| Title of paper:
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On intuitionistic fuzzy tree-interpretations by index matrices
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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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| Anthony Shannon
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| Faculty of Engineering & IT, University of Technology, Sydney, NSW 2007, Australia
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| tshannon38@gmail.com
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| Panagiotis Chountas
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| HSCS - University of Westminster, London, HA1 3TP, UK
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| chountp@wmin.ac.uk
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| Krassimir Atanassov
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| Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| krat@bas.bg
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| Presented at:
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15th ICIFS, Burgas, 11-12 May 2011
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| Published in:
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Conference proceedings, "Notes on IFS", Volume 17 (2011) Number 2, pages 17—24
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| Download:
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 PDF (164 Kb, File info)
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| Abstract:
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Using the apparatus of index matrices, representations of (graph) trees and of operations over them, are given. Three examples illustrate the graph-operations are discussed here.
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| Keywords:
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Index matrix, Intuitionistic fuzzy graph.
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| AMS Classification:
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03E72, 05C50
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| References:
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- Atanassov, K., Generalized index matrices, Comptes rendus de l’Academie Bulgare des Sciences, Vol. 40, 1987, No.11, 15–18.
- Atanassov, K., On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291–302.
- Atanassov, K., On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121–126.
- Atanassov K. On index matrix interpretations of intuitionistic fuzzy graphs. Notes on Intuitionistic Fuzzy Sets, Vol. 8 (2002), No. 4, 73–78.
- Chountas, P., M. Alzebdi, A. Shannon, K. Atanassov, On intuitionistic fuzzy trees, Notes on Intuitionistic Fuzzy Sets, Vol. 15 (2009), No. 2, 30–32.
- Chountas, P., A. Shannon, P. Rangasamy, K. Atanassov, On intuitionistic fuzzy trees and their index matrix interpretation. Notes on Intuitionistic Fuzzy Sets, Vol. 15 (2009), No. 4, 52–56.
- Shannon, A., P. Rangasamy, K. Atanassov, P. Chountas, On intuitionistic fuzzy trees. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I: Foundations, 2010, 177–184.
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