{"title":"Exponential Function-Based Similarity Measures for q-Rung Linear Diophantine Fuzzy Sets and Their Application to Clustering Problem","authors":"S. Petchimuthu, Hüseyin Kamacı","doi":"10.35378/gujs.1013358","DOIUrl":null,"url":null,"abstract":"The q-rung linear Diophantine fuzzy set is a recently developed tool to handle with uncertain and awkward information in real-life issues and is applicable where reference parameter-based opinions. Similarity measures are distance with dimensions representing features of the objects. Keeping the advantages of the above analysis, this paper proposes similarity measures based on exponential function for q-rung linear Diophantine fuzzy sets and thus presents the first formulas for calculating the similarity coefficient between two q-rung linear Diophantine fuzzy sets. These proposed similarity measures are applied to the clustering problem and the results are analyzed. In addition, the comparison outputs of the new similarity measures are discussed to ensure their good performance.","PeriodicalId":12615,"journal":{"name":"gazi university journal of science","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"gazi university journal of science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35378/gujs.1013358","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
The q-rung linear Diophantine fuzzy set is a recently developed tool to handle with uncertain and awkward information in real-life issues and is applicable where reference parameter-based opinions. Similarity measures are distance with dimensions representing features of the objects. Keeping the advantages of the above analysis, this paper proposes similarity measures based on exponential function for q-rung linear Diophantine fuzzy sets and thus presents the first formulas for calculating the similarity coefficient between two q-rung linear Diophantine fuzzy sets. These proposed similarity measures are applied to the clustering problem and the results are analyzed. In addition, the comparison outputs of the new similarity measures are discussed to ensure their good performance.
期刊介绍：
The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.
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