It is unquestionable that hesitant fuzzy set has developed into an important tool for handling
uncertain data. As a measure between data, hesitant fuzzy entropy is significant in the …

We introduce the concepts of entropy and cross‐entropy for hesitant fuzzy information, and
discuss their desirable properties. Several measure formulas are further developed, and the …

Probabilistic hesitant fuzzy sets (PHFSs)(Zhu in Decision method for research and
application based on preference relation, 2014.; Xu and Zhou in Fuzzy Optim Decis Making …

The probabilistic hesitant fuzzy sets (PHFSs), which have received a lot of attention and
have been widely used in many domains, are effective in describing hesitant evaluations …

In recent years, the concept of probabilistic hesitant fuzzy sets (P-HFSs) has been proposed
as an improvement of hesitant fuzzy sets (HFSs), which has the advantage of representing …

Hesitant fuzzy set (HFS) is a powerful decision tool to express uncertain information more
flexibly and comprehensively. The aim of this paper is to propose more reasonable …

The probabilistic hesitant fuzzy sets (P-HFSs) allow experts to express their preferences
regarding different membership degrees with probabilistic information. Fuzzy entropy is an …

As a powerful and efficient tool in expressing the indeterminate and fuzzy information, the
hesitant fuzzy set (HFS) has shown its increasing importance. It was first proposed by Torra …

In decision making problems, the hesitance of the decision maker to the same decision
object is reflected not only in the length of multiple possible memberships under, but also in …

In this paper, new entropy measures for hesitant fuzzy sets (HFSs) are proposed. Measuring
uncertainty for an HFS is computed by an amount of distinction between an HFS and its …