Local Divergences for Atanassov Intuitionistic Fuzzy Sets
Article Type
Research Article
Publication Title
IEEE Transactions on Fuzzy Systems
Abstract
The comparison of Atanassov intuitionistic fuzzy sets (AIF-sets) is a topic that has been widely studied due to its several applications in image segmentation or decision making, among other fields. Divergences for AIF-sets (AIF-divergences) were introduced as an adequate measure of comparison for AIF-sets. This study investigates a family of AIF-divergences that satisfies a local property. Such a property allows us to compute the divergence between AIF-sets pointwise. A characterization of those AIF-divergences satisfying the local property is provided. Several interesting properties of local divergence are also discussed. Some applications of these AIF-divergences in pattern recognition and decision making illustrate their utility.
First Page
360
Last Page
373
DOI
10.1109/TFUZZ.2015.2457447
Publication Date
4-1-2016
Recommended Citation
Montes, Ignacio; Janiš, Vladimir; Pal, Nikhil R.; and Montes, Susana, "Local Divergences for Atanassov Intuitionistic Fuzzy Sets" (2016). Journal Articles. 4278.
https://digitalcommons.isical.ac.in/journal-articles/4278
