Lattice valued fuzzy graphs

Fuzzy graphs have numerous applications in real life. Up till now, there have been many extensions of fuzzy graphs. For example, intuitionistic fuzzy graphs, Pythagorean fuzzy graphs, Fermatean fuzzy graphs, q-rung orthopair fuzzy graphs, picture fuzzy graphs, spherical fuzzy graphs, q-rung picture fuzzy graphs, interval valued fuzzy graphs, single valued neutrosophic fuzzy graphs, bipolar fuzzy graphs, m-polar fuzzy graphs, and so on. In the present paper, we shall present a novel definition of lattice-valued fuzzy graphs by lattice implication operators ↦, and prove that various fuzzy graphs mentioned above can be regarded as special lattice-valued fuzzy graphs. Moreover we shall present some characterizations of lattice-valued fuzzy graphs.