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.
Citation
Muhammad Akram. Noura Omair Alshehri. Wieslaw A. Dudek. "Certain Types of Interval-Valued Fuzzy Graphs." J. Appl. Math. 2013 1 - 11, 2013. https://doi.org/10.1155/2013/857070
