Abstract:

The intuitionistic fuzzy information system (IFIS) is further investigated from the point of multi-granulation. The optimistic model as well as the pessimistic models are proposed by dominance relation. Then not only their properties are researched but also the differences and relationships between single granulation and multi-granulation model are discussed. Moreover, the certainty factor of the decision rule and the acquired method are then given. The attribute importance degree in the multi-granulation intuitionistic fuzzy decision system is defined and applied in multi-expert decision to make up for the deficiency of the single granulation model. Finally, a numerical example is given to demonstrate the correctness and effectiveness of the proposed method.