Title of paper:
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Index matrix representation of intuitionistic fuzzy graphs
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Author(s):
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R. Parvathi
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Vellalar College for Women, Erode – 638 009, Tamilnadu, India
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paarvathis@rediffmail.com
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S. Thilagavathi
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Vellalar College for Women, Erode – 638 009, Tamilnadu, India
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G. Thamizhendhi
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Department of Mathematics, Sri Vasavi College, Erode, Tamilnadu, India
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M. G. Karunambigai
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Department of Mathematics, Sri Vasavi College, Erode, Tamilnadu, India
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Published in:
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"Notes on IFS", Volume 20, 2014, Number 2, pages 100-108
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Download:
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PDF (280 Kb, File info)
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Abstract:
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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.
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Keywords:
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Index matrix representation, intuitionistic fuzzy graph, operations on intuitionistic fuzzy graphs.
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AMS Classification:
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03E72
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References:
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- 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.
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