IJESM Volume 3, Issue 3 ISSN: 2320-0294 _________________________________________________________ A Quarterly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories Indexed & Listed at: Ulrich's Periodicals Directory ©, U.S.A., Open J-Gage, India as well as in Cabell’s Directories of Publishing Opportunities, U.S.A. International Journal of Engineering, Science and Mathematics http://www.ijmra.us 68 September 2014 INTERVAL VALUED INTUITIONISTIC Q-FUZZY GRAPHS R.Nagarajan * K.Balamurugan ** Abstract: 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. Keywords: Q-fuzzy set, Q-fuzzy graph, intuitionistic Q-fuzzy set, Interval-valued intuitionistic Q-fuzzy graph, Intuitionistic Q-fuzzy relation, Cartesian Product. AMS Subject classification 2000: 05C99 * Associate Professor, Department of Mathematics, J J College of Engg& Tech, Trichirappalli-09 ** Assistant Professor, M.A.M School of Engineering, Trichirappalli-105