16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:Domination in intuitionistic fuzzy graphs

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Title of paper: Domination in intuitionistic fuzzy graphs
Author(s):
Parvathi Rangasamy
Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
paarvathisAt sign.pngrediffmail.com
G. Thamizhendhi
Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
gthamilAt sign.pngrediffmail.com
Presented at: 14th ICIFS, Sofia, 15-16 May 2010
Published in: Conference proceedings, "Notes on IFS", Volume 16 (2010) Number 2, pages 39—49
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Abstract: In this paper, an attempt has been made to introduce cardinality of an intuitionistic fuzzy graph. Also, the definition of bipartite, complete bipartite, strong arc, strength of the connectedness, dominating set, domination number, independent set, independent domination number, total dominating and total domination number in intuitionistic fuzzy graphs are given. Some properties of these concepts are studied.
Keywords: Cardinality of an intuitionistic fuzzy graph, dominating set, domination number, independent set.
References:
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  2. K. Atanassov and A. Shannon, On a generalization of intuitionistic fuzzy graphs, Notes on Intuitionistic Fuzzy Sets, 8(2002), 73-78.12(2006), 1, 24-29
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  10. Yan Luo and Changrui Yu, A Fuzzy Optimization Method for Multi-Criteria Decision Making Problem Based on the Inclusion Degrees of Intuitionistic Fuzzy Sets, Journal of Information and Computing Science, 3(2) (2008), 146-152.
  11. L. A. Zadeh, Fuzzy Sets, Information Sciences, 8 (1965), 338-353.
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