8-9 October 2020 • Burgas, Bulgaria

Submission: 15 May 2020 • Notification: 31 May 2020 • Final Version: 15 June 2020

Issue:On intuitionistic fuzzy tree-interpretations by index matrices

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Title of paper: On intuitionistic fuzzy tree-interpretations by index matrices
Author(s):
Parvathi Rangasamy
Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
paarvathisAt sign.pngrediffmail.com
Anthony Shannon
Faculty of Engineering & IT, University of Technology, Sydney, NSW 2007, Australia
tshannon38At sign.pnggmail.comanthony.shannonAt sign.pnguts.edu.au
Panagiotis Chountas
HSCS - University of Westminster, London, HA1 3TP, UK
chountpAt sign.pngwmin.ac.uk
Krassimir Atanassov
Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
kratAt sign.pngbas.bg
Presented at: 15th ICIFS, Burgas, 11-12 May 2011
Published in: Conference proceedings, "Notes on IFS", Volume 17 (2011) Number 2, pages 17—24
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Abstract: 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.
Keywords: Index matrix, Intuitionistic fuzzy graph.
AMS Classification: 03E72, 05C50
References:
  1. Atanassov, K., Generalized index matrices, Comptes rendus de l’Academie Bulgare des Sciences, Vol. 40, 1987, No.11, 15–18.
  2. Atanassov, K., On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291–302.
  3. Atanassov, K., On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121–126.
  4. Atanassov K. On index matrix interpretations of intuitionistic fuzzy graphs. Notes on Intuitionistic Fuzzy Sets, Vol. 8 (2002), No. 4, 73–78.
  5. Chountas, P., M. Alzebdi, A. Shannon, K. Atanassov, On intuitionistic fuzzy trees, Notes on Intuitionistic Fuzzy Sets, Vol. 15 (2009), No. 2, 30–32.
  6. 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.
  7. 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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