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
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Official URL: https://www.ukm.my/jsm/
Abstract
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.
| Item Type: | Article |
|---|---|
| Keywords: | Energy of a graph; Interval-valued fuzzy graph; Signless Laplacian matrix |
| Journal: | Sains Malaysiana |
| ID Code: | 22598 |
| Deposited By: | Siti Zarenah Jasin |
| Deposited On: | 24 Nov 2023 03:02 |
| Last Modified: | 24 Nov 2023 03:05 |
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