Issue:Menger's theorem for intuitionistic fuzzy graphs

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Title of paper: Menger's theorem for intuitionistic fuzzy graphs Author(s): M. G. Karunambigai Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India karunsvc@yahoo.in R. Buvaneswari Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India buvanaamohan@gmail.com Presented at: 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference, 3–7 May 2017, Mersin, Turkey Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 1, pages 70—78 Download:  PDF (157 Kb  Kb, File info) Abstract: In this paper, the concept of strength reducing set of vertices and edges have been introduced. Using it, Menger’s theorem for intuitionistic fuzzy graphs has been proved. Keywords: Strength reducing set of vertices, Strength reducing set of edges, Minimum strength reducing set of vertices, Minimum strength reducing set of edges. AMS Classification: 03E72. References: Karunambigai, M. G. & Parvathi, R. (2006). 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, 139–150. Karunambigai, M. G., Parvathi, R. & Buvaneswari, R. (2012). Arcs in intuitionistic fuzzy graphs, Notes of Intuitionistic Fuzzy Sets, 18(4), 48–58. Mathew, S. & Sunitha, M.S. (2013). Menger’s theorem for fuzzy graphs, Information Sciences, 222, 717–726. Shanon, A. & Atanassov, K. T. (1994). A first step to a theory of the intuitionistic fuzzy graphs, Proceedings of the First Workshop on Fuzzy Based Expert Systems (D.Lakov, Ed.), Sofia, 59–61. Rosenfeld, A. (1975). Fuzzy graphs, in: L.A.Zadeh, K.S.Fu, M.Shimula (Eds.), Fuzzy Sets and their Applications to Cognitive and Decision Processes, Academic Press, New York, 77–95. Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353. Zadeh, L. A. (2005). Towards a generalized theory of uncertainty (GTU) – an outline, Information Sciences, 172(1-2), 1–40. Zadeh, L. A. (2008). Is there a need for fuzzy logic?, Information Sciences, 178, 2751–2779. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.