Open Access
2013 Certain Types of Interval-Valued Fuzzy Graphs
Muhammad Akram, Noura Omair Alshehri, Wieslaw A. Dudek
J. Appl. Math. 2013: 1-11 (2013). DOI: 10.1155/2013/857070


We propose certain types of interval-valued fuzzy graphs including balanced interval-valued fuzzy graphs, neighbourly irregular interval-valued fuzzy graphs, neighbourly total irregular interval-valued fuzzy graphs, highly irregular interval-valued fuzzy graphs, and highly total irregular interval-valued fuzzy graphs. Some interesting properties associated with these new interval-valued fuzzy graphs are investigated, and necessary and sufficient conditions under which neighbourly irregular and highly irregular interval-valued fuzzy graphs are equivalent are obtained. We also describe the relationship between intuitionistic fuzzy graphs and interval-valued fuzzy graphs.


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Muhammad Akram. Noura Omair Alshehri. Wieslaw A. Dudek. "Certain Types of Interval-Valued Fuzzy Graphs." J. Appl. Math. 2013 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950910
MathSciNet: MR3122137
Digital Object Identifier: 10.1155/2013/857070

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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