Extending COPRAS Method with Linguistic Fermatean Fuzzy Sets and Hamy Mean Operators

The utilization of linguistic variables is of vital importance for qualitative information processing in mathematical modelling and decision making under uncertainty. The primary purpose of our study is to introduce a novel structure by the fusion of Fermatean fuzzy sets and linguistic term sets. Th...

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Published inJournal of mathematics (Hidawi) Vol. 2022; no. 1
Main Authors Akram, Muhammad, Ramzan, Naila, Feng, Feng
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 2022
John Wiley & Sons, Inc
Wiley
Subjects
Cellular telephones
Data processing
Decision making
Fuzzy sets
Hybrid structures
Linguistics
Mathematics
Operators (mathematics)
Set theory
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Abstract The utilization of linguistic variables is of vital importance for qualitative information processing in mathematical modelling and decision making under uncertainty. The primary purpose of our study is to introduce a novel structure by the fusion of Fermatean fuzzy sets and linguistic term sets. This hybrid structure is termed as the linguistic Fermatean fuzzy set which can be employed for dealing with decision-making problems involving qualitative information. Several fundamental operations of linguistic Fermatean fuzzy sets are introduced. Furthermore, we present four classes of linguistic Fermatean fuzzy Hamy mean operators, namely, the linguistic Fermatean fuzzy Hamy mean operator, the linguistic Fermatean fuzzy dual Hamy mean operator, the linguistic Fermatean fuzzy weighted Hamy mean operator, and the linguistic Fermatean fuzzy weighted dual Hamy mean operator. Some basic properties of these linguistic Fermatean fuzzy Hamy mean operators are examined as well. In addition, we develop a linguistic Fermatean fuzzy extension of the COPRAS method. We also propose a novel approach to multi-attribute group decision making with linguistic Fermatean fuzzy information. With our proposed methods, we solve two practical problems regarding food company ranking and green supplier selection, respectively. Finally, the efficacy of our developed method is validated through a comparative analysis with existing methods.
AbstractList The utilization of linguistic variables is of vital importance for qualitative information processing in mathematical modelling and decision making under uncertainty. The primary purpose of our study is to introduce a novel structure by the fusion of Fermatean fuzzy sets and linguistic term sets. This hybrid structure is termed as the linguistic Fermatean fuzzy set which can be employed for dealing with decision-making problems involving qualitative information. Several fundamental operations of linguistic Fermatean fuzzy sets are introduced. Furthermore, we present four classes of linguistic Fermatean fuzzy Hamy mean operators, namely, the linguistic Fermatean fuzzy Hamy mean operator, the linguistic Fermatean fuzzy dual Hamy mean operator, the linguistic Fermatean fuzzy weighted Hamy mean operator, and the linguistic Fermatean fuzzy weighted dual Hamy mean operator. Some basic properties of these linguistic Fermatean fuzzy Hamy mean operators are examined as well. In addition, we develop a linguistic Fermatean fuzzy extension of the COPRAS method. We also propose a novel approach to multi-attribute group decision making with linguistic Fermatean fuzzy information. With our proposed methods, we solve two practical problems regarding food company ranking and green supplier selection, respectively. Finally, the efficacy of our developed method is validated through a comparative analysis with existing methods.
Author Akram, Muhammad
Feng, Feng
Ramzan, Naila
Author_xml – sequence: 1
  givenname: Muhammad
  orcidid: 0000-0001-7217-7962
  surname: Akram
  fullname: Akram, Muhammad
  organization: Department of MathematicsUniversity of the PunjabNew CampusLahorePakistanpu.edu.pk
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  givenname: Naila
  surname: Ramzan
  fullname: Ramzan, Naila
  organization: Department of MathematicsUniversity of the PunjabNew CampusLahorePakistanpu.edu.pk
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  givenname: Feng
  orcidid: 0000-0002-8876-3090
  surname: Feng
  fullname: Feng, Feng
  organization: School of Scienceand Shaanxi Key Laboratory of Network Data Analysis and Intelligent ProcessingXi’an University of Posts and TelecommunicationsXi’an 710121Chinaxiyou.edu.cn
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Copyright Copyright © 2022 Muhammad Akram et al.
Copyright © 2022 Muhammad Akram et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0
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Snippet The utilization of linguistic variables is of vital importance for qualitative information processing in mathematical modelling and decision making under...
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SubjectTerms Cellular telephones
Data processing
Decision making
Fuzzy sets
Hybrid structures
Linguistics
Mathematics
Operators (mathematics)
Set theory
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Title Extending COPRAS Method with Linguistic Fermatean Fuzzy Sets and Hamy Mean Operators
URI https://dx.doi.org/10.1155/2022/8239263
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https://doaj.org/article/8b63f3923d144d77938b87928b381721
Volume 2022
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