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Certain Types of Interval-Valued Fuzzy Graphs

Muhammad Akram, Noura Omair Alshehri and Wieslaw A. Dudek

Journal of Applied Mathematics, 2013, vol. 2013, 1-11

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:857070

DOI: 10.1155/2013/857070

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