直觉模糊目标信息系统的正域约简

摘要

The classical rough set theory can not be directly used to reduce knowledge for intuitionistic fuzzy objective information systems .To solve this problem ,dominance relation was firstly introduced to intuitionistic fuzzy objective information systems ,and intuitionistic fuzzy rough set based on dominance relation was defined .Then ,the notion of the relative positive domain and the significance of attributes in classical rough set theory were generalized to intuitionistic fuzzy objective information systems ,while the monotone property of the relative positive domain was investigated . According to the different characteristics of attributes and the definition of positive domain reduction , the judgment theorem for positive domain reduction was given ,the positive domain reduction algorithm using attribute significance as heuristic information was presented ,and the complexity analysis of the algorithm was given .Finally , the effectiveness of the proposed algorithm was illustrated with comparative experiments .%经典的粗糙集理论对直觉模糊目标信息系统不能直接进行知识约简。为此，首先在直觉模糊目标信息系统中引入优势关系，给出了基于优势关系的直觉模糊粗糙集定义；然后将经典粗糙集理论中的相对正域、属性依赖度以及属性重要性等概念推广至直觉模糊环境中，同时证明了直觉模糊目标信息系统的相对正域具有单调性的特征；结合属性的不同特征以及正域约简的定义给出了正域约简的判定定理，从而设计出以属性重要性为启发式信息的正域约简算法，并给出算法的复杂度分析；最后通过数据实验验证了算法的有效性。