Study on division and subtraction operations for hesitant fuzzy sets, interval-valued hesitant fuzzy sets and typical dual hesitant fuzzy sets

B Farhadinia - Journal of Intelligent & Fuzzy Systems, 2015 - content.iospress.com
Hesitant fuzzy sets (HFSs), interval-valued hesitant fuzzy sets (IVHFSs) and typical dual
hesitant fuzzy sets (T-DHFSs) are new extensions of classical fuzzy sets (FSs) that have …

Some results for dual hesitant fuzzy sets

B Zhu, Z Xu - Journal of Intelligent & Fuzzy Systems, 2014 - content.iospress.com
Dual hesitant fuzzy sets (DHFSs), originally introduced by Zhu et al.[23], are a new tool to
handle fuzziness considering the membership and nonmembership degrees by a set of …

Distance measures for higher order dual hesitant fuzzy sets

J Chen, X Huang, J Tang - Computational and Applied Mathematics, 2018 - Springer
In this study, we propose new distance measures for dual hesitant fuzzy sets (DHFSs) in
terms of the mean, standard deviation of dual hesitant fuzzy elements (DHFEs), respectively …

Inclusion measure for typical hesitant fuzzy sets, the relative similarity measure and fuzzy entropy

H Zhang, S Yang - Soft Computing, 2016 - Springer
Typical hesitant fuzzy sets (THFSs), possessing a finite-set-valued fuzzy membership
degrees called typical hesitant fuzzy elements (THFEs), is a special kind of hesitant fuzzy …

Subtraction and division operations over hesitant fuzzy sets

H Liao, Z Xu - Journal of Intelligent & Fuzzy Systems, 2014 - content.iospress.com
Hesitant fuzzy set (HFS), which permits the membership having a set of possible values, has
turned out to be a powerful structure in expressing uncertainty and vagueness. In this paper …

Extended hesitant fuzzy sets

B Zhu, Z Xu - Technological and Economic Development of …, 2016 - Taylor & Francis
Hesitant fuzzy sets (HFSs) are a useful tool to manage situations in which the decision
makers (DMs) hesitate about several possible values for the membership to assess a …

Properties of interval-valued hesitant fuzzy sets

N Chen, Z Xu - Journal of Intelligent & Fuzzy Systems, 2014 - content.iospress.com
Interval-valued hesitant fuzzy sets (IVHFSs), as an extension of hesitant fuzzy sets, can
account for the membership degrees of an element to a given set having a few different …

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 …

[PDF][PDF] Cubic hesitant fuzzy sets and their applications to multi criteria decision making

T Mahmood, F Mehmood, Q Khan - International Journal of Algebra …, 2016 - academia.edu
In this paper we introduced cubic hesitant fuzzy set and defined internal (external) cubic
hesitant fuzzy set, P (R)-union and P (R)-intersection of cubic hesitant fuzzy sets …

Some studies on properties of hesitant fuzzy sets

M Xia, Z Xu - International Journal of Machine Learning and …, 2017 - Springer
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 …