*Associate Professor, Department of Mathematics, J J College of Engg & Tech, Trichirappalli-09
**Assistant Professor, M.A.M School of Engineering, Trichirappalli-105
AMS Subject classification 2000: 05C99
In this paper, we introduce the notion of interval –valued intuitionistic Q-fuzzy graphs and describe various methods of their construction. We also present the concept of interval-valued intuitionistic Q-fuzzy regular graphs.
Q-fuzzy set, Q-fuzzy graph, intuitionistic Q-fuzzy set, Interval-valued intuitionistic Q-fuzzy graph, Intuitionistic Q-fuzzy relation, Cartesian Product