Intuitionistic fuzzy social network position and role analysis

In social network analysis, the attribute values of actors and their relationship values are only expressed as 0 and 1. In reality, there are both cooperation and competition among actors, and their attribute values and relationship values are more complicated. The intuitionistic fuzzy number is used to construct the attribute values and the relationship values between actors in social network. The concept of position, role and equivalence in intuitionistic fuzzy social network is redefined. The position and role analysis method of intuitionistic fuzzy social network is therefore proposed. Finally, a numerical case is used to demonstrate the efficiency and feasibility of the theory in this paper.