Next Article in Journal
Dual Hesitant Fuzzy Probability
Previous Article in Journal
Enhanced Joint and Separable Reversible Data Hiding in Encrypted Images with High Payload
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle
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
Author to whom correspondence should be addressed.
Received: 19 December 2016 / Revised: 10 March 2017 / Accepted: 22 March 2017 / Published: 29 March 2017
View Full-Text   |   Download PDF [317 KB, uploaded 30 March 2017]


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).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top