Issue:Index matrix representation of intuitionistic fuzzy graphs

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Title of paper: Index matrix representation of intuitionistic fuzzy graphs Author(s): Rangasamy Parvathi Vellalar College for Women, Erode – 638 009, Tamilnadu, India paarvathis@rediffmail.com S. Thilagavathi Vellalar College for Women, Erode – 638 009, Tamilnadu, India G. Thamizhendhi Department of Mathematics, Sri Vasavi College, Erode, Tamilnadu, India M. G. Karunambigai Department of Mathematics, Sri Vasavi College, Erode, Tamilnadu, India Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 2, pages 100-108 Download:  PDF (280  Kb, File info) Abstract: In this paper, the operations like addition, vertexwise multiplication, multiplication, structural subtraction on intuitionistic fuzzy graphs using index matrices have been introduced and discussed with suitable illustrations. Keywords: Index matrix representation, intuitionistic fuzzy graph, operations on intuitionistic fuzzy graphs. AMS Classification: 03E72 References: Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg, 1999. Atanassov, K., Index matrix representation of the intuitionistic fuzzy graphs, Preprint, Sofia, 1994, 36–41 Atanassov, K., A. Shannon, Intuitionstic fuzzy graphs From α-, β- and (α,β)-levels, Notes on Intuitionistic Fuzzy Sets, Vol. 1, 1995, No. 1, 32–35. Parvathi, R., M. G. Karunambigai, Intuitionistic fuzzy graphs, Proceedings of 9th Fuzzy Days International Conference on Computational Intelligence, In: Advances in soft computing: Computational Intelligence, Theory and Applications, Springer-Verlag, Vol. 20, 2006, 139–150. 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. 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 (Lakov, D., Ed.), Sofia, 28–30 Sept. 1994, 59–61. Rosenfeld, A., Fuzzy graphs, Fuzzy Sets and their Applications (Zadeh, L. A., K. S. Fu, M. Shimura, Eds.), Academic Press, New York, 1975, 77–95. Citations: Issue:Intuitionistic fuzzy index matrix representation of color images ‎ (← links) Issue:The role of operations over intuitionistic fuzzy index matrices in color image analysis ‎ (← 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.