In this paper a generalization of the concept of action is considered. This notion is based on a new algebraic structure called generalized groups. An action is deduced by imposing an Abelian condition on a generalized group. Generalized actions on normal generalized groups are also considered.
The aim of this paper is to extend the notion of topological entropy for fuzzy semidynamical systems created by a self-map on a fuzzy metric space. We show that if a metric space has two uniformly equivalent metrics, then fuzzy entropy is a constant up to these two metrics. We present a method to construct chaotic fuzzy semidynamical systems with arbitrary… (More)
In this paper the notion of fuzzy topological r-entropy as an extension of the notion of topological r-entropy is studied. It is proved that fuzzy topological r-entropy is an invariant object under uniformly fuzzy equivalent relation and fuzzy topological equivalent relation. 1. INTORODUCTION Entropy as a factor which determines the complexity of system has… (More)