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Issue:Transversals of intuitionistic fuzzy directed hypergraphs

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http://ifigenia.org/wiki/issue:nifs/21/3/66-79
Title of paper: Transversals of intuitionistic fuzzy directed hypergraphs
Author(s):
K. K. Myithili
Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
myth_maths@rediffmail.com
Rangasamy Parvathi
Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
paarvathis@rediffmail.com
Published in: "Notes on IFS", Volume 21, 2015, Number 3, pages 66—79
Download:  PDF (238  Kb, File info)
Abstract: Hypergraph is a graph in which an edge can connect more than two vertices. Directed hypergraphs are much like standard directed graphs. In usual directed graph, standard arcs connect a single tail node to a single head node whereas in the intuitionistic fuzzy directed hypergraph, hyperarcs connect a set of tail nodes to a set of head nodes. A transversal is a line that intersects two lines whereas in intuitionistic fuzzy directed hypergraph the transversals, is a hyperarc that intersects two or more hyperedges. In this paper, operations on intuitionistic fuzzy transversals of intuitionistic fuzzy directed hypergraphs are introduced and some of their properties are discussed. Further, operations like union, join, intersection, structural subtraction, composition and cartesian product on intuitionistic fuzzy directed hypergraphs are defined and studied with minimal intuitionistic fuzzy transversals as the edge set.
Keywords: Intuitionistic fuzzy directed hypergraph, Transversals, Operations.
AMS Classification: 03E72.
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