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Issue:Arc analysis in the intuitionistic fuzzy graph and its applications

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Title of paper: Arc analysis in the intuitionistic fuzzy graph and its applications
Author(s):
V. Nivethana
Department of Mathematics, Sri Venkateswara Institute of Science and Technology, Thiruvallur, India
vnivethana@yahoo.com
A. Parvathi
Department of Mathematics, Avinashilingam University, Coimbatore, India
aparvathi.s@gmail.com
Published in: "Notes on IFS", Volume 22 (2016) Number 1, pages 53-62
Download:  PDF (348  Kb, Info)
Abstract: In this paper, a two dimensional approach on arcs of an intuitionistic fuzzy graph is made and the arcs are classified into three types: Sturdy arc, Feeble arc and δ* weak arc. A new concept of firm paths and infirm paths has been introduced and their application in a decision making problem has been shown. IF-bridges and IF-cutnodes are defined with a new notion and their properties are analyzed. We present with a necessary condition for an arc to be an IF-bridge.
Keywords: Intuitionistic fuzzy graph, Arcs in intuitionistic fuzzy graph, IF-bridges, IF-cutnodes, Application in decision making.
AMS Classification: 03E72, 05C38.
References:
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