View source for Issue:An application of a strong and complete intuitionistic fuzzy graph by the concept of fuzzy coloring

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[[Category:Publications in 2025 year|{{PAGENAME}}]]
{{issue/title
 | title           = An application of a strong and complete intuitionistic fuzzy graph by the concept of fuzzy coloring
 | shortcut        = nifs/31/1/39-47
}}
{{issue/author
 | author          = R. Buvaneswari
 | institution     = Department of Mathematics, Sri Krishna Arts and Science College
 | address         = Coimbatore - 8, Tamil Nadu, India
 | email-before-at = buvanaamohan
 | email-after-at  = gmail.com
}}
{{issue/author
 | author          = P. Revathy
 | institution     = Department of Mathematics, Sri Krishna Arts and Science College
 | address         = Coimbatore - 8, Tamil Nadu, India
 | institution-2   = Department of Science and Humanities, Sri Krishna College of Engineering and Technology
 | address-2       = Coimbatore - 8, Tamil Nadu, India
 | email-before-at = revaprabhu92
 | email-after-at  = gmail.com
}}
{{issue/data
 | issue           = [[Notes on Intuitionistic Fuzzy Sets/31/1|Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1]], pages 39–47
 | doi             = https://doi.org/10.7546/nifs.2025.31.1.39-47
 | file            = NIFS-31-1-039-047.pdf
 | format          = PDF
 | size            = 188
 | abstract        = The hypothesis of fuzzy coloring to a strong and complete intuitionistic fuzzy graph is conferred with a real time application. The conduction of the Academic Leadership Committee Meeting of a higher educational institution is illustrated using the concept of fuzzy coloring.  
 | keywords        = Fuzzy coloring, Intuitionistic fuzzy graph, Panel members.
 | ams             = 05C72, 05C90.
 | references      = 
# Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. T. (1986). [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]]. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). [[Intuitionistic Fuzzy Sets: Theory and Applications]], Springer Physica-Verlag.
# Behzad. M. (1965). Graphs and Their Chromatic Numbers. Ph.D Thesis, Michigan State University, East Lansing.
# Buvaneswari, R., & Revathy, P. (2023). [[Issue:Fuzzy coloring and total fuzzy coloring of various types of intuitionistic fuzzy graphs|Fuzzy coloring and total fuzzy coloring of various types of intuitionistic fuzzy graphs]]. Notes on Intuitionistic Fuzzy Sets, 29(4), 383–400.
# Chartrand, G., & Zhang, P. (2009). Chromatic Graph Theory. CRC Press, A Chapman and Hall Book.
# Eslahchi, C., & Onagh, B. N. (2006). Vertex-strength of fuzzy graphs. International Journal of Mathematics and Mathematical Sciences, 1, 1–9.
#  Ismail Mohideen, S., & Rifayathali, M. A. (2015). Coloring of intuitionistic fuzzy graph using (α, β) -cuts. International Research Journal of Mathematics, Engineering and IT, 2(12), 14–26.
#  Karunambigai, M. G., Parvathi, R., & Buvaneswari, R. (2011). [[Issue:Constant intuitionistic fuzzy graphs|Constant intuitionistic fuzzy graphs]]. Notes on Intuitionistic Fuzzy Sets, 17(1), 37–47.
#  Lavanya, S., & Sattanathan, R. (2009). Fuzzy total coloring of fuzzy graphs. International Journal of Information Technology and Knowledge Management, 2(1), 37–39.
#  Nivethana, V., & Parvathi, A. (2013). Fuzzy total coloring and chromatic number of a complete fuzzy graph. International Journal of Emerging Trends in Engineering and Development, 6(3), 377–384.
#  Parvathi, R., & Karunambigai, M. G. (2006). Intuitionistic fuzzy graphs. In: Reusch, B. (ed.). Computational Intelligence, Theory and Applications, Vol 38., 139–150. Springer, Berlin, Heidelberg.
# Prasanna, A., Rifayathali, M. A., & Ismail Mohideen, S. (2017). Strong intuitionistic fuzzy graph coloring. International Journal of Latest Engineering Research and Applications (IJLERA), 2(8), 163–169.
#  Rosenfeld, A. (1975). Fuzzy graphs. Academic Press, 77–95.
#  Samanta, S., Pramanik, T., & Pal, M. (2015). Fuzzy coloring of fuzzy graphs. Afrika Matematika, 27, 37–50.
#  Shannon, 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, 28–30 September 1994, 59–61.
#  Vizing, V. G. (1963). The Cartesian product of graphs. Vychislitel’nye Sistemy, 9, 30–43.

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