Certain Types of Interval-Valued Fuzzy Graphs

Muhammad Akram, Noura Omair Alshehri, Wieslaw A. Dudek
2013 Journal of Applied Mathematics  
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
more » ... ighly irregular interval-valued fuzzy graphs are equivalent are obtained. We also describe the relationship between intuitionistic fuzzy graphs and interval-valued fuzzy graphs.
doi:10.1155/2013/857070 fatcat:tdicdtd35vdnhppk7qwnohx7vi