Title: Supra Topology and Rough Approximations Via Graphs in Generalized Approximation Space
Authors: Hassan H. Fandy Khalid Sh. Al'Dzhabri
Volume: 8
Issue: 12
Pages: 81-86
Publication Date: 2024/12/28
Abstract:
: In this paper, we introduce a new space called A-space, derived from the admixture vertex edges system on a graph G . We define the family of open sets in the A-space, which forms a supra topology on G . Furthermore, we present the definitions of key operators such as interior, closure, and boundary within this framework. We extend our work to introduce the concept of a generalized approximation space on graphs, defining the lower and upper approximations. Additionally, we discuss methods for calculating the accuracy of sub graphs, demonstrating the applicability of these structures in graph theory.