Distance Measurement on Intuitionistic Fuzzy Granular Structure Sets

This paper analyzes the insufficiency of the intuitionistic fuzzy information granularity that is employed to measure the granulation degree of an intuitionistic fuzzy granular structure. To address this insufficiency, the distance of intuitionistic fuzzy granular structure is presented to measure the difference between two intuitionistic fuzzy granular structures in the same universe. By demonstrating the theorem and analyzing the examples, the proposed distance of intuitionistic fuzzy granular structure is proven to be rational. Finally, by using the partial order relation, properties of intuitionistic fuzzy granular structure are investigated.