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Hesitant fuzzy linguistic linear programming technique for multidimensional analysis of preference for multi-attribute group decision making

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Abstract

Hesitant fuzzy linguistic term sets (HFLTSs), one of the extensions of the hesitant fuzzy sets, are used to deal with several possible linguistic values or richer expressions than a single term for an alternative, variable, etc. In this paper, we develop a new method called hesitant fuzzy linguistic Linear Programming Technique for Multidimensional Analysis of Preference (LINMAP), which combines the HFLTSs with LINMAP method. By the method, we can get the attributes weights and ideal solution. Furthermore, other generalizations of the method are provided in detail. A practical example is provided to show that our method is very effective in solving multi-criteria decision making problems with hesitant fuzzy linguistic information. Comparative analyses with TOPSIS method are also furnished to show the advantages of the proposed method.

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Acknowledgments

The authors are very grateful to the anonymous reviewers for their constructive comments and suggestions that have helped to improve the quality and presentation of this paper. This work was supported by National Natural Science Foundation of China (NSFC) Grants (Nos. 71101043, 71471056 and 71433003), the Fundamental Research Funds for the Central Universities (No. 2014B09214), Program for Excellent Talents in Hohai University, and State Scholarship Fund (No. 201406715021).

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Authors and Affiliations

  1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing, 210098, People’s Republic of China

    Yejun Xu, Aiwen Xu & Huimin Wang

  2. Business School, Hohai University, Jiangning, Nanjing, 211100, Jiangsu, People’s Republic of China

    Yejun Xu, Aiwen Xu & Huimin Wang

Authors
  1. Yejun Xu
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  2. Aiwen Xu
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  3. Huimin Wang
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Correspondence to Yejun Xu.

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Xu, Y., Xu, A. & Wang, H. Hesitant fuzzy linguistic linear programming technique for multidimensional analysis of preference for multi-attribute group decision making. Int. J. Mach. Learn. & Cyber. 7, 845–855 (2016). https://doi.org/10.1007/s13042-015-0417-7

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  • DOI: https://doi.org/10.1007/s13042-015-0417-7

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