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....
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2023
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| Online Access: | http://journalarticle.ukm.my/22598/ http://journalarticle.ukm.my/22598/1/STT%2018.pdf |
| _version_ | 1848815638963814400 |
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| author | Romdhini, Mamika Ujianita Al-Sharqi, Faisal Athirah Nawawi, Al-Quran, Ashraf Rashmanlou, Hossein |
| author_facet | Romdhini, Mamika Ujianita Al-Sharqi, Faisal Athirah Nawawi, Al-Quran, Ashraf Rashmanlou, Hossein |
| author_sort | Romdhini, Mamika Ujianita |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T00:53:10Z |
| format | Article |
| id | oai:generic.eprints.org:22598 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:53:10Z |
| publishDate | 2023 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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/ |
| 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 |
| title | 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_short | Signless laplacian energy of interval-valued fuzzy graph and its applications |
| title_sort | signless laplacian energy of interval-valued fuzzy graph and its applications |
| url | http://journalarticle.ukm.my/22598/ http://journalarticle.ukm.my/22598/ http://journalarticle.ukm.my/22598/1/STT%2018.pdf |