Year: 2025
Type: article
Abstract: 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 $\mapsto$, 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.
Authors: Fu-gui Shı, Bin Pang
Institution: Beijing Institute of Technology
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: diamond
Awards: G4820953449, G5167407451
OpenAlex ID: W7117543372