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Certain Types of Interval-Valued Fuzzy Graphs

Author

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  • Muhammad Akram
  • Noura Omair Alshehri
  • Wieslaw A. Dudek

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.

Suggested Citation

  • Muhammad Akram & Noura Omair Alshehri & Wieslaw A. Dudek, 2013. "Certain Types of Interval-Valued Fuzzy Graphs," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, October.
    • Handle: RePEc:hin:jnljam:857070
    DOI: 10.1155/2013/857070
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