Kullback-Leibler divergence of partitions in hyperfuzzy sets

The main aim of this contribution is to de ne the notion of Kullback-leibler diver-gence and conditional Kullback-leibler divergence of partitions in hyperfuzzy sets andto derive the basic properties of the suggested measures. In addition, a convexity ofKullback-leibler divergence is studied.

Keywords:

Hyperfuzzy set , Hyperfuzzy partition , Entropy , Kullback-Leibler diver-gence.