| Title of paper:
|
Arcs in intuitionistic fuzzy graphs
|
| Author(s):
|
| M. G. Karunambigai
|
| Department of Mathematics, Sri Vasavi College, Erode – 638 316, Tamilnadu, India
|
| gkaruns@yahoo.co.in
|
| Parvathi Rangasamy
|
| Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamilnadu, India
|
| paarvathis@rediffmail.com
|
| R. Buvaneswari
|
| Department of Mathematics, Sankara College of Science and Commerce, Coimbatore – 641 035, Tamilnadu, India
|
| buvanaamohan@gmail.com
|
|
| Presented at:
|
8th IWIFS, Sofia, 9 October 2012
|
| Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 4, pages 48—58
|
| Download:
|
 PDF (113 Kb, File info)
|
| Abstract:
|
The structure of an Intuitionistic Fuzzy Graph (IFG) depends mainly on its arcs, as in crisp graphs. In an IFG, the arcs are classified into α-strong, β-strong and δ-weak, based on its strength. These arcs are used to study the structure of complete IFG and constant IFG. Their properties have also been studied.
|
| Keywords:
|
Strong arc, Weakest arc, Strong path, Strongest path, α-strong, β-strong and δ-weak.
|
| AMS Classification:
|
03E72, 05C38
|
| References:
|
- Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Berlin, 1999.
- Atanassov, K. On intuitionistic fuzzy graphs and intuitionistic fuzzy relations, Proceedings of the VI IFSA World Congress, Sao Paulo, Brazil, July 1995, Vol.1, 551–554.
- Atanassov, K., A. Shannon, On a generalization of intuitionistic fuzzy graphs, Notes on Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 1, 24–29.
- Bhutani, K. R., A. Rosenfeld, Strong arcs in fuzzy graphs, Information Sciences, Vol.152, 2003, 319–322.
- Bhutani, K. R., A. Rosenfeld, Fuzzy end nodes in fuzzy graphs, Information Sciences, Vol. 152, 2003, 323–326.
- Bhutani, K. R., A. Rosenfeld, Geodesics in fuzzy graphs, Electronic Notes in Discrete Mathematics, Vol. 15, 2003, 51–54.
- Karunambigai, M. G., 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, Vol. 20, 2006, 139–150.
- Karunambigai, M. G., R. Parvathi, R. Buvaneswari, Constant IFG, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 1, 37–47.
- Mathew, S., M. S. Sunitha, Types of arcs in a fuzzy graph, Information Sciences, Vol. 179, 2009, 1760–1768.
- 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.
- Sameena, K., M. S. Sunitha, Strong arcs and maximum spanning trees in fuzzy graphs, International Journal of Mathematical Sciences, Vol. 5, 2006, 17–20.
- Sameena, K., M. S. Sunitha, Distance in fuzzy graphs, Ph.D Thesis, National Institute of Technology, Calicut, India, 2008.
- 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 (D.Lakov, Ed.), Sofia, September 28-30, 1994, 59–61.
|
| Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
