| Title of paper:
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Arc analysis in the intuitionistic fuzzy graph and its applications
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| Author(s):
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| V. Nivethana
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| Department of Mathematics, Sri Venkateswara Institute of Science and Technology, Thiruvallur, India
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| vnivethana@yahoo.com
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| A. Parvathi
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| Department of Mathematics, Avinashilingam University, Coimbatore, India
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| aparvathi.s@gmail.com
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 22 (2016) Number 1, pages 53-62
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| Download:
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 PDF (348 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy graph, Arcs in intuitionistic fuzzy graph, IF-bridges, IF-cutnodes, Application in decision making.
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| AMS Classification:
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03E72, 05C38.
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| References:
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| Citations:
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