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

Zahra Eslami Giski   and Mohamad Ebrahimi

doi:10.17485/ijst/2015/v8i23/54258

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

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i23/54258

Year: 2015, Volume: 8, Issue: 23, Pages: 1-6

Original Article

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

Zahra Eslami Giski^1* and Mohamad Ebrahimi²

¹Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran; [email protected]
² The Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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.
Keywords: Dynamical System, Relative Intuitionistic Dynamical System, Relative Intuitionistic Topological Entropy, Topological Entropy