Domination Parameters in Intuitionistic Fuzzy Zero-Divisor Graphs

Abstract

In this paper, we extend the theory of domination to the setting of Intuitionistic Fuzzy Zero-Divisor Graphs (IFZDGs). We define dominating sets, minimal dominating sets, domination numbers, independent domination and total domination numbers, edge domination and total edge domination in the IFZDG framework. Structural results are proved, including explicit values for domination parameters of the canonical IFZDGs [Formula: see text] and [Formula: see text].