Signless Laplacian Energy of Interval-Valued Fuzzy Graph and its Applications

IF 0.7 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Sains Malaysiana Pub Date : 2023-07-31 DOI:10.17576/jsm-2023-5207-18

Mamika Ujianita Romdhini, Faisal Al-Sharqi, Athirah Nawawi, Ashraf Al-Quran, Hossein Rashmanlou

引用次数: 0

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.

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区间值模糊图的无符号拉普拉斯能量及其应用

区间值模糊图由隶属度以区间形式给出的模糊图衍生而来。该框架为用户处理模糊信息提供了更大的灵活性。本文定义了区间值模糊有向图的无符号拉普拉斯矩阵。报道了与无符号拉普拉斯矩阵相关的区间值模糊有向图的特征值、谱、谱半径和能量。此外，该图中无符号拉普拉斯能量的下界被突出显示。最后，使用这些工具构建一个算法，帮助解决一些实际问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sains Malaysiana MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

12.50%

发文量

196

审稿时长

3-6 weeks

期刊介绍： Sains Malaysiana is a refereed journal committed to the advancement of scholarly knowledge and research findings of the several branches of science and technology. It contains articles on Earth Sciences, Health Sciences, Life Sciences, Mathematical Sciences and Physical Sciences. The journal publishes articles, reviews, and research notes whose content and approach are of interest to a wide range of scholars. Sains Malaysiana is published by the UKM Press an its autonomous Editorial Board are drawn from the Faculty of Science and Technology, Universiti Kebangsaan Malaysia. In addition, distinguished scholars from local and foreign universities are appointed to serve as advisory board members and referees.