A study of novel linear Diophantine fuzzy topological numbers and their application to communicable diseases

IF 1.8 4区物理与天体物理 Q4 CHEMISTRY, PHYSICAL

The European Physical Journal E Pub Date : 2024-12-01 DOI:10.1140/epje/s10189-024-00460-5

Siti Norziahidayu Amzee Zamri, Muhammad Azeem, Muhammad Imran, Muhammad Kamran Jamil, Bandar Almohsen

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Abstract

The idea of linear Diophantine fuzzy sets (LDFs) is a novel tool for analysis, soft computing, and optimization. Recently, the concept of a linear Diophantine fuzzy graph has been proposed in 2022. The aim of this research is to extend topological numbers to LDFSs. A real value assigned to a particular graph is known as a topological graph theoretic parameter. We extend the bound of the crisp graph toward the linear Diophantine fuzzy graph (LDFG), including the edge and vertex deletion operations via LDFG theoretic parameters. We also investigate the interesting bound of the LDFGs via LDFG theoretic parameters. Finally, for decision-making problems, we developed an algorithm by exploiting the relationship between LDFG theoretic parameters and LDFSs. Based on the established approach, we discussed a numerical example of an application of a medical diagnosis using the linear Diophantine fuzzy Sombor graph parameter and the first, fifth, and sixth versions of the linear Diophantine fuzzy Sombor graph parameters.

A way to the extension of fuzzy topological numbers.

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新型线性丢番图模糊拓扑数及其在传染病中的应用研究

线性丢番图模糊集的思想是一种新的分析、软计算和优化工具。最近，线性丢番图模糊图的概念在2022年被提出。本研究的目的是将拓扑数扩展到LDFSs。给定给特定图的实值称为拓扑图理论参数。我们将清晰图的界扩展到线性丢芬图（LDFG），包括通过LDFG理论参数的边和顶点删除操作。我们还通过LDFG理论参数研究了LDFG的有趣界。最后，针对决策问题，利用LDFG理论参数与ldfs之间的关系，开发了一种算法。基于所建立的方法，我们讨论了一个使用线性丢芬图模糊Sombor图参数和线性丢芬图模糊Sombor图参数的第一、第五和第六版本的医学诊断应用的数值例子。模糊拓扑数的一种扩展方法。

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来源期刊

The European Physical Journal E CHEMISTRY, PHYSICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

2.60

自引率

5.60%

发文量

审稿时长

3 months

期刊介绍： EPJ E publishes papers describing advances in the understanding of physical aspects of Soft, Liquid and Living Systems. Soft matter is a generic term for a large group of condensed, often heterogeneous systems -- often also called complex fluids -- that display a large response to weak external perturbations and that possess properties governed by slow internal dynamics. Flowing matter refers to all systems that can actually flow, from simple to multiphase liquids, from foams to granular matter. Living matter concerns the new physics that emerges from novel insights into the properties and behaviours of living systems. Furthermore, it aims at developing new concepts and quantitative approaches for the study of biological phenomena. Approaches from soft matter physics and statistical physics play a key role in this research. The journal includes reports of experimental, computational and theoretical studies and appeals to the broad interdisciplinary communities including physics, chemistry, biology, mathematics and materials science.