Logic Entropy of dynamical systems on an algebraic structure

The study of concept entropy is very important in the current sciences. In this paper we introduce the notions of logical entropy and logical conditional entropy for finite partitions on an algebraic structure. We prove some properties of them. We also define the concept logical entropy of a dynamical system and present some results about it. In this respect we introduce thegenerators of dynamical systems. A version of Kolmogorov-Sinai theorem concerning the logical entropy of a dynamical system is given. At end we prove that the logical entropy of dynamical systems is invariant under isomorphism.

کلیدواژه ها:

Logical entropy ، Conditional logical entropy ، Dynamical system