Issue:Arcs in intuitionistic fuzzy graphs

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Title of paper: Arcs in intuitionistic fuzzy graphs Author(s): M. G. Karunambigai Department of Mathematics, Sri Vasavi College, Erode – 638 316, Tamilnadu, India gkaruns@yahoo.co.in Parvathi Rangasamy Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamilnadu, India paarvathis@rediffmail.com R. Buvaneswari Department of Mathematics, Sankara College of Science and Commerce, Coimbatore – 641 035, Tamilnadu, India buvanaamohan@gmail.com Presented at: 8th IWIFS, Sofia, 9 October 2012 Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 4, pages 48—58 Download:  PDF (113  Kb, File info) Abstract: The structure of an Intuitionistic Fuzzy Graph (IFG) depends mainly on its arcs, as in crisp graphs. In an IFG, the arcs are classified into α-strong, β-strong and δ-weak, based on its strength. These arcs are used to study the structure of complete IFG and constant IFG. Their properties have also been studied. Keywords: Strong arc, Weakest arc, Strong path, Strongest path, α-strong, β-strong and δ-weak. AMS Classification: 03E72, 05C38 References: Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Berlin, 1999. Atanassov, K. On intuitionistic fuzzy graphs and intuitionistic fuzzy relations, Proceedings of the VI IFSA World Congress, Sao Paulo, Brazil, July 1995, Vol.1, 551–554. Atanassov, K., A. Shannon, On a generalization of intuitionistic fuzzy graphs, Notes on Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 1, 24–29. Bhutani, K. R., A. Rosenfeld, Strong arcs in fuzzy graphs, Information Sciences, Vol.152, 2003, 319–322. Bhutani, K. R., A. Rosenfeld, Fuzzy end nodes in fuzzy graphs, Information Sciences, Vol. 152, 2003, 323–326. Bhutani, K. R., A. Rosenfeld, Geodesics in fuzzy graphs, Electronic Notes in Discrete Mathematics, Vol. 15, 2003, 51–54. Karunambigai, M. G., 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, Vol. 20, 2006, 139–150. Karunambigai, M. G., R. Parvathi, R. Buvaneswari, Constant IFG, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 1, 37–47. Mathew, S., M. S. Sunitha, Types of arcs in a fuzzy graph, Information Sciences, Vol. 179, 2009, 1760–1768. Parvathi, R.,M. G. Karunambigai, K. Atanassov, Operations on Intuitionistic Fuzzy Graphs, Proceedings of IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), August 2009, 1396–1401. Sameena, K., M. S. Sunitha, Strong arcs and maximum spanning trees in fuzzy graphs, International Journal of Mathematical Sciences, Vol. 5, 2006, 17–20. Sameena, K., M. S. Sunitha, Distance in fuzzy graphs, Ph.D Thesis, National Institute of Technology, Calicut, India, 2008. Shannon, A., K. Atanassov, A first step to a theory of the intuitionistic fuzzy graphs, Proceedings of the 1st Workshop on Fuzzy Based Expert Systems (D.Lakov, Ed.), Sofia, September 28-30, 1994, 59–61. Citations: Issue:Arc analysis in the intuitionistic fuzzy graph and its applications ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.