集对属性软计算方法及应用

Set Pair Attributes Soft Computing Method and its Application

集对分析方法的关键是计算联系度,集对关联函数的构建为刻画集合之间的关系、确定联系度表达式提供了一种新的软计算方法。首先,基于粗糙集定义了属性关联函数,探讨了其基本性质;其次,定义了集对关联函数,证明了当集对中任一集合扩充为整个论域时,集对关联函数退化为属性关联函数,进一步探讨了集对关联函数的基本性质;再次,基于属性集与元素集的交并运算给出了集对关联函数的合成运算及运算律;最后,利用实例说明了集对属性软计算方法的可行性与实用性。

The key to set pair analysis method is to compute the connection degree.The structure of set pair correlation function provides a new soft computing method of describing the relationship between the collections and determining the connection degree express formula.Firstly,based on rough set,the attribute correlation function was defined and the basic properties were discussed.Secondly,the set pair correlation function was defined and it was proved that the set pair correlation degrades into the attribute correlation function when any collection of set pair is expended to the whole region.The basic properties of the set pair correlation function were discussed.What＇s more,the synthetic operations and operation laws were given.Finally,the feasibility and practicability of the set pair of soft computing method about attributes were illustrated through a case study.