Positive domain reduction in intuitionistic fuzzy objective information systems

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.