Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance

By Wen-Liang Hung, Miin-Shen Yang. Pattern Recognition Letters, 2004

603 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/5c826cbd8fe2338445d87121786c0282a04cf38a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Zeshui Xu
2. Meimei Xia
3. Huchang Liao
4. Bahram Farhadinia
5. Ronald R. Yager
6. Peide Liu
7. Xiao-Jun Zeng
8. Vladik Kreinovich

In Management Science and Operations Research

1. Zeshui Xu
2. Meimei Xia
3. Huchang Liao
4. Xiao-Jun Zeng
5. Bahram Farhadinia
6. Peide Liu
7. Guiwu Wei
8. Harish Garg

In Statistics and Probability

1. Zeshui Xu
2. Meimei Xia
3. Bahram Farhadinia
4. Huchang Liao
5. Xiao-Jun Zeng
6. Ronald R. Yager
7. Jun Ye
8. Guiwu Wei

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].”
• Handbook of Granular Computing (2008, methodology): “, specifying coexistence of local situations [100]; paper by Suraj in [15]) and given global constraints (e.”
• Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets (2013, background): “[10] W.L. Hung, M.S. Yang, Fuzzy entropy on intuitionistic fuzzy sets, International Journal of Intelligent Systems 21 (2006) 443–451.”
• Distance and similarity measures for hesitant fuzzy sets (2011, methodology): “Hung and Yang [11] and Grzegorzewski [10] suggested a lot of similarity measures for IFSs and interval-valued fuzzy sets based on the Hausdorff metric.”
• Hesitant fuzzy entropy and cross‐entropy and their use in multiattribute decision‐making (2012, neutral): “806 XU AND XIA S6(α, α ) = max i {|ασ (i) + ασ (lα−i+1) − 1|p} (22)”
• Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group (2009, background): “Hung and Yang (2004) developed some similarity measures between IFSs based on the Hausdorff from a different point of view.”
• Cosine similarity measures for intuitionistic fuzzy sets and their applications (2011, methodology): “On the other hand, Hung and Yang [12] proposed another method to calculate the distance between IFSs based on the Hausdorff distance and used it to generate several similarity measures between IFSs that are suited for use in linguistic variables.”