As an extension of the fuzzy set, the hesitant fuzzy set (HFS) is an effective tool for handling
uncertainty and vagueness in decision making problems. Considering that the correlation …

Distance measure is an essential tool to characterize the difference between two samples.
Recently, lots of distance measures have been proposed for hesitant fuzzy sets (HFSs). In …

The previous correlation measures for hesitant fuzzy sets proposed in the literature only
capture the strength of the correlations. We present a new approach based on the classical …

Most of the existing correlation measures for fuzzy sets return the value one to reflect a
perfect linear relationship between objects, but they do not give us sufficient information …

Hesitant fuzzy set (HFS) permits several possible values as the membership degree of an
element to a set to express the decision makers' hesitance. Since its appearance, HFS has …

Distance and similarity measures are fundamentally important in a variety of scientific fields
such as clustering analysis, pattern recognition and decision making, etc. In this paper, by …

Correlation coefficients characterize relationships of various fuzzy sets and thus facilitate
relevant applications. Regarding correlation coefficients of hesitant fuzzy sets (HFSs), a …

The hesitant fuzzy sets (HFSs) are an extension of the classical fuzzy sets. The membership
degree of each element in a hesitant fuzzy set can be a set of possible values in the interval …

Due to the advantages in dealing with fuzziness and uncertainty, hesitant fuzzy sets have
attracted many attentions of researchers. To enlarge the range of their application, it is …

The dual hesitant fuzzy sets (DHFSs) were proposed by Zhu et al.(2012), which encompass
fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases …