On Some Topological Spaces Based On Symbolic n-Plithogenic Intervals

 Raed Hatamleh^*, Ayman Hazaymeh

Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan

Emails: raed@jadara.edu.jo; aymanha@jadara.edu.jo

Abstract

In this paper, we present the topological space of intervals based symbolic m-plithogenic real numbers of orders between 2 and 5, where we clarify how m-plithogenic real intervals can be expressed according to the symbolic plithogenic partial order relation, and we use these intervals to build a topological space. On the other hand, many illustrated and related examples on open and closed sets will be provided to explain the validity of our approach.

Keywords: plithogenic number; topological space; open set, closed set; symbolic plithogenic interval.