Relationship between intuitionistic fuzzy similarity measures

Author(s):  
Leila Baccour ◽  
Adel M. Alimi ◽  
Robert I. John
2019 ◽  
Vol 10 (1) ◽  
pp. 1-37
Author(s):  
Pham Hong Phong ◽  
Vu Thi Hue

The article is concerned with integrating linguistic elements into fuzzy similarity measures and intuitionistic fuzzy similarity measure. Some new concepts are proposed: a fuzzy linguistic value (FLv), a fuzzy linguistic vector (FLV), an intuitionistic fuzzy linguistic vector (ILV) and similarity measures. The proposed measures are used to build classification algorithms. As predicted theoretically, experiments show that with the same type of similarity measures, the linguistic-aggregated similarity measures produce better results in classification problems.


2016 ◽  
Vol 25 (2) ◽  
pp. 221-237 ◽  
Author(s):  
Leila Baccour ◽  
Adel M. Alimi ◽  
Robert I. John

AbstractWe present some similarity and distance measures between intuitionistic fuzzy sets (IFSs). Thus, we propose two semi-metric distance measures between IFSs. The measures are applied to classification of shapes and handwritten Arabic sentences described with intuitionistic fuzzy information. The experimental results permitted to do a comparative analysis between intuitionistic fuzzy similarity and distance measures, which can facilitate the selection of such measure in similar applications.


2022 ◽  
Vol 14 (1) ◽  
pp. 0-0

Intuitionistic Fuzzy Sets(1986) invented by Atanassov(Atanassov, 1986) has gained the wide popularity among various researchers because of its applications in various fields such as image processing, edge detection, medical diagnosis, pattern recognition etc. One of the significant tool by which the decision can be made is Intuitionistic Fuzzy Similarity Measure. In this communication, the authors have introduced two new Intuitionistic fuzzy similarity measures based on the trigonometric functions and its validity is proved. The proposed similarity measure is applied to medical diagnosis and pattern recognition.


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