Domination Parameters in Intuitionistic Fuzzy Zero-Divisor Graphs

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].

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Publication Details

Journal
New Mathematics and Natural Computation
Published
2026-08-14
DOI
https://doi.org/10.1142/s1793005729500038
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
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article

Domination Parameters in Intuitionistic Fuzzy Zero-Divisor Graphs

Shiny Jose, Christy P. Antony
New Mathematics and Natural Computation
Fuzzy and Soft Set Theory
article

Domination Parameters in Intuitionistic Fuzzy Zero-Divisor Graphs

Shiny Jose, Christy P. Antony
article en

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].

New Mathematics and Natural Computation
Openalex Percentile: Top 6%
Fuzzy and Soft Set Theory
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