Research Article
Domination in Some Operations on Interval-valued Fuzzy Graphs
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 183 - Issue 39 |
| Published: Nov 2021 |
| Authors: Ahmed N. Shain, Mahiuob M.Q. Shubatah, Saqr H. Al-Emrany, Nojood A. Al-Khadari |
10.5120/ijca2021921752
|
| PDF not available |
Ahmed N. Shain, Mahiuob M.Q. Shubatah, Saqr H. Al-Emrany, Nojood A. Al-Khadari . Domination in Some Operations on Interval-valued Fuzzy Graphs. International Journal of Computer Applications. 183, 39 (Nov 2021), 1-6. DOI=10.5120/ijca2021921752
@article{ 10.5120/ijca2021921752,
author = { Ahmed N. Shain,Mahiuob M.Q. Shubatah,Saqr H. Al-Emrany,Nojood A. Al-Khadari },
title = { Domination in Some Operations on Interval-valued Fuzzy Graphs },
journal = { International Journal of Computer Applications },
year = { 2021 },
volume = { 183 },
number = { 39 },
pages = { 1-6 },
doi = { 10.5120/ijca2021921752 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2021
%A Ahmed N. Shain
%A Mahiuob M.Q. Shubatah
%A Saqr H. Al-Emrany
%A Nojood A. Al-Khadari
%T Domination in Some Operations on Interval-valued Fuzzy Graphs%T
%J International Journal of Computer Applications
%V 183
%N 39
%P 1-6
%R 10.5120/ijca2021921752
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper, the domination number ? of some operations on interval-valued fuzzy graphs was introduced and established investigated for some operations on bipolar fuzzy graphs such as union, join, Cartesian product, strong product and composition.
References
- M. Akram, Interval-valued fuzzy line graphs, Neural Computing and Applications, 21(1), (2012), 256-267.
- M. Akram and W. A. Dudek, Interval-valued fuzzy graphs, Compute. Math. Appl. 61(2), (2011), 289-299.
- P. Debnath, ”Domination in interval-valued fuzzy graphs”, Annals of Fuzzy Mathematics and Informatics, 6(2), (2013), 363-370.
- F. Haray, ”Graph theory”, Addison Wesley, Third printing, October, (1972).
- A. Kaufman, Introduction a La Theorie des Sous-ensembles Flous, Paris, Masson et cie Editeurs, (1973).
- J. N. Mordeson and C. S. Peng, Operations on fuzzy graphs, Inform. Sci. 79 (1994) 159?170.
- M. Naga Maruthi Kumari and R. Chandrasekhar, ”Operations on interval-valued fuzzy graphs”, IJARSE; 4(4),(2015), 618- 627.
- T. Pramanik, Sovan Samanta and Mahdumangai Pal, ”interval-valued fuzzy graphs”, International Journal of Fuzzy logic and Intelligent Systems, 20 (4), (2020), 316-323.
- A. Rosenfeld, Fuzzy graphs, In: L. A. Zadeh, K. S. Fu and M. Shimura, (Eds). ”Fuzzy Sets and their Applications”, Academic Press, 1975, New York.
- H. Rashmanlou, Sovan Samanta and M. Pal, ”Some results on interval-valued fuzzy graphs”, International Journal of Computer Science and Electronics Engineering , 3(3), (2015), 205- 211.
- A. Somasundaram, S. Somasundaran, ”Domination in fuzzy graphs-I”, Pattern Recognition Letters, 19, (1998), 787-791.
- A. Somasundaram, ”Domination in fuzzy graphs-II”, Journal of Fuzzy Mathematics, 20, (2000), 281-289.
- D.Umamageswari and P.Thangaraj, ”Domination operation on bipolar fuzzy graphs”, International Journal of Computational Research and Development, 2,(2017), 56-65.
- L. A. Zadeh, ”Fuzzy Sets”, Information and Control, 8, 1965, 338-353.
- L. A. Zadeh, The concept of a linguistic and application to approximate reasoning I, Inform.Sci. 8 (1975) 149-249.
Index Terms
Keywords