优势区间直觉模糊粗糙模型及应用  

Dominance interval-valued intuitionistic fuzzy-rough set model and its application

作　　者：黄兵 

机构地区：[1]南京审计学院信息科学学院,南京211185

出　　处：《南京大学学报（自然科学版）》2012年第4期367-375,共9页Journal of Nanjing University（Natural Science）

基　　金：国家自然科学基金(61170105);江苏省自然科学基金(BK2009395);江苏高校优势学科建设工程

摘　　要：针对信息系统安全审计风险判断知识获取的困难,考虑条件属性取值为优势区间直觉模糊数、分类结果精确的优势规则获取问题.引入一种区间直觉模糊数的大小排序方式,构建区间直觉模糊条件属性取值确定的对象邻域;通过比较对象邻域与决策类的关系建立决策类及对象的上下近似;根据对象的上下近似和分类结果确定对象间的区分关系,利用分辨矩阵给出知识约简和规则提取算法最后将优势区间直觉模糊粗糙模型应用于信息系统审计风险判断,得到合理的审计风险判断规则.Although the rough set and interval valued intuitionistic fuzzy set both capture the same notion, imprecision, studies on the combination of these two theories are rare. In recent studies, rules are acquired in a decision system where condition attributes are taken as interval intuitionistic fuzzy values and decision attributes are crisp ones. To address the issue, this paper makes a contribution of the following aspects. First, a sorting method is introduced to construct the neighborhood of every object that is determined by interval-valued intuitionistic fuzzy values of condition attributes. Moreover, an original notion, dominance interval intuitionistic Fuzzy decision systems, is proposed in this paper. Second, a lower/upper approximation set of an object and crisp classes that are confirmed by decision attributes is ascertained by comparing the relation between them. Third, making use of the discernibility matrix and discernibility function, a lower approximation reduction and rule extraction algorithm is devised to acquire knowledge from existing dominance interval-valued intuitionistic fuzzy information systems. Finally, the presented model and algorithms are applied to audit risk judgment on information system security auditing, and some reasonable risk judgment rules are obtained.

关 键 词：区间直觉模糊决策系统 粗糙集 约简 信息系统安全审计 风险判断 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]