Interval Valued Intuitionistic Fuzzy Line Graphs

In the field of graph theory, an intuitionistic fuzzy set becomes a useful tool to handle problems related to uncertainty and impreciseness. We introduced the interval-valued intuitionistic fuzzy line graphs (IVIFLG) and explored the results related to IVIFLG. Some propositions and theorems related...

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Bibliographic Details
Published in:BMC research notes 2022-07, Vol.15 (1), p.1-250, Article 250
Main Authors: Repalle, V. N. Srinivasa Rao, Tola, Keneni Abera, Ashebo, Mamo Abebe
Format: Article
Language:English
Subjects:
Analysis
Fuzzy algorithms
Fuzzy logic
Fuzzy set
Fuzzy sets
Fuzzy systems
Graph theory
Graphs
Immunoglobulins
Interval-valued intuitionistic fuzzy graph
Interval-valued intuitionistic fuzzy line graph
Intravenous administration
Isomorphism
Isomorphisms (Mathematics)
Research Note
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Summary:In the field of graph theory, an intuitionistic fuzzy set becomes a useful tool to handle problems related to uncertainty and impreciseness. We introduced the interval-valued intuitionistic fuzzy line graphs (IVIFLG) and explored the results related to IVIFLG. Some propositions and theorems related to IVIFLG are proposed and proved, which are originated from intuitionistic fuzzy graphs (IVIG). Furthermore, Isomorphism between two IVIFLGs toward their IVIFGs was determined and verified.
ISSN:1756-0500
1756-0500
DOI:10.1186/s13104-022-06124-x