| Title of paper:
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Domination in intuitionistic fuzzy graphs
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| Author(s):
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| Parvathi Rangasamy
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| Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
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| paarvathis@rediffmail.com
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| G. Thamizhendhi
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| Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
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| gthamil@rediffmail.com
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| Presented at:
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14th ICIFS, Sofia, 15-16 May 2010
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 16 (2010) Number 2, pages 39—49
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| Download:
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 PDF (147 Kb, File info)
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| Abstract:
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In this paper, an attempt has been made to introduce cardinality of an intuitionistic fuzzy graph. Also, the definition of bipartite, complete bipartite, strong arc, strength of the connectedness, dominating set, domination number, independent set, independent domination number, total dominating and total domination number in intuitionistic fuzzy graphs are given. Some properties of these concepts are studied.
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| Keywords:
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Cardinality of an intuitionistic fuzzy graph, dominating set, domination number, independent set.
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| References:
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- K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, New York (1999).
- K. Atanassov and A. Shannon, On a generalization of intuitionistic fuzzy graphs, Notes on Intuitionistic Fuzzy Sets,
8(2002), 73-78.12(2006), 1, 24-29
- J. A. Bondy and U. S. R. Murthy, Graph Theory with Applications, American Elsevier Publishing Co., New York (1976).
- E. J. Cockayne and S. T. Hedetnieme, Towards a Theory of Domination in Graphs, Networks 7 (1977), 247-261.
- 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.
- Mordeson N. John and Nair S. Premchand, Fuzzy Graphs and Fuzzy Hypergraphs, Physica-Verlag, New York (2000).
- 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.
- A. Shannon and 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.
- A. Somasundram and S. Somasundaram, Domination in Fuzzy Graphs-I, Pattern Recognition Letters, 19 (1998), 787-791.
- 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.
- L. A. Zadeh, Fuzzy Sets, Information Sciences, 8 (1965), 338-353.
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| Citations:
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