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

Autor: Zamri SNA; Science and Medicine Foundation Centre, Universiti Sultan Zainal Abidin, Gong Badak Campus, 21300, Kuala Nerus, Terengganu, Malaysia.; Universiti Sultan Zainal Abidin, East Coast Environmental Research Institute (ESERI), Gong Badak Campus, 21300, Kuala, Terengganu, Malaysia., Azeem M; Department of Mathematics, Riphah International University, Lahore, Pakistan. azeemali7009@gmail.com.; Department of Solids and Structures, School of Engineering, The University of Manchester, Manchester, M13 9PL, UK. azeemali7009@gmail.com., Imran M; Department of Mathematics, Kips College Thokar Campus Lahore, Lahore, Pakistan., Jamil MK; Department of Mathematics, Riphah International University, Lahore, Pakistan., Almohsen B; Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia.
Jazyk: angličtina
Zdroj: The European physical journal. E, Soft matter [Eur Phys J E Soft Matter] 2024 Dec 01; Vol. 47 (11), pp. 67. Date of Electronic Publication: 2024 Dec 01.
DOI: 10.1140/epje/s10189-024-00460-5
Abstrakt: 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.
Competing Interests: Declarations. Conflict of interest: The authors declare that they have no conflict of interest. Data Availability: The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.
(© 2024. The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature.)
Databáze: MEDLINE
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