Local Divergences for Atanassov Intuitionistic Fuzzy Sets


The comparison of Atanassov intuitionistic fuzzy sets (AIF-sets) is a topic that has been widely studied thanks to its many applications in image segmentation or decision making, among other fields. Divergences for AIF-sets (AIF-divergences) were introduced as an adequate live of comparison for AIF-sets. This study investigates a family of AIF-divergences that satisfies a local property. Such a property permits 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 native divergence are discussed. Some applications of those AIF-divergences in pattern recognition and call making illustrate their utility.

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