Lattice valued fuzzy graphs

Fu Gui Shi; Bin Pang

doi:10.15672/hujms.1629636

Lattice valued fuzzy graphs

Fu Gui Shi^*
, Bin Pang

^*Corresponding author for this work

Quanzhou Normal University
Fujian Provincial Key Laboratory of Data-Intensive Computing
Fujian University Laboratory of Intelligent Computing and Information Processing
Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

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 ↦, 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.

Original language	English
Pages (from-to)	607-620
Number of pages	14
Journal	Hacettepe Journal of Mathematics and Statistics
Volume	55
Issue number	2
DOIs	https://doi.org/10.15672/hujms.1629636
Publication status	Published - 29 Apr 2026
Externally published	Yes

Keywords

L-fuzzy relation
lattice valued fuzzy graph
lattice valued fuzzy set
q-rung orthopair fuzzy graphs
q-rung picture fuzzy graphs

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10.15672/hujms.1629636

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title = "Lattice valued fuzzy graphs",

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 ↦, 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.",

keywords = "L-fuzzy relation, lattice valued fuzzy graph, lattice valued fuzzy set, q-rung orthopair fuzzy graphs, q-rung picture fuzzy graphs",

author = "Shi, \{Fu Gui\} and Bin Pang",

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T1 - Lattice valued fuzzy graphs

AU - Shi, Fu Gui

AU - Pang, Bin

PY - 2026/4/29

Y1 - 2026/4/29

N2 - 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.

AB - 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.

KW - L-fuzzy relation

KW - lattice valued fuzzy graph

KW - lattice valued fuzzy set

KW - q-rung orthopair fuzzy graphs

KW - q-rung picture fuzzy graphs

UR - https://www.scopus.com/pages/publications/105037513830

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DO - 10.15672/hujms.1629636

M3 - Article

AN - SCOPUS:105037513830

SN - 1303-5010

VL - 55

SP - 607

EP - 620

JO - Hacettepe Journal of Mathematics and Statistics

JF - Hacettepe Journal of Mathematics and Statistics

IS - 2

ER -

Lattice valued fuzzy graphs

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Keywords

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