| Title of paper:
|
Menger's theorem for intuitionistic fuzzy graphs
|
| Author(s):
|
| M. G. Karunambigai
|
| Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India
|
| karunsvc@yahoo.in
|
| R. Buvaneswari
|
| Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India
|
| buvanaamohan@gmail.com
|
|
| Presented at:
|
4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference, 3–7 May 2017, Mersin, Turkey
|
| Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 1, pages 70—78
|
| Download:
|
 PDF (157 Kb Kb, File info)
|
| Abstract:
|
In this paper, the concept of strength reducing set of vertices and edges have been introduced. Using it, Menger’s theorem for intuitionistic fuzzy graphs has been proved.
|
| Keywords:
|
Strength reducing set of vertices, Strength reducing set of edges, Minimum strength reducing set of vertices, Minimum strength reducing set of edges.
|
| AMS Classification:
|
03E72.
|
| References:
|
- Karunambigai, M. G. & Parvathi, R. (2006). 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, 139–150.
- Karunambigai, M. G., Parvathi, R. & Buvaneswari, R. (2012). Arcs in intuitionistic fuzzy graphs, Notes of Intuitionistic Fuzzy Sets, 18(4), 48–58.
- Mathew, S. & Sunitha, M.S. (2013). Menger’s theorem for fuzzy graphs, Information Sciences, 222, 717–726.
- Shanon, A. & Atanassov, K. T. (1994). A first step to a theory of the intuitionistic fuzzy graphs, Proceedings of the First Workshop on Fuzzy Based Expert Systems (D.Lakov, Ed.), Sofia, 59–61.
- Rosenfeld, A. (1975). Fuzzy graphs, in: L.A.Zadeh, K.S.Fu, M.Shimula (Eds.), Fuzzy Sets and their Applications to Cognitive and Decision Processes, Academic Press, New York, 77–95.
- Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353.
- Zadeh, L. A. (2005). Towards a generalized theory of uncertainty (GTU) – an outline, Information Sciences, 172(1-2), 1–40.
- Zadeh, L. A. (2008). Is there a need for fuzzy logic?, Information Sciences, 178, 2751–2779.
|
| 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.
|
|
