On distance and correlation measures of hesitant fuzzy information

Z Xu, M Xia - International Journal of Intelligent Systems, 2011 - Wiley Online Library
A hesitant fuzzy set, allowing the membership of an element to be a set of several possible
values, is very useful to express people's hesitancy in daily life. In this paper, we define the …

New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making

D Li, W Zeng, J Li - Engineering applications of artificial intelligence, 2015 - Elsevier
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 …

Distance and similarity measures between hesitant fuzzy sets and their application in pattern recognition

W Zeng, D Li, Q Yin - Pattern Recognition Letters, 2016 - Elsevier
In this paper, we take into account the hesitance degree of hesitant fuzzy sets, introduce the
concept of hesitance degree of hesitant fuzzy element which describes the decision maker's …

Note on distance measure of hesitant fuzzy sets

D Li, W Zeng, Y Zhao - Information Sciences, 2015 - Elsevier
Distance measure is an important tool for distinguishing the difference between two objects.
To study the applications of hesitant fuzzy sets, several distance measures between hesitant …

Correlation coefficients of hesitant fuzzy sets and their application based on fuzzy measures

F Meng, X Chen - Cognitive Computation, 2015 - Springer
In this paper, several new correlation coefficients of hesitant fuzzy sets are defined, not
taking into account the length of hesitant fuzzy elements and the arrangement of their …

Distance and similarity measures for hesitant fuzzy sets

Z Xu, M Xia - Information sciences, 2011 - Elsevier
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 …

Novel correlation coefficients between hesitant fuzzy sets and their application in decision making

H Liao, Z Xu, XJ Zeng - Knowledge-Based Systems, 2015 - Elsevier
Hesitant fuzzy set (HFS) is now attracting more and more scholars' attention due to its
efficiency in representing comprehensively uncertain and vague information. Considering …

Distance and similarity measures for higher order hesitant fuzzy sets

B Farhadinia - Knowledge-Based Systems, 2014 - Elsevier
In this study, we extend the hesitant fuzzy set (HFS) to its higher order type and refer to it as
the higher order hesitant fuzzy set (HOHFS). HOHFS is the actual extension of HFS that …

Novel correlation coefficient between hesitant fuzzy sets with application to medical diagnosis

X Liu, Z Wang, S Zhang, H Garg - Expert Systems with Applications, 2021 - Elsevier
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 …

[图书][B] Hesitant fuzzy sets theory

Z Xu - 2014 - Springer
When people make a decision, they are usually hesitant and irresolute for one thing or
another which makes it difficult to reach a final agreement. For example, two decision …