Some Special Features of Relative Intuitionistic Dynamical Systems

Abstract

This study has investigated the properties of the relative intuitionistic dynamical systems, and a series of essential properties, including (αβ, ⟨μ, v⟩)−hole, ⟨μ, v⟩_αβ−minimal, and ⟨μ, v⟩_αβ−transitive, are introduced and examined. In this paper, it has also been specified in which conditions the relative intuitionistic dynamical system is an invariant system. Finally, an example of the relative intuitionistic dynamical system is presented, and its topologic properties are analyzed.

Key words and phrases. Relative Intuitionistic Dynamical System, ⟨μ, v⟩_αβ−Minimal, ⟨μ, v⟩_αβ−Transitive, (αβ, ⟨μ, v⟩)−Hole.

2010 Mathematics Subject Classification. 37A99, 37A20