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Signless laplacian energy of interval-valued fuzzy graph and its applications

An interval-valued fuzzy graph (IVFG) emanates from a fuzzy graph (FG) where the membership is given in interval form. This framework give the user more flexibility in dealing with fuzzy information. In this paper, the signless Laplacian matrix of an interval-valued fuzzy-directed graph is defined....

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Main Authors: Romdhini, Mamika Ujianita, Al-Sharqi, Faisal, Athirah Nawawi,, Al-Quran, Ashraf, Rashmanlou, Hossein
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2023
Online Access:http://journalarticle.ukm.my/22598/1/STT%2018.pdf
http://journalarticle.ukm.my/22598/
https://www.ukm.my/jsm/
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spelling my-ukm.journal.225982023-11-24T03:05:36Z http://journalarticle.ukm.my/22598/ Signless laplacian energy of interval-valued fuzzy graph and its applications Romdhini, Mamika Ujianita Al-Sharqi, Faisal Athirah Nawawi, Al-Quran, Ashraf Rashmanlou, Hossein An interval-valued fuzzy graph (IVFG) emanates from a fuzzy graph (FG) where the membership is given in interval form. This framework give the user more flexibility in dealing with fuzzy information. In this paper, the signless Laplacian matrix of an interval-valued fuzzy-directed graph is defined. The eigenvalue, spectrum, spectral radius, and energy of an interval-valued fuzzy-directed graph associated with the signless Laplacian matrix are reported. In addition, the lower bound of the signless Laplacian energy in this graph is highlighted. Finally, these tools are employed to build an algorithm that helps in solving some real live problems. Penerbit Universiti Kebangsaan Malaysia 2023 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/22598/1/STT%2018.pdf Romdhini, Mamika Ujianita and Al-Sharqi, Faisal and Athirah Nawawi, and Al-Quran, Ashraf and Rashmanlou, Hossein (2023) Signless laplacian energy of interval-valued fuzzy graph and its applications. Sains Malaysiana, 52 (7). pp. 2127-2137. ISSN 0126-6039 https://www.ukm.my/jsm/
institution Universiti Kebangsaan Malaysia
building Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description An interval-valued fuzzy graph (IVFG) emanates from a fuzzy graph (FG) where the membership is given in interval form. This framework give the user more flexibility in dealing with fuzzy information. In this paper, the signless Laplacian matrix of an interval-valued fuzzy-directed graph is defined. The eigenvalue, spectrum, spectral radius, and energy of an interval-valued fuzzy-directed graph associated with the signless Laplacian matrix are reported. In addition, the lower bound of the signless Laplacian energy in this graph is highlighted. Finally, these tools are employed to build an algorithm that helps in solving some real live problems.
format Article
author Romdhini, Mamika Ujianita
Al-Sharqi, Faisal
Athirah Nawawi,
Al-Quran, Ashraf
Rashmanlou, Hossein
spellingShingle Romdhini, Mamika Ujianita
Al-Sharqi, Faisal
Athirah Nawawi,
Al-Quran, Ashraf
Rashmanlou, Hossein
Signless laplacian energy of interval-valued fuzzy graph and its applications
author_facet Romdhini, Mamika Ujianita
Al-Sharqi, Faisal
Athirah Nawawi,
Al-Quran, Ashraf
Rashmanlou, Hossein
author_sort Romdhini, Mamika Ujianita
title Signless laplacian energy of interval-valued fuzzy graph and its applications
title_short Signless laplacian energy of interval-valued fuzzy graph and its applications
title_full Signless laplacian energy of interval-valued fuzzy graph and its applications
title_fullStr Signless laplacian energy of interval-valued fuzzy graph and its applications
title_full_unstemmed Signless laplacian energy of interval-valued fuzzy graph and its applications
title_sort signless laplacian energy of interval-valued fuzzy graph and its applications
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2023
url http://journalarticle.ukm.my/22598/1/STT%2018.pdf
http://journalarticle.ukm.my/22598/
https://www.ukm.my/jsm/
_version_ 1783877723966406656
score 13.211869

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