Multi anti fuzzy graph
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Abstract
In this paper, the new concept multi anti fuzzy graph is introduced and discussed its related concepts and
basic definitions with examples. Domination on multi anti fuzzy graph is defined and its domination number is
established with example. Characterization of a minimal dominating set of a multi fuzzy graph is established.
Keywords:
Multi anti fuzzy graph, degree, order and size of a multi anti fuzzy graph, dominating set, domination numberMathematics Subject Classification:
Mathematics- Pages: 199-203
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
R. Muthuraj, S. Balamurugan, Multi - fuzzy group and its level subgroups, Gen. Math. Notes, 17(1)(2013), 74-81.
R. Muthuraj, A. Sasireka, On Anti Fuzzy Graph, Advances in Fuzzy Mathematics, 12(5)(2017), 1123-1135.
R. Muthuraj, A. Sasireka, Domination on Anti Fuzzy Graph, International Journal of Mathematical Archive, $9(5)(2018), 82-92$.
R. Muthuraj, S. Revathi, Multi fuzzy graph, Journal of Critical Reviews, 7(15)(2020), 4122-4131.
A. Nagoor Gani and M. Basheer Ahamed, Order and Size in Fuzzy graph, Bulletin of pure and applied sciences, $22 mathrm{E}(1)(2003), 145-148$.
A. Rosenfeld, Fuzzy graphs, In: L.A.Zadeh, K.S.Fu and M.Shimura, Eds, Fuzzy Sets and their Applications, Academic Press, New York, (1975).
Sabu Sebastian and T. V. Ramakrishnan, Multi-fuzzy sets, International Mathematical Forum, 50(2010), 24712476.
A. Somasundaram and S. Somasundaram, Domination in Fuzzy Graphs-I, Pattern Recognition Lett, 19(1998), 787-791.
A. Somasundaram, Domination in Fuzzy Graphs-II, Journal of Fuzzy Mathematics, 13(2)(2005), 281-288.
A. ZadehL, Fuzzy sets, Information and Control, 8(1965), $338-353$.
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