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

Authors:
Huchang Liao;Zeshui Xu
Affiliations:
Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai, China 200052;Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai, China 200052 and College of Sciences, PLA University of Science and Technology, Nanjing, China 210007
Venue:
Fuzzy Optimization and Decision Making
Year:
2013

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Abstract

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.