Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at

Call for Papers for the 25th Jubilee Edition of the International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 9–10 September 2022 • Deadline for submission: 30 May 2022.

Issue:Constant intuitionistic fuzzy graphs

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
Title of paper: Constant intuitionistic fuzzy graphs
M. G. Karunambigai
Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India
Parvathi Rangasamy
Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
R. Buvaneswari
Department of Mathematics, Sankara College of Science and Commerce, Coimbatore - 641 035, Tamilnadu, India
Published in: "Notes on IFS", Volume 17 (2010) Number 1, pages 37—47
Download: Download-icon.png PDF (111  Kb, Info)
Abstract: In this paper, Constant Intuitionistic Fuzzy Graphs (IFGs), and totally constant IFGs are introduced. Necessary and sufficient conditions under which they are equivalent is studied here. A characterization of constant IFGs on a cycle is given. Some properties of constant IFGs with suitable illustrations are also discussed.
Keywords: µ-degree of a vertex, γ-degree of a vertex, degree of a vertex, constant IFG, totally constant IFG
  1. K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, New York (1999).
  2. J. A. Bondy and U. S. R. Murthy, Graph Theory with Applications, American Elesevier Publishing Co., New York (1976).
  3. E. J. Cockayne and S. T. Hedetnieme,Towards a Theory of Domination in Graphs, Networks 7 (1977), 247-261.
  4. M. G. Karunambigai and R. Parvathi, Intuitionistic Fuzzy Graphs, Proceedings of 9th Fuzzy Days International Conference on Computational Intelligence, Advances in soft computing: Computational Intelligence,Theory and Applications, Springer-Verlag, 20 (2006), 139-150.
  5. Mordeson N. John and Nair S. Premchand, Fuzzy Graphs and Fuzzy Hypergraphs, Physica-Verlag, New York (2000).
  6. R. Parvathi, M. G. Karunambigai and K. Atanassov, Operations on Intuitionistic Fuzzy Graphs, Proceedings of IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), August 2009, 1396-1401.
  7. A. Somasundram and S. Somasundaram, Domination in Fuzzy Graphs-I, Pattern Recognition Letters, 19 (1998), 787-791.
  8. Yan Luo and Changrui Yu, A Fuzzy Optimization Method for Multi-Criteria Decision Making Problem Based on the Inclusion Degrees of Intuitionistic Fuzzy Sets, Journal of Information and Computing Science, 3(2) (2008), 146-152.
  9. L. A. Zadeh, Fuzzy Sets, Information Sciences, 8 (1965), 338-353.
  10. A.Nagoor Gani and K.Radha, On Regular Fuzzy Graphs, Journal of Physical Sciences, (12) (2008), 33-140.
  11. A.Nagoor Gani and S.Shajitha Begum, Degree,Order and Size in Intuitionistic Fuzzy Graphs, International Journal of Algorithms, Computing and Mathematics, (3)3 (2010).

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.