16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:Index matrix representation of intuitionistic fuzzy graphs

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http://ifigenia.org/wiki/issue:nifs/20/2/100-108
Title of paper: Index matrix representation of intuitionistic fuzzy graphs
Author(s):
Rangasamy Parvathi
Vellalar College for Women, Erode – 638 009, Tamilnadu, India
paarvathisAt sign.pngrediffmail.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 IFS", Volume 20, 2014, Number 2, pages 100-108
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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:
  1. Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg, 1999.
  2. Atanassov, K., Index matrix representation of the intuitionistic fuzzy graphs, Preprint, Sofia, 1994, 36–41
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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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