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Soft Computing

, Volume 23, Issue 2, pp 419–430 | Cite as

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

  • Jian-qiang WangEmail author
  • Juan-juan Peng
  • Hong-yu Zhang
  • Xiao-hong Chen
Methodologies and Application

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.

Keywords

Multi-criteria decision-making Hesitant interval-valued fuzzy sets Outranking relations of hesitant interval-valued fuzzy sets Outranking approach 

Notes

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).

Compliance with Ethical Standards

Conflict of interest

No potential conflict of interest was reported by the authors.

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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Jian-qiang Wang
    • 1
    Email author
  • Juan-juan Peng
    • 1
    • 2
  • Hong-yu Zhang
    • 1
  • Xiao-hong Chen
    • 1
  1. 1.School of BusinessCentral South UniversityChangshaChina
  2. 2.School of Economics and ManagementHubei University of Automotive TechnologyShiyanChina

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