A Multiple Attribute Decision-Making Method Based On Free Double Hierarchy Hesitant Fuzzy Linguistic Information Considering the Prioritized and Interactive Attributes
Peide Liu (),
Mengjiao Shen,
Fei Teng,
Baoying Zhu and
Lili Rong
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Peide Liu: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China
Mengjiao Shen: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China
Fei Teng: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China
Baoying Zhu: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China
Lili Rong: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China
International Journal of Information Technology & Decision Making (IJITDM), 2021, vol. 20, issue 01, 225-259
Abstract:
As the development and extension of hesitant fuzzy linguistic term sets (HFLTSs), free double hierarchy hesitant fuzzy linguistic term sets (FDHHFLTSs) can describe the evaluation information in more detail. In addition, in practical multiple attribute decision-making (MADM) problems, priority relations and interaction relations usually exist among attributes, and the prioritized interactive Choquet (PIC) operator based on generalized prioritized measure-guided aggregation (GPMGA) operator and Choquet integral (CI) operator is an effective tool for dealing with decision-making problems with priority relations and interaction relations. Under the above contexts, we improve the PIC operator and propose the FDHHFLPIC operator which can aggregate the evaluation information under free double hesitant fuzzy linguistic environment and take both priority and interaction relations into account. Furthermore, we propose an approach based on the FDHHFLPIC operators to address the real MADM problem, and the proposed method considering the different relations between attributes in decision-making process. Finally, two numerical examples are given to demonstrate the effectiveness and advantages of the proposed method which can consider priority relations and interaction relations under the FDHHFLTSs.
Keywords: Free double hierarchy hesitant fuzzy linguistic term sets; prioritized aggregation operators; Choquet integral operator; multiple attribute decision-making (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijitdm:v:20:y:2021:i:01:n:s0219622020500467
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DOI: 10.1142/S0219622020500467
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