Roman Domination in Intuitionistic Fuzzy Graphs.

Authors

  • M. Guna Sorna Lakshmi
  • S. Syed Ali Fathima

Keywords:

Intuitionistic Fuzzy Graph; Roman Domination number

Abstract

In this paper, we introduce the concept of Roman Domination in an intuitionistic fuzzy graph. A few properties of the Roman domination number are taken and analyzed using examples..

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References

[1] K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, New York, 1999.

[2] E.J. Cockaynea, P.A. Dreyer Jr, S.M. Hedetniemic and S.T. Hedetniemi, Roman domination in graphs, Discrete Mathematics, 278, 11-22, 2004

[3] P.J. Jayalakshmi, Dr.C.V.R. Harinarayanan, Dr.P. Muthuraj, Total Strong (Weak) Domination Intuitionistic Fuzzy Graph, Advances in Theoretical and Applied Mathematics, Vol.11, No.3, 203-212, 2016.

[4] Masome Mojahedjar,A.A. Tolebiand Hossein Rashmanlou, The Novel Concept of Roman Domination in Fuzzy Graph, Jouranl of physical sciences, vol.28, 1-9, 2023

[5] M.G. Karunambigai and R. Parvathi, Intuitionistic Fuzzy Graphs, Proceedings of 9th Fuzzy Days International Conference on Computational Intelligence, Theory and Applications Springer-Verlag, 20, 139-150, 2006.

[6] R. Parvathi and G. Thamizhendhi, Domination in Intuitionistic Fuzzy Graphs, Fourteenth Int.Conf. on IFGs, Sofia, NIFS Vol.16, 2, 39-49, 15- 16, May 2010.

[7] A. Rosenfeld, Fuzzy graphs in fuzzy sets and their applications to cognitive and decision processes. Elsevier, 77-95, 1975

[8] I. Stewart, Defend the Roman Empire!, Sci. Amer. 281 (6), 136-139, 1999.

[9] L.A. Zadeh, Fuzzy Sets, Information Sciences, 8, 338-353, 1965

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Published

2025-07-08

How to Cite

1.
Lakshmi MGS, Ali Fathima SS. Roman Domination in Intuitionistic Fuzzy Graphs. J Neonatal Surg [Internet]. 2025 Jul. 8 [cited 2026 Jul. 16];14(29S):1111-5. Available from: https://jneonatalsurg.com/index.php/jns/article/view/10407

Issue

Vol. 14 No. 29S (2025): Journal of Neonatal Surgery

Section

Original Article

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