An Overview of Distance and Similarity Measures of Intuitionistic Fuzzy Sets

By Zeshui Xu, Jing Chen. Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2008

361 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/6846db3a102f064840d310cf3ffa29cb65312f2a

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Citations in the corpus

Distance and similarity measures for hesitant fuzzy sets (2011, background): “Some authors [17,24,29,30,35,39] improved Li and Cheng’ method [15].”
New decision-making techniques and their application in the selection of financial products (2010, methodology): “Note that these aggregation operators can be used in a lot of other problems previously studied with the NHD [20], such as the calculation of distances between intuitionistic fuzzy sets [39,44,45] and interval-valued fuzzy sets.”
On distance and correlation measures of hesitant fuzzy information (2011, background): “8 For example, Grzegorzewski 9 proposed a distance measure between intuitionistic fuzzy sets 10 and/or interval-valued fuzzy sets 11 based on the Hausdorff metric.”
Hesitant fuzzy entropy and cross‐entropy and their use in multiattribute decision‐making (2012, neutral): “S6(ηα, γα) = max i {|ασ (i) + ασ (lα−i+1) − 1|p} (31)”
Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets (2013, methodology): “[34] Z.S. Xu, J. Chen, J.J. Wu, Clustering algorithm for intuitionistic fuzzy sets, Information Sciences 178 (2008) 3775–3790.”
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].”