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Interval-Valued Intuitionistic Uncertain Linguistic Multi-attribute Decision-Making Method for Plant Location Selection with Partitioned Hamy Mean

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Abstract

Plant location selection (PLS) is a typical and complex multi-attribute group decision-making (MAGDM) problem, which requires consideration of several alternatives and multiple attributes. However, existing research results on PLS lack sufficient consideration of complex relationship patterns between attributes, which often leads to inaccurate decision results. Thus, in this paper, a new MAGDM technique is proposed to solve the problem of PLS, in which complex interrelationship structures exist between multi-inputs and attribute values are represented as interval-valued intuitionistic uncertain linguistic variables (IVIULVs). First, to solve the shortcomings of the existing operations, some new operational rules are redefined for IVIULVs based on linguistic scale functions and Archimedean T-conorms and T-norms. These new rules of operation hold the closedness, and are flexible for semantic transformation processing. Then, to more accurately reflect the partition structure and the complex interrelationship pattern among multi-input arguments, we extend the traditional Hamy mean and propose the partitioned Hamy mean (PHAM), which can eliminate the impact of unrelated attributes on the results and meet the semantic conversion needs of different decision makers. Furthermore, we develop two new fuzzy linguistic aggregation operators: interval-valued intuitionistic uncertain linguistic PHAM (IVIULPHAM) and its weighted version (IVIULWPHAM). Finally, a novel MAGDM technique (IVIUL-MAGDM) based on the IVIULWPHAM operator is proposed to solve the problem of PLS. Several examples of PLS are also illustrated to show the validity and advantages of the IVIUL-MAGDM method by comparing with the other existing MAGDM methods.

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Acknowledgements

This study was Funded by the Humanities and Social Sciences Research Project of Ministry of Education of China (No. 17YJA630065), the Shandong Provincial Natural Science Foundation of China (No. ZR2017MG007), the Project of Shandong Province Higher Educational Science and Technology Program (No. J16LN25), the National Science Foundation of China (No. 71771140), and the Special Funds of Taishan Scholars Project of Shandong Province (No. ts201511045).

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Authors and Affiliations

  1. School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, China

    Zhengmin Liu, Hongxue Xu, Peide Liu, Lin Li & Xiaolan Zhao

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  1. Zhengmin Liu
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  2. Hongxue Xu
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Correspondence to Zhengmin Liu.

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Liu, Z., Xu, H., Liu, P. et al. Interval-Valued Intuitionistic Uncertain Linguistic Multi-attribute Decision-Making Method for Plant Location Selection with Partitioned Hamy Mean. Int. J. Fuzzy Syst. 22, 1993–2010 (2020). https://doi.org/10.1007/s40815-019-00736-5

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