Consistency and consensus driven for hesitant fuzzy linguistic decision making with pairwise comparisons
Consistency and consensus driven for hesitant fuzzy linguistic decision making with pairwise comparisons
Hesitant fuzzy linguistic preference relation (HFLPR) is of interest because it provides an efficient way for opinion expression under uncertainty. For enhancing the theory of group decision making (GDM) with HFLPR, the paper introduces a method for addressing the GDM based on consistency and consensus measurements, which involves (1) defining a hesitant fuzzy linguistic geometric consistency index (HFLGCI) and proposing an algorithm for consistency checking and inconsistency improving for HFLPR; (2) proposing a worst consensus index based on the minimum similarity measure between each individual HFLPR and the overall perfect HFLPR in order to build a consensus reaching algorithm based on the acceptable HLFPRs. The convergence and monotonicity of the proposed two procedures is proved. Experiments are performed to investigate the critical values of the defined HFLGCI, and comparative analyses are conducted to show the effectiveness of the proposed method. A case concerning the performance evaluation of venture capital guiding funds is given to illustrate the applicability of the proposed method. As an application of our work, an online decision-making portal is finally provided for decision makers to utilize the proposed method to solve GDM with HFLPRs.
Digital platform, Geometric consistency index, Group consensus, Group decision making, Hesitant fuzzy linguistic preference relation
Ren, Peijia
eea98210-95a2-4fbd-90e8-0b29454b8b4d
Liu, Zixu
1b07df56-a07b-4e78-bebc-38657ca80f76
Zhang, Wei-Guo
e850d6cf-952d-4c4e-bf47-b2801373d750
Wu, Xilan
f6cca8a4-a785-47d0-90b4-f7a6a23a04ec
15 September 2022
Ren, Peijia
eea98210-95a2-4fbd-90e8-0b29454b8b4d
Liu, Zixu
1b07df56-a07b-4e78-bebc-38657ca80f76
Zhang, Wei-Guo
e850d6cf-952d-4c4e-bf47-b2801373d750
Wu, Xilan
f6cca8a4-a785-47d0-90b4-f7a6a23a04ec
Ren, Peijia, Liu, Zixu, Zhang, Wei-Guo and Wu, Xilan
(2022)
Consistency and consensus driven for hesitant fuzzy linguistic decision making with pairwise comparisons.
Expert Systems with Applications, 202, [117307].
(doi:10.1016/j.eswa.2022.117307).
Abstract
Hesitant fuzzy linguistic preference relation (HFLPR) is of interest because it provides an efficient way for opinion expression under uncertainty. For enhancing the theory of group decision making (GDM) with HFLPR, the paper introduces a method for addressing the GDM based on consistency and consensus measurements, which involves (1) defining a hesitant fuzzy linguistic geometric consistency index (HFLGCI) and proposing an algorithm for consistency checking and inconsistency improving for HFLPR; (2) proposing a worst consensus index based on the minimum similarity measure between each individual HFLPR and the overall perfect HFLPR in order to build a consensus reaching algorithm based on the acceptable HLFPRs. The convergence and monotonicity of the proposed two procedures is proved. Experiments are performed to investigate the critical values of the defined HFLGCI, and comparative analyses are conducted to show the effectiveness of the proposed method. A case concerning the performance evaluation of venture capital guiding funds is given to illustrate the applicability of the proposed method. As an application of our work, an online decision-making portal is finally provided for decision makers to utilize the proposed method to solve GDM with HFLPRs.
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More information
Accepted/In Press date: 23 April 2022
e-pub ahead of print date: 26 April 2022
Published date: 15 September 2022
Additional Information:
Funding Information:
We wish to thank Long Jin for his support and contribution to implementing the online portal. The work was supported in part by the Guangdong Basic and Applied Basic Research Foundation (No. 2022A1515011029).
Publisher Copyright:
© 2022 Elsevier Ltd
Keywords:
Digital platform, Geometric consistency index, Group consensus, Group decision making, Hesitant fuzzy linguistic preference relation
Identifiers
Local EPrints ID: 471828
URI: http://eprints.soton.ac.uk/id/eprint/471828
ISSN: 0957-4174
PURE UUID: 267592a9-6189-43af-b453-ece023c30b64
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Date deposited: 21 Nov 2022 17:49
Last modified: 06 Jun 2024 04:07
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Contributors
Author:
Peijia Ren
Author:
Zixu Liu
Author:
Wei-Guo Zhang
Author:
Xilan Wu
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