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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P510

Complete Anti Fuzzy Graphs


R.Kalaivani, S.Meena Devi
Abstract

In this paper, we define three new operations on anti fuzzy graphs, namely direct product, semi – strong product and strong product. Moreover, we introduce and study the notion of balanced graph.

Keywords
anti fuzzy graph, direct product, semi – strong product, strong product, balanced anti fuzzy graph.
References

[1] Kaufmann. A., “Introducion to the theory of fuzzy Subsets”, Academic pres, Newyork,(1975).
[2] J.N.Mordeson and P.S.Nair, Physica Verlag(2000).
[3] R.Muthuraj and A.Sasireka, “On Anti-fuzzy graph”, Advances in Fuzzy Mathematics, Vol.12, No.5,(2017), pp.1123-1135.
[4] Rosenfield, Fuzzy graphs In Zadeh, L.A.,Fu, K.S., Shimura, M(Eds), Fuzzy Sets and their Applications, Academic Press, New York,(1975).
[5] R.Seethalakshmi , R.B.Gnanajothi, “Operations on anti-fuzzy graph” Mathematical Sciences International Research Journal , Volume 5, Issue 2 (2016), pp.210-214.
[6] M.S.Sunitha and A.Vijaya Kumar, “Complement of a fuzzy graph”, Indian Journal of Pure and Applied Mathematics, 33(9), September (2002), pp.1451-1464.
[7] L.A.Zadeh, “Fuzzy sets”,Information sciences,No.8(1965),pp.338-353.

Citation :

R.Kalaivani, S.Meena Devi, "Complete Anti Fuzzy Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 52-57, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P510

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