Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets

B Farhadinia - Information Sciences, 2013 - Elsevier
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 …

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 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 …

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 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 …

Distance and similarity measures for dual hesitant fuzzy sets and their applications in pattern recognition

Z Su, Z Xu, H Liu, S Liu - Journal of Intelligent & Fuzzy Systems, 2015 - content.iospress.com
Dual hesitant fuzzy set (DHFS) is a very comprehensive set which includes fuzzy set,
intuition fuzzy set and hesitant fuzzy set as its special cases. Distance and similarity …

Measures of probabilistic interval-valued intuitionistic hesitant fuzzy sets and the application in reducing excessive medical examinations

Y Zhai, Z Xu, H Liao - IEEE Transactions on Fuzzy Systems, 2017 - ieeexplore.ieee.org
Distance and similarity measures act as the links from the expression of fuzzy information to
various application fields such as decision making, cluster analysis, medical diagnosis, and …

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 …

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 …