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Math. Comput. Appl. 2016, 21(2), 22;

An Improved Interval-Valued Hesitant Fuzzy Multi-Criteria Group Decision-Making Method and Applications

School of Economics and Management, Southeast University, Nanjing 211189, Jiangsu, China
Office of Principal, Ningbo Radio & TV University, Ningbo 315016, Zhejiang, China
Author to whom correspondence should be addressed.
Academic Editor: Mehmet Ali Ilgın
Received: 11 March 2016 / Revised: 26 May 2016 / Accepted: 30 May 2016 / Published: 8 June 2016
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The Bonferroni mean (BM) can be used in situations where the aggregated arguments are correlated. BM is very useful for solving decision-making problems. For describing fuzziness and vagueness more accurately, the interval-valued hesitant fuzzy set (IVHFS), which is a generalization of the hesitant fuzzy set (HFS), can be used to describe the membership degrees with interval numbers. The aim of this paper is to propose the interval-valued hesitant fuzzy Bonferroni mean (IVHFBM) for aggregating interval-valued hesitant fuzzy information. Furthermore, the weighted form of IVHFBM (IVHFWBM) is forwarded and, hereby, a multi-criteria group decision-making (MCGDM) method is established. A case study on the problem of evaluating research funding applications in China is analyzed. A comparison between the proposed method and existing ones demonstrates its practicability. View Full-Text
Keywords: Bonferroni mean; HFS; IVHFS; MCGDM Bonferroni mean; HFS; IVHFS; MCGDM

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Ding, Z.; Wu, Y. An Improved Interval-Valued Hesitant Fuzzy Multi-Criteria Group Decision-Making Method and Applications. Math. Comput. Appl. 2016, 21, 22.

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