{"title":"An analysis of Fermatean fuzzy graph and its application in a car company","authors":"Prabuddha Giri, Sk Amanathulla, Kalyani Maity Das","doi":"10.1007/s12190-024-02094-4","DOIUrl":null,"url":null,"abstract":"<p>Fuzzy graphs find numerous applications in real life. One of the extensions of fuzzy graphs is Fermatean fuzzy graphs. Here, we introduce the concepts of Fermatean fuzzy set to the domain of graph theory and obtain a novel type of graph, referred to as Fermatean fuzzy graph (<span>\\(\\textit{FFG}\\)</span>). The article establishes fundamental terms such as strong <span>\\(\\textit{FFG}\\)</span>, complete <span>\\(\\textit{FFG}\\)</span>, regular <span>\\(\\textit{FFG}\\)</span>, path, degree, total degree, homomorphism, and isomorphism of <span>\\(\\textit{FFG}\\)</span>, as well as the complement of <span>\\(\\textit{FFG}\\)</span>. Alongside the introduction of these concepts, their important properties, theorems, and illustrative examples are defined and discussed. Finally, an application has surfaced suggesting the utilization of <span>\\(\\textit{FFG}\\)</span>s to scrutinize the key factors affecting the productivity of Tata Motors, paving the way for a comprehensive analysis of the company’s operational efficiency using score function.</p>","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"43 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics and Computing","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12190-024-02094-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Fuzzy graphs find numerous applications in real life. One of the extensions of fuzzy graphs is Fermatean fuzzy graphs. Here, we introduce the concepts of Fermatean fuzzy set to the domain of graph theory and obtain a novel type of graph, referred to as Fermatean fuzzy graph (\(\textit{FFG}\)). The article establishes fundamental terms such as strong \(\textit{FFG}\), complete \(\textit{FFG}\), regular \(\textit{FFG}\), path, degree, total degree, homomorphism, and isomorphism of \(\textit{FFG}\), as well as the complement of \(\textit{FFG}\). Alongside the introduction of these concepts, their important properties, theorems, and illustrative examples are defined and discussed. Finally, an application has surfaced suggesting the utilization of \(\textit{FFG}\)s to scrutinize the key factors affecting the productivity of Tata Motors, paving the way for a comprehensive analysis of the company’s operational efficiency using score function.
期刊介绍：
JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.
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