Knowledge reduction in intuitionistic fuzzy objective information systems

The classical rough set theory can not be directly employed to reduce knowledge of intuitionistic fuzzy objective information systems. The dominance relation is introduced to intuitionistic fuzzy objective information systems, and intuitionistic fuzzy rough set model based on dominance relation was established. Then, based on the definition of distribution consistent set and assignment consistent set, the judgment theory and discernibility matrices for distribution reduction and assignment reduction were given, and knowledge reduction methods of intuitionistic fuzzy objective information systems were presented. Finally, an example was given to illustrate the effectiveness of the proposed method.