Distance and similarity measures for hesitant fuzzy sets

By Zeshui Xu, Meimei Xia. Information Sciences, 2011

1,154 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/0ae5537c7e4e74cdd51311983ff12be1b812fcc0

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In Control and Systems Engineering

In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making (2014, methodology): “All these distance measures have been extended into fuzzy sets [23,35,39,40,42], intuitionistic fuzzy sets [2,7,11,17,28,29,38,43,47], interval-valued intuitionistic fuzzy sets [1,2,7,47], linguistic fuzzy sets [36,37,41,45] and HFSs [13,14,46].”
On distance and correlation measures of hesitant fuzzy information (2011, background): “For convenience, Xia and Xu 28 named α ( x ) a hesitant fuzzy element (HFE).”
Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information (2013, positive): “It is clear that Xu and Xia's extension rule is consistent with our extension rule when g = 1 and g = 0.”
Hesitant Fuzzy Sets: State of the Art and Future Directions (2014, methodology): “Xia and Xu presented in 17 two main aggregation operators, such as hesitant fuzzy weighted averaging and hesitant fuzzy weighted geometric, which are deﬁned as follows: D EFINITION 23 17 .”
Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making (2013, background): “Hesitant fuzzy set theory has been applied to several practical problems, primarily in the area of decision making [33,36,40,43,44,57,70].”
Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis (2013, methodology): “This idea has been successfully applied to distance and similarity measures for HFSs [33].”
Application of decision-making techniques in supplier selection: A systematic review of literature (2013, methodology): “Approaches Fuzzy integral Yang et al. (2008) Fuzzy SWOT Amin et al.”
Extension of VIKOR method for decision making problem based on hesitant fuzzy set (2013, background): “Xu and Xia [24,25] proposed a variety of distance measures for hesitant fuzzy sets, based on which the corresponding similarity measures can be obtained, and defined the distance and correlation measures for hesitant fuzzy information and discussed their properties in detail.”
Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets (2013, background): “Some distance measures given by Xu and Xia [35] are briefly described as follows: The hesitant normalized Hamming distance”
A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making (2014, background): “This approach keeps the basis of the fuzzy linguistic approach and extends the idea of hesitant fuzzy sets [28, 31] to linguistic contexts.”
Pythagorean fuzzy set: state of the art and future directions (2017, background): “2013) and the hybrid hesitant fuzzy weighted distance measure (Xu and Xia 2011), the main merit of the PFOWAWAD is its motility by allowing diverse degrees of relevance between the OWA and WA in integrating the distance measures, thereby enabling consideration of cases where the importance can be ap”