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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 55 Issue: 2

Lattice valued fuzzy graphs

Fu-gui Shı(Beijing Institute of Technology)0000-0001-8090-3872
Bin Pang(Beijing Institute of Technology)0000-0001-5092-8278
Sayfa
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Yayın Tarihi
2025-12-30
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Moreover we shall present some characterizations of lattice-valued fuzzy graphs.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Fuzzy graphs have numerous applications in real life.
📊
Temel Bulgular & Veri:Up till now, there have been many extensions of fuzzy graphs.
💡
Sonuç & Katkı:Moreover we shall present some characterizations of lattice-valued fuzzy graphs.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:lattice valued fuzzy set · lattice valued fuzzy graph · L-fuzzy relation

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.

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Bu Makaleye Atıf Yap

Shı, F., Pang, B. (2025). Lattice valued fuzzy graphs. Hacettepe Journal of Mathematics and Statistics, Volume: 55 Issue: 2. https://doi.org/10.15672/hujms.1629636

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