Abstract
This paper studies the fuzzy graph properties of density and being self-complimentary in perfectly regular and perfectly edge-regular fuzzy graphs. Several structural results for these classes of fuzzy graphs are provided. These results are parameterized by the parameters which define perfectly regular and perfectly edge-regular fuzzy graphs, thus illustrating the computational benefits of using these classes of fuzzy graphs to represent and/or approximate fuzzy networks when performing analyses of fuzzy networks.
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