Rough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making

Yager recently introduced the <i>q</i>-rung orthopair fuzzy set to accommodate uncertainty in decision-making problems. A binary relation over dual universes has a vital role in mathematics and information sciences. During this work, we defined upper approximations and lower approximatio...

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Autores principales:	Muhammad Asim Bilal, Muhammad Shabir, Ahmad N. Al-Kenani
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	<i>q</i>-rung orthopair fuzzy set <i>q</i>-rung orthopair fuzzy topologies accuracy measure similarity relations decision-making emergency preparedness Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/6528eb990860432fbcb788e7486d0174
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spelling	oai:doaj.org-article:6528eb990860432fbcb788e7486d01742021-11-25T19:06:00ZRough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making10.3390/sym131120102073-8994https://doaj.org/article/6528eb990860432fbcb788e7486d01742021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2010https://doaj.org/toc/2073-8994Yager recently introduced the <i>q</i>-rung orthopair fuzzy set to accommodate uncertainty in decision-making problems. A binary relation over dual universes has a vital role in mathematics and information sciences. During this work, we defined upper approximations and lower approximations of <i>q</i>-rung orthopair fuzzy sets using crisp binary relations with regard to the aftersets and foresets. We used an accuracy measure of a <i>q</i>-rung orthopair fuzzy set to search out the accuracy of a <i>q</i>-rung orthopair fuzzy set, and we defined two types of <i>q</i>-rung orthopair fuzzy topologies induced by reflexive relations. The novel concept of a rough <i>q</i>-rung orthopair fuzzy set over dual universes is more flexible when debating the symmetry between two or more objects that are better than the prevailing notion of a rough Pythagorean fuzzy set, as well as rough intuitionistic fuzzy sets. Furthermore, using the score function of <i>q</i>-rung orthopair fuzzy sets, a practical approach was introduced to research the symmetry of the optimal decision and, therefore, the ranking of feasible alternatives. Multiple criteria decision making (MCDM) methods for <i>q</i>-rung orthopair fuzzy sets cannot solve problems when an individual is faced with the symmetry of a two-sided matching MCDM problem. This new approach solves the matter more accurately. The devised approach is new within the literature. In this method, the main focus is on ranking and selecting the alternative from a collection of feasible alternatives, reckoning for the symmetry of the two-sided matching of alternatives, and providing a solution based on the ranking of alternatives for an issue containing conflicting criteria, to assist the decision-maker in a final decision.Muhammad Asim BilalMuhammad ShabirAhmad N. Al-KenaniMDPI AGarticle<i>q</i>-rung orthopair fuzzy set<i>q</i>-rung orthopair fuzzy topologiesaccuracy measuresimilarity relationsdecision-makingemergency preparednessMathematicsQA1-939ENSymmetry, Vol 13, Iss 2010, p 2010 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	<i>q</i>-rung orthopair fuzzy set <i>q</i>-rung orthopair fuzzy topologies accuracy measure similarity relations decision-making emergency preparedness Mathematics QA1-939
spellingShingle	<i>q</i>-rung orthopair fuzzy set <i>q</i>-rung orthopair fuzzy topologies accuracy measure similarity relations decision-making emergency preparedness Mathematics QA1-939 Muhammad Asim Bilal Muhammad Shabir Ahmad N. Al-Kenani Rough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making
description	Yager recently introduced the <i>q</i>-rung orthopair fuzzy set to accommodate uncertainty in decision-making problems. A binary relation over dual universes has a vital role in mathematics and information sciences. During this work, we defined upper approximations and lower approximations of <i>q</i>-rung orthopair fuzzy sets using crisp binary relations with regard to the aftersets and foresets. We used an accuracy measure of a <i>q</i>-rung orthopair fuzzy set to search out the accuracy of a <i>q</i>-rung orthopair fuzzy set, and we defined two types of <i>q</i>-rung orthopair fuzzy topologies induced by reflexive relations. The novel concept of a rough <i>q</i>-rung orthopair fuzzy set over dual universes is more flexible when debating the symmetry between two or more objects that are better than the prevailing notion of a rough Pythagorean fuzzy set, as well as rough intuitionistic fuzzy sets. Furthermore, using the score function of <i>q</i>-rung orthopair fuzzy sets, a practical approach was introduced to research the symmetry of the optimal decision and, therefore, the ranking of feasible alternatives. Multiple criteria decision making (MCDM) methods for <i>q</i>-rung orthopair fuzzy sets cannot solve problems when an individual is faced with the symmetry of a two-sided matching MCDM problem. This new approach solves the matter more accurately. The devised approach is new within the literature. In this method, the main focus is on ranking and selecting the alternative from a collection of feasible alternatives, reckoning for the symmetry of the two-sided matching of alternatives, and providing a solution based on the ranking of alternatives for an issue containing conflicting criteria, to assist the decision-maker in a final decision.
format	article
author	Muhammad Asim Bilal Muhammad Shabir Ahmad N. Al-Kenani
author_facet	Muhammad Asim Bilal Muhammad Shabir Ahmad N. Al-Kenani
author_sort	Muhammad Asim Bilal
title	Rough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making
title_short	Rough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making
title_full	Rough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making
title_fullStr	Rough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making
title_full_unstemmed	Rough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making
title_sort	rough <i>q</i>-rung orthopair fuzzy sets and their applications in decision-making
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/6528eb990860432fbcb788e7486d0174
work_keys_str_mv	AT muhammadasimbilal roughiqirungorthopairfuzzysetsandtheirapplicationsindecisionmaking AT muhammadshabir roughiqirungorthopairfuzzysetsandtheirapplicationsindecisionmaking AT ahmadnalkenani roughiqirungorthopairfuzzysetsandtheirapplicationsindecisionmaking
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Rough <i>q</i>-Rung Orthopair Fuzzy Sets and Their Applications in Decision-Making

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