Certain types of edge irregular intuitionistic fuzzy graphs

In this paper, edge irregular intuitionistic fuzzy graphs, edge totally irregular intuitionistic fuzzy graphs, highly edge irregular intuitionistic fuzzy graphs and highly edge totally irregular intuitionistic fuzzy graphs are introduced. Some properties of an edge irregular intuitionistic fuzzy gra...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 34; no. 1; pp. 295 - 305
Main Authors Sahoo, Sankar, Pal, Madhumangal
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2018
Subjects
Graphs
Irregularities
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Summary:In this paper, edge irregular intuitionistic fuzzy graphs, edge totally irregular intuitionistic fuzzy graphs, highly edge irregular intuitionistic fuzzy graphs and highly edge totally irregular intuitionistic fuzzy graphs are introduced. Some properties of an edge irregular intuitionistic fuzzy graphs and highly edge irregular intuitionistic fuzzy graphs are discussed. A equivalent condition under which edge irregular intuitionistic fuzzy graphs and edge totally irregular intuitionistic fuzzy graphs is provided. Also, we introduced a strong edge irregular intuitionistic fuzzy graphs, strong edge totally irregular intuitionistic fuzzy graphs, neighbourly edge irregular intuitionistic fuzzy graphs and neighbourly edge totally irregular intuitionistic fuzzy graphs with suitable illustrations and established many interesting results on them. Finally, edge irregularity and highly edge irregularity on some intuitionistic fuzzy graphs whose crisp graphs a path and a cycle are studied.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-171187