The Concept of Topological Entropy from the Viewpoint of an Intuitionistic Observer

An accurate and vigilant observer is required to evaluate the changes in the nature. In mathematics, introducing a mathematical modeling to describe a natural dynamical system and a method to compare and evaluate different observers' perspectives is of utmost importance. Therefore, at the beginning of this paper the concept of topology from the viewpoint of an intuitionistic observer, which is defined as an intuitionistic fuzzy set, is introduced. Afterwards, the notion of entropy as a main tool determining the complexity and/or uncertainty of the system related to an intuitionistic observer is studied and some properties of these notions are proved. In addition, it is proved that the entropy related to an intuitionistic observer is an invariant object under conjugate relation.