Concept representation in intuitionistic fuzzy social relational networks

In this paper, we propose intuitionistic fuzzy social graphs to model intuitionistic fuzzy social relational networks which contain positive relationships and negative relationships between actors. We also show some properties of intuitionistic fuzzy relations between vertices in intuitionistic fuzzy social graphs. Then, for further analysis of intuitionistic fuzzy social relational networks, we propose several concepts, i.e. the concept of the strength of connectedness between vertices, having at most k edges between them, and the concept of the intuitionistic fuzzy level-cut of the strength of connectedness between vertices. Finally, we propose the concept of intuitionistic fuzzy clusters by the paradigm of computing with words.