An Overview on the Basic Concepts of Multiple Topological Spaces

A multiple set is an extended version of a fuzzy set that can handle the uncertainty of an element along with its multiplicity. Multiple sets provide a significant advantage over fuzzy sets by allowing multiple occurrences of elements, each with a finite number of the same or different membership values. Multiple topological space is a generalized version of fuzzy topological space. We try to expand on the ideas based on multiple topological spaces in this study. We will focus on the key ideas of an interior, closure, continuity, open set, closed set, denseness, and multiple points to keep things brief. Additionally, we have proven a few intriguing conclusions based on these topological ideas.