Extended TODIM for multi-criteria group decision making based on unbalanced hesitant fuzzy linguistic term sets

•Propose some formulae to calculate the gain and loss for unbalanced HFLTSs.•Extend the TODIM method to deal with MCGDM problems with unbalanced HFLTSs.•Provide three applications to demonstrate the proposed TODIM method. Uncertainty and impreciseness usually exist widely in decision making problems...

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Published inComputers & industrial engineering Vol. 114; pp. 316 - 328
Main Authors Yu, Wenyu, Zhang, Zhen, Zhong, Qiuyan, Sun, Leilei
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2017
Subjects
Group decision making
Hesitant fuzzy linguistic term set
Multi-criteria decision making
TODIM
Unbalanced linguistic information
Group decision making
TODIM
Unbalanced linguistic information
Multi-criteria decision making
Hesitant fuzzy linguistic term set
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Abstract •Propose some formulae to calculate the gain and loss for unbalanced HFLTSs.•Extend the TODIM method to deal with MCGDM problems with unbalanced HFLTSs.•Provide three applications to demonstrate the proposed TODIM method. Uncertainty and impreciseness usually exist widely in decision making problems nowadays. When eliciting assessments over alternatives, decision makers tend to have some hesitancy and thus provide hesitant fuzzy linguistic term sets (HFLTSs). Moreover, the unbalanced linguistic term set sometimes has advantages over the balanced one for dealing with practical linguistic decision making problems. The purpose of this paper is to develop a new method to deal with multi-criteria group decision making (MCGDM) problems with unbalanced HFLTSs by considering the psychological behavior of decision makers. To achieve this goal, some formulae are first proposed to calculate the gain and loss for an unbalanced HFLTS over another. As a special case of the unbalanced HFLTS, the formulae of gain and loss for a balanced HFLTS are also provided. Afterwards, the classical TODIM method is extended to develop a new MCGDM method based on unbalanced HFLTSs. Eventually, the proposed method is demonstrated by using three practical applications, including a personnel selection process, an investment alternative selection process and a telecommunication service provider selection process.
AbstractList •Propose some formulae to calculate the gain and loss for unbalanced HFLTSs.•Extend the TODIM method to deal with MCGDM problems with unbalanced HFLTSs.•Provide three applications to demonstrate the proposed TODIM method. Uncertainty and impreciseness usually exist widely in decision making problems nowadays. When eliciting assessments over alternatives, decision makers tend to have some hesitancy and thus provide hesitant fuzzy linguistic term sets (HFLTSs). Moreover, the unbalanced linguistic term set sometimes has advantages over the balanced one for dealing with practical linguistic decision making problems. The purpose of this paper is to develop a new method to deal with multi-criteria group decision making (MCGDM) problems with unbalanced HFLTSs by considering the psychological behavior of decision makers. To achieve this goal, some formulae are first proposed to calculate the gain and loss for an unbalanced HFLTS over another. As a special case of the unbalanced HFLTS, the formulae of gain and loss for a balanced HFLTS are also provided. Afterwards, the classical TODIM method is extended to develop a new MCGDM method based on unbalanced HFLTSs. Eventually, the proposed method is demonstrated by using three practical applications, including a personnel selection process, an investment alternative selection process and a telecommunication service provider selection process.
Author Zhong, Qiuyan
Sun, Leilei
Yu, Wenyu
Zhang, Zhen
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  givenname: Wenyu
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  givenname: Zhen
  orcidid: 0000-0002-6512-1458
  surname: Zhang
  fullname: Zhang, Zhen
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  organization: Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, PR China
– sequence: 3
  givenname: Qiuyan
  surname: Zhong
  fullname: Zhong, Qiuyan
  organization: Institute of Information Management and Information Systems, Dalian University of Technology, Dalian 116024, PR China
– sequence: 4
  givenname: Leilei
  surname: Sun
  fullname: Sun, Leilei
  organization: School of Economics and Management, Tsinghua University, Beijing 100084, PR China
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Keywords Group decision making
TODIM
Unbalanced linguistic information
Multi-criteria decision making
Hesitant fuzzy linguistic term set
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Snippet •Propose some formulae to calculate the gain and loss for unbalanced HFLTSs.•Extend the TODIM method to deal with MCGDM problems with unbalanced...
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SubjectTerms Group decision making
Hesitant fuzzy linguistic term set
Multi-criteria decision making
TODIM
Unbalanced linguistic information
Title Extended TODIM for multi-criteria group decision making based on unbalanced hesitant fuzzy linguistic term sets
URI https://dx.doi.org/10.1016/j.cie.2017.10.029
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