Study on combinatorial dual graph in intuitionistic fuzzy environment
Downloads
DOI:
https://doi.org/10.26637/mjm404/010Abstract
In this paper, intuitionistic fuzzy planar graphs are defined and various properties are studied. The intuitionistic fuzzy graphs are more efficient than fuzzy graphs, since it was found that one component is not sufficient to illustrate some special types of information. The notion of intuitionistic fuzzy dual graph and one of its close association namely intuitionistic fuzzy combinatorial dual graph is presented here. Some properties on intuitionistic fuzzy combinatorial dual graphs are investigated here.
Keywords:
Intuitionistic fuzzy graphs, intuitionistic fuzzy planar graphs, ntuitionistic fuzzy dual graphs, intuitionistic fuzzy combinatorial dual graphsMathematics Subject Classification:
03E72- Pages: 624-631`
- Date Published: 01-10-2016
- Vol. 4 No. 04 (2016): Malaya Journal of Matematik (MJM)
N. Alshehri and M. Akram, Intuitionistic Fuzzy Planar Graphs, Discrete Dynamics in Nature and Society, vol. 2014, 2014, 1-9. DOI: https://doi.org/10.1155/2014/397823
K. T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy sets and Systems, 20(1)(1986), 87-96. DOI: https://doi.org/10.1016/S0165-0114(86)80034-3
G. Nirmala and K. Dhanabal, Special Planar Fuzzy Graph Configurations, International Journal of Scientific and Research Publications, 2(7)(2012), 1-4.
T. Pramanik, S. Samanta, M. Pal, Interval-Valued Fuzzy Planar Graphs, Int. J. Mach. Learn. and Cyber, $7(4)(2014), 653-664$ DOI: https://doi.org/10.1007/s13042-014-0284-7
A. Rosenfeld, Fuzzy Graphs, in: L. A. Zadeh, K. S. Fu, M. Shimura (Eds.), Fuzzy Sets and Their Applications, Academic Press, New York, pp. 77-95, 1975. DOI: https://doi.org/10.1016/B978-0-12-775260-0.50008-6
S. Samanta, A. Pal and M. Pal, Concept of Fuzzy Planar Graphs, Proceedings of the Science and Information Conference, London, UK, pp. 557-563, October 7-9, 2013.
S. Samanta, A. Pal and M. Pal, New Concept of fuzzy planar graph, International Journal of Advance Research in Artificial Intelligence, 3(1)(2014), 52-59. DOI: https://doi.org/10.14569/IJARAI.2014.030108
S. Samanta, M. Pal, Fuzzy Planar Graphs, IEEE Transections on Fuzzy Systems, 23(6)(2015), $1936-1942$. DOI: https://doi.org/10.1109/TFUZZ.2014.2387875
S. Shriram, R. Sujatha and S. Narasimman, Fuzzy combinatorial dual graph, International Journal of Pure and Applied Mathematics, 109(7)(2016), 35-41.
Shannon, A., Atanassov, K. T.: A first step to a theory of the intuitionistic fuzzy graphs, Proceeding of FUBEST, 1994, 59-61.
L.A. Zadeh, Fuzzy sets, Information and Control, 8(3)(1965), 338-353. DOI: https://doi.org/10.1016/S0019-9958(65)90241-X
- NA
Similar Articles
- M. Abinaya, V. Mohana, Existence results for non-autonomous neutral integro-differential systems with impulsive and nonlocal conditions , Malaya Journal of Matematik: Vol. 4 No. 04 (2016): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
