Interval Valued Intuitionistic Fuzzy Line Graphs

OBJECTIVES: 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. RESULT: Some propositions a...

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Autores principales: Repalle, V. N. Srinivasa Rao, Tola, Keneni Abera, Ashebo, Mamo Abebe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2022
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9284774/
https://www.ncbi.nlm.nih.gov/pubmed/35841060
http://dx.doi.org/10.1186/s13104-022-06124-x
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author Repalle, V. N. Srinivasa Rao
Tola, Keneni Abera
Ashebo, Mamo Abebe
author_facet Repalle, V. N. Srinivasa Rao
Tola, Keneni Abera
Ashebo, Mamo Abebe
author_sort Repalle, V. N. Srinivasa Rao
collection PubMed
description OBJECTIVES: 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. RESULT: 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.
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spelling pubmed-92847742022-07-16 Interval Valued Intuitionistic Fuzzy Line Graphs Repalle, V. N. Srinivasa Rao Tola, Keneni Abera Ashebo, Mamo Abebe BMC Res Notes Research Note OBJECTIVES: 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. RESULT: 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. BioMed Central 2022-07-15 /pmc/articles/PMC9284774/ /pubmed/35841060 http://dx.doi.org/10.1186/s13104-022-06124-x Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/ (https://creativecommons.org/publicdomain/zero/1.0/) ) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
spellingShingle Research Note
Repalle, V. N. Srinivasa Rao
Tola, Keneni Abera
Ashebo, Mamo Abebe
Interval Valued Intuitionistic Fuzzy Line Graphs
title Interval Valued Intuitionistic Fuzzy Line Graphs
title_full Interval Valued Intuitionistic Fuzzy Line Graphs
title_fullStr Interval Valued Intuitionistic Fuzzy Line Graphs
title_full_unstemmed Interval Valued Intuitionistic Fuzzy Line Graphs
title_short Interval Valued Intuitionistic Fuzzy Line Graphs
title_sort interval valued intuitionistic fuzzy line graphs
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9284774/
https://www.ncbi.nlm.nih.gov/pubmed/35841060
http://dx.doi.org/10.1186/s13104-022-06124-x
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