来的数据误差和信息不完全性 ,使数据不完全 ,设这些因素可能造成关联函数的量值为一区间 ,将区间可拓集合进行推广并引入了区域可拓集合的概念 ,同时引入点与区域之距、区域与区域之距的概念。在此基础上 ,定义了区域位值 ,并构造区域关于区域套的关联函数。研究了区域与区域套的位值、区域的关联函数为区间数时 ,区域论域上的可拓集合理论 ,并将可拓集合只限于实轴拓展到空间的区域。同时探讨了一类满足一定条件的区域的关联函数的构造及其性质。在可拓集合理论中 。

In the fields of cybernation, information and decision, there are inaccuracy in data and imperfection in information. Given an interval number to the value of the correlation function caused by these factors, with the introduction of the concept the region extension set, the concepts of the distance between a point and region and the distance between regions were defined. While defining a regional place value, the correlation function of a nested region is constructed. Meanwhile, it discussed a kind of extension set of region and the construction of its correlation function whose value is interval number. In conclusion, how to construct correlation function becomes an important problem in the study of region extension set.