Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets

Bipolar soft sets, which are a generalization of soft sets, are a very useful mathematical model for performing complex data analysis correctly since each parameter also takes into account the NOT parameter. However, in bipolar soft sets, we can express membership degrees as 0 or 1, and we cannot pr...

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Autor principal:	Orhan Dalkılıç
Formato:	article
Lenguaje:	EN
Publicado:	Taylor & Francis Group 2021
Materias:	bipolar soft set (not) bipolar relational membership degree (not) bipolar relational non-membership degree decision making Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/616fe0ade3ce4f5596912250a5e2cd82
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spelling	oai:doaj.org-article:616fe0ade3ce4f5596912250a5e2cd822021-11-04T15:00:42ZDetermining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets1658-365510.1080/16583655.2021.1996800https://doaj.org/article/616fe0ade3ce4f5596912250a5e2cd822021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/16583655.2021.1996800https://doaj.org/toc/1658-3655Bipolar soft sets, which are a generalization of soft sets, are a very useful mathematical model for performing complex data analysis correctly since each parameter also takes into account the NOT parameter. However, in bipolar soft sets, we can express membership degrees as 0 or 1, and we cannot process data about non-membership degrees. In all proposed mathematical models, the task of expressing a (non-)membership degree in the range (0, 1) focuses on the decision-maker. In this paper, these values in (0, 1) were tried to be determined in an objective way independent of the decision-maker. For this purpose, the concepts of (NOT) bipolar relational membership degree and (NOT) bipolar relational non-membership degree have been proposed. Moreover, using these concepts, a decision-making algorithm focusing on selecting the best object is proposed. Finally, a comparison is given for the proposed algorithm by emphasizing some important points.Orhan DalkılıçTaylor & Francis Grouparticlebipolar soft set(not) bipolar relational membership degree(not) bipolar relational non-membership degreedecision makingScience (General)Q1-390ENJournal of Taibah University for Science, Vol 15, Iss 1, Pp 609-618 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	bipolar soft set (not) bipolar relational membership degree (not) bipolar relational non-membership degree decision making Science (General) Q1-390
spellingShingle	bipolar soft set (not) bipolar relational membership degree (not) bipolar relational non-membership degree decision making Science (General) Q1-390 Orhan Dalkılıç Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets
description	Bipolar soft sets, which are a generalization of soft sets, are a very useful mathematical model for performing complex data analysis correctly since each parameter also takes into account the NOT parameter. However, in bipolar soft sets, we can express membership degrees as 0 or 1, and we cannot process data about non-membership degrees. In all proposed mathematical models, the task of expressing a (non-)membership degree in the range (0, 1) focuses on the decision-maker. In this paper, these values in (0, 1) were tried to be determined in an objective way independent of the decision-maker. For this purpose, the concepts of (NOT) bipolar relational membership degree and (NOT) bipolar relational non-membership degree have been proposed. Moreover, using these concepts, a decision-making algorithm focusing on selecting the best object is proposed. Finally, a comparison is given for the proposed algorithm by emphasizing some important points.
format	article
author	Orhan Dalkılıç
author_facet	Orhan Dalkılıç
author_sort	Orhan Dalkılıç
title	Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets
title_short	Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets
title_full	Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets
title_fullStr	Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets
title_full_unstemmed	Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets
title_sort	determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets
publisher	Taylor & Francis Group
publishDate	2021
url	https://doaj.org/article/616fe0ade3ce4f5596912250a5e2cd82
work_keys_str_mv	AT orhandalkılıc determiningthenonmembershipdegreesintherange01independentlyofthedecisionmakersforbipolarsoftsets
_version_	1718444774571114496

Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets

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