Distance and similarity measures play a vital role to differentiate between two sets or
objects. Different distance and similarity measures had been proposed for hesitant fuzzy …

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 …

The distance measures of hesitant fuzzy elements (HFEs) h 1 (x) and h 2 (x) introduced in
the literature only cover the divergence of the values, but fail to consider the difference …

Up to now, various types of distance measures have been developed and investigated in-
depth for hesitant fuzzy sets (HFSs). The analytical study of the existing distance measures …

The distance measure based on hesitant fuzzy sets is an effective tool in the field of treating
similar objects where it distinguishes the difference between two objects. Several distance …

As a generalization of fuzzy set, hesitant fuzzy set (HFS) permits the membership of an
element to a set having a set of possible values. Distance is one of important tools in …

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 …

Similarity measure is a very important topic in fuzzy set theory. Torra (2010) proposed the
notion of hesitant fuzzy set (HFS), which is a generalization of the notion of Zadeh'fuzzy set …

The main purpose of this paper is to investigate the relationship between the entropy, the
similarity measure and the distance measure for hesitant fuzzy sets (HFSs) and interval …

In this paper, we propose a variety of distance measures for hesitant fuzzy sets, based on
which the corresponding similarity measures can be obtained. We investigate the …