Title: raph Based Generalized Approximation Spaces
Authors: Y?usief S. Eassa
Volume: 10
Issue: 4
Pages: 141-144
Publication Date: 2026/04/28
Abstract:
This study introduces a novel framework for generalized approximation spaces induced by graph structures. By defining dual neighborhood functions for each vertex, we construct new approximation operators and corresponding graph-induced spaces. The paper explores lower and upper approximations, boundary regions, and accuracy measures, offering a rigorous mathematical foundation. This approach extends classical rough set theory to graph-theoretic contexts, providing new insights into network analysis and discrete structures.