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Outranking approach for multi-criteria decision-making problems with hesitant interval-valued fuzzy sets

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Abstract

For decision makers, expressing their opinions through subintervals of [0, 1] is sometimes easier than using crisp numbers. This study defines some outranking relations derived by ELECTRE III for hesitant interval-valued fuzzy sets (HIVFSs). The properties of these outranking relations are discussed in detail. The concordance and discordance indexes of HIVFSs are then proposed. Ranking approach is developed based on the outranking relations of HIVFSs to handle multi-criteria decision-making problems. Finally, we provide practical examples, as well as sensitivity analysis and comparison with other techniques.

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Acknowledgements

The author would like to thank the editors and the anonymous referees for their valuable and constructive comments and suggestions that greatly help the improvement of this paper. This work was supported by the National Natural Science Foundation of China (Nos. 71571193 and 71701065) and the China Postdoctoral Science Foundation (No. 2017M610511).

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Authors and Affiliations

  1. School of Business, Central South University, Changsha, 410083, China

    Jian-qiang Wang, Juan-juan Peng, Hong-yu Zhang & Xiao-hong Chen

  2. School of Economics and Management, Hubei University of Automotive Technology, Shiyan, 442002, China

    Juan-juan Peng

Authors
  1. Jian-qiang Wang
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  2. Juan-juan Peng
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  3. Hong-yu Zhang
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  4. Xiao-hong Chen
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Correspondence to Jian-qiang Wang.

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Communicated by V. Loia.

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Wang, Jq., Peng, Jj., Zhang, Hy. et al. Outranking approach for multi-criteria decision-making problems with hesitant interval-valued fuzzy sets. Soft Comput 23, 419–430 (2019). https://doi.org/10.1007/s00500-017-2791-4

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