Study Entropy of L-algebras

Abstract

In this paper, the concept of L-algebra is revisited and after that, the article is prepared to deal with the notion of the entropy of an L-algebra. If a set has an L-algebraic structure, it is possible to calculate the degree of uncertainty for an event called partition. Sometimes one calculate the degree of uncertainty of an event given another event, which is actually called the conditional entropy. Some propositions are given to calculate the entropy of a dynamical system.