Fuzzy Optimization and Decision Making

, Volume 12, Issue 4, pp 373–392

A VIKOR-based method for hesitant fuzzy multi-criteria decision making


DOI: 10.1007/s10700-013-9162-0

Cite this article as:
Liao, H. & Xu, Z. Fuzzy Optim Decis Making (2013) 12: 373. doi:10.1007/s10700-013-9162-0


Since it was firstly introduced by Torra and Narukawa (The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, 2009, pp. 1378–1382), the hesitant fuzzy set has attracted more and more attention due to its powerfulness and efficiency in representing uncertainty and vagueness. This paper extends the classical VIKOR (vlsekriterijumska optimizacija i kompromisno resenje in serbian) method to accommodate hesitant fuzzy circumstances. Motivated by the hesitant normalized Manhattan distance, we develop the hesitant normalized Manhattan \(L_p\)—metric, the hesitant fuzzy group utility measure, the hesitant fuzzy individual regret measure, and the hesitant fuzzy compromise measure. Based on these new measures, we propose a hesitant fuzzy VIKOR method, and a practical example is provided to show that our method is very effective in solving multi-criteria decision making problems with hesitant preference information.


Hesitant fuzzy set VIKOR Compromise solution  Hesitant fuzzy decision making 

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Antai College of Economics and ManagementShanghai Jiao Tong UniversityShanghaiChina
  2. 2.College of SciencesPLA University of Science and TechnologyNanjingChina

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