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 prove they can be regarded as special lattice-valued fuzzy graphs. Moreover we shall present some characterizations of lattice-valued fuzzy graphs.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-12-30
DOI
https://doi.org/10.15672/hujms.1629636
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
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article

Lattice valued fuzzy graphs

Bin Pang, Fu-gui Shı
Hacettepe Journal of Mathematics and Statistics
Multi-Criteria Decision Making
article

Lattice valued fuzzy graphs

Bin Pang, Fu-gui Shı
article en

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 prove they can be regarded as special lattice-valued fuzzy graphs. Moreover we shall present some characterizations of lattice-valued fuzzy graphs.

Hacettepe Journal of Mathematics and Statistics(Advanced Online Publication)
Beijing Institute of Technology (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 27%
Multi-Criteria Decision Making
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