Entropy and informational energy of finite fuzzy partitions

Using an additive fuzzy measure, a notion of the entropy of a fuzzy partition has been defined [2]. We have used this notion of entropy to sketch a Fuzzy Information Theory [5] and a Fuzzy Ergodic Theory [7], [8], [10], and for clustering purposes [4]. It has been proved that the entropy of a fuzzy dynamical system is an isomorphism invariant.