Multi-attribute group decision-making method with linguistic q-rung orthopair fuzzy information based on bi-direction Choquet integral
International Journal of Intelligent Computing and Cybernetics
ISSN: 1756-378X
Article publication date: 17 October 2022
Issue publication date: 15 May 2023
Abstract
Purpose
The purpose of this paper is to develop the linguistic q-rung orthopair fuzzy set (LqROFS) information VIKOR method based on the bi-direction Choquet integral (BDCI), taking into account the correlation between information. The method can enrich the existing studies related to LqROFS information and better solve the problem of MAGDM problem.
Design/methodology/approach
Since applying Choquet integral (CI) depict information interaction is a common operation in MAGDM. However, the traditional CI has some limitations. The unidirectional alignment may affect the MAGDM results. Therefore, a LqROFS-VIKOR method based on BDCI is proposed, where BDCI is used to aggregate the decision matrix. Furthermore, it is not reasonable to apply exact numbers to express the similarity between two qualitative data. Then a new method of defining similarity using linguistics is proposed. The similarity is used to calculate attribute weights.
Findings
The validity and potential application of MAGMD method with linguistic q-rung orthopair fuzzy information based on BDCI are demonstrated in a numerical examples study.
Originality/value
According to the study of available literature, the current research on LqROFS is incomplete. The existing studies of both similarity and aggregate operators have certain shortcomings. The definition of similarity proposed in this paper is more in line with reality. And compared with the existing methods, the BDCI-based aggregate operator can describe the interaction between information more reasonably. Based on this VIKOR method based on BDCI under the LqROFS environment can better select the alternative.
Keywords
Acknowledgements
This work was supported by the Science and Technology Innovation Special Fund Project of Fujian agriculture and Forestry University (No. CXZX2019121S), the Natural Science Foundation of Fujian Province (No. 2020J01576), China Postdoctoral Science Foundation (No. 2019M660242) and the Science and Technology Innovation Special Fund Project of Fujian agriculture and Forestry University (No. CXZX2020110A).
Citation
Weng, L., Lin, J. and Lv, S. (2023), "Multi-attribute group decision-making method with linguistic q-rung orthopair fuzzy information based on bi-direction Choquet integral", International Journal of Intelligent Computing and Cybernetics, Vol. 16 No. 2, pp. 341-363. https://doi.org/10.1108/IJICC-07-2022-0188
Publisher
:Emerald Publishing Limited
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