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Symmetry 2017, 9(4), 47; doi:10.3390/sym9040047

Correlation Coefficients of Extended Hesitant Fuzzy Sets and Their Applications to Decision Making

School of Economics and Administration, Taiyuan University of Technology, Taiyuan 030024, China
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Received: 19 December 2016 / Revised: 10 March 2017 / Accepted: 22 March 2017 / Published: 29 March 2017
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Abstract

Extended hesitant fuzzy sets (EHFSs), which allow the membership degree of an element to a set represented by several possible value-groups, can be considered as a powerful tool to express uncertain information in the process of group decision making. Therefore, we derive some correlation coefficients between EHFSs, which contain two cases, the correlation coefficients taking into account the length of extended hesitant fuzzy elements (EHFEs) and the correlation coefficients without taking into account the length of EHFEs, as a new extension of existing correlation coefficients for hesitant fuzzy sets (HFSs) and apply them to decision making under extended hesitant fuzzy environments. A real-world example based on the energy policy problem is employed to illustrate the actual need for dealing with the difference of evaluation information provided by different experts without information loss in decision making processes. View Full-Text
Keywords: EHFSs; correlation; correlation coefficients; decision making EHFSs; correlation; correlation coefficients; decision making
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Lu, N.; Liang, L. Correlation Coefficients of Extended Hesitant Fuzzy Sets and Their Applications to Decision Making. Symmetry 2017, 9, 47.

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