Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis

Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of Spherical Fuzzy Sets (SFS) are defined based on the Euclidean distance measure and the proposed...

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Autores principales:	Princy Rayappan, Mohana Krishnaswamy
Formato:	article
Lenguaje:	EN
Publicado:	Ayandegan Institute of Higher Education, 2020
Materias:	spehrical fuzzy sets euclidean distance proposed similarity measures medical diagnosis Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/c12ab7009fba495aa3f770c514c103a6
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spelling	oai:doaj.org-article:c12ab7009fba495aa3f770c514c103a62021-11-07T10:03:37ZSome similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis2783-14422717-345310.22105/jfea.2020.251669.1018https://doaj.org/article/c12ab7009fba495aa3f770c514c103a62020-09-01T00:00:00Zhttp://www.journal-fea.com/article_119345_b20c03809e863bbe50c4e003aceebcf3.pdfhttps://doaj.org/toc/2783-1442https://doaj.org/toc/2717-3453Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of Spherical Fuzzy Sets (SFS) are defined based on the Euclidean distance measure and the proposed similarity measures satisfy the axiom of the similarity measure. Furthermore, we apply the proposed similarity measures to medical diagnosis decision making problem; the numerical example is used to illustrate the feasibility and effectiveness of the proposed similarity measures of SFS, which are then compared to other existing similarity measures.Princy RayappanMohana KrishnaswamyAyandegan Institute of Higher Education,articlespehrical fuzzy setseuclidean distanceproposed similarity measures medical diagnosisMathematicsQA1-939ENJournal of Fuzzy Extension and Applications, Vol 1, Iss 3, Pp 244-251 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	spehrical fuzzy sets euclidean distance proposed similarity measures medical diagnosis Mathematics QA1-939
spellingShingle	spehrical fuzzy sets euclidean distance proposed similarity measures medical diagnosis Mathematics QA1-939 Princy Rayappan Mohana Krishnaswamy Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis
description	Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of Spherical Fuzzy Sets (SFS) are defined based on the Euclidean distance measure and the proposed similarity measures satisfy the axiom of the similarity measure. Furthermore, we apply the proposed similarity measures to medical diagnosis decision making problem; the numerical example is used to illustrate the feasibility and effectiveness of the proposed similarity measures of SFS, which are then compared to other existing similarity measures.
format	article
author	Princy Rayappan Mohana Krishnaswamy
author_facet	Princy Rayappan Mohana Krishnaswamy
author_sort	Princy Rayappan
title	Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis
title_short	Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis
title_full	Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis
title_fullStr	Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis
title_full_unstemmed	Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis
title_sort	some similarity measures of spherical fuzzy sets based on the euclidean distance and their application in medical diagnosis
publisher	Ayandegan Institute of Higher Education,
publishDate	2020
url	https://doaj.org/article/c12ab7009fba495aa3f770c514c103a6
work_keys_str_mv	AT princyrayappan somesimilaritymeasuresofsphericalfuzzysetsbasedontheeuclideandistanceandtheirapplicationinmedicaldiagnosis AT mohanakrishnaswamy somesimilaritymeasuresofsphericalfuzzysetsbasedontheeuclideandistanceandtheirapplicationinmedicaldiagnosis
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Some similarity measures of spherical fuzzy sets based on the Euclidean distance and their application in medical diagnosis

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