Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions

Fuzzy set theory and its extended form have been widely used in multiple-attribute group decision-making (MAGDM) problems, among which the interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs) got a lot of attention for its ability of capturing information denoted by interval values. Based on the...

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Autores principales:	Yuan Xu, Shifeng Liu, Jun Wang
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/4b28ad41b58548958e1249c996483153
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spelling	oai:doaj.org-article:4b28ad41b58548958e1249c9964831532021-11-04T06:07:13ZMultiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions1932-6203https://doaj.org/article/4b28ad41b58548958e1249c9964831532021-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC8530323/?tool=EBIhttps://doaj.org/toc/1932-6203Fuzzy set theory and its extended form have been widely used in multiple-attribute group decision-making (MAGDM) problems, among which the interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs) got a lot of attention for its ability of capturing information denoted by interval values. Based on the previous studies, to find a better solution for fusing qualitative quantization information with fuzzy numbers, we propose a novel definition of interval-valued q-rung orthopair uncertain linguistic sets (IVq-ROULSs) based on the linguistic scale functions, as well as its corresponding properties, such as operational rules and the comparison method. Furthermore, we utilize the power Muirhead mean operators to construct the information fusion method, and provide a variety of aggregation operators based on the proposed information description environment. A model framework is constructed for solving the MAGDM problem utilizing the proposed method. Finally, we illustrate the performance of the new method and investigate its advantages and superiorities through comparative analysis.Yuan XuShifeng LiuJun WangPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yuan Xu Shifeng Liu Jun Wang Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions
description	Fuzzy set theory and its extended form have been widely used in multiple-attribute group decision-making (MAGDM) problems, among which the interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs) got a lot of attention for its ability of capturing information denoted by interval values. Based on the previous studies, to find a better solution for fusing qualitative quantization information with fuzzy numbers, we propose a novel definition of interval-valued q-rung orthopair uncertain linguistic sets (IVq-ROULSs) based on the linguistic scale functions, as well as its corresponding properties, such as operational rules and the comparison method. Furthermore, we utilize the power Muirhead mean operators to construct the information fusion method, and provide a variety of aggregation operators based on the proposed information description environment. A model framework is constructed for solving the MAGDM problem utilizing the proposed method. Finally, we illustrate the performance of the new method and investigate its advantages and superiorities through comparative analysis.
format	article
author	Yuan Xu Shifeng Liu Jun Wang
author_facet	Yuan Xu Shifeng Liu Jun Wang
author_sort	Yuan Xu
title	Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions
title_short	Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions
title_full	Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions
title_fullStr	Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions
title_full_unstemmed	Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions
title_sort	multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power muirhead mean operators and linguistic scale functions
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/4b28ad41b58548958e1249c996483153
work_keys_str_mv	AT yuanxu multipleattributegroupdecisionmakingbasedonintervalvaluedqrungorthopairuncertainlinguisticpowermuirheadmeanoperatorsandlinguisticscalefunctions AT shifengliu multipleattributegroupdecisionmakingbasedonintervalvaluedqrungorthopairuncertainlinguisticpowermuirheadmeanoperatorsandlinguisticscalefunctions AT junwang multipleattributegroupdecisionmakingbasedonintervalvaluedqrungorthopairuncertainlinguisticpowermuirheadmeanoperatorsandlinguisticscalefunctions
_version_	1718445148444033024

Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions

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