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
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Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2021
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Acceso en línea:https://doaj.org/article/e324a7b6d7984c2688e34a9229c380b7
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spelling oai:doaj.org-article:e324a7b6d7984c2688e34a9229c380b72021-12-02T20:16:41ZMultiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions.1932-620310.1371/journal.pone.0258772https://doaj.org/article/e324a7b6d7984c2688e34a9229c380b72021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0258772https://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, p e0258772 (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/e324a7b6d7984c2688e34a9229c380b7
work_keys_str_mv AT yuanxu multipleattributegroupdecisionmakingbasedonintervalvaluedqrungorthopairuncertainlinguisticpowermuirheadmeanoperatorsandlinguisticscalefunctions
AT shifengliu multipleattributegroupdecisionmakingbasedonintervalvaluedqrungorthopairuncertainlinguisticpowermuirheadmeanoperatorsandlinguisticscalefunctions
AT junwang multipleattributegroupdecisionmakingbasedonintervalvaluedqrungorthopairuncertainlinguisticpowermuirheadmeanoperatorsandlinguisticscalefunctions
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