Domination on Bipolar Fuzzy Graph Operations: Principles, Proofs, and Examples

Journal Title: Neutrosophic Systems with Applications - Year 2024, Vol 17, Issue 1

Abstract

Bipolar fuzzy graphs, capable of capturing situations with both positive and negative memberships, have found diverse applications in various disciplines, including decision-making, computer science, and social network analysis. This study investigates the domain of domination and global domination numbers within bipolar fuzzy graphs, owing to their relevance in these aforementioned practical fields. In this study, we introduce certain operations on bipolar fuzzy graphs, such as intersection, join, and union of two graphs. Furthermore, we analyze the domination number and the global domination number for various operations on bipolar fuzzy graphs, including intersection, join, and union of fuzzy graphs and their complements.

Authors and Affiliations

Haifa Ahmed, Mohammed Alsharafi

Keywords

Related Articles

Leveraging Neutrosophic Uncertainty Theory toward Choosing Biodegradable Dynamic Plastic Product in Various Arenas

Numerous studies in recent years have documented the negative effects of plastic waste on the environment and human wellness. Due to their widespread usage in daily life, particularly in packaging, and their rising direc...

BER Analysis of BPSK Modulation Scheme for Multiple Combining Schemes over Flat Fading Channel

Focus of the study was to provide error-free communication in mobile communication with higher data rates, spectral efficiency, and energy efficient. Basically, work was done to investigate the performance of the Binary...

Separation Axioms in Neutrosophic Topological Spaces

In this article, we first establish some results based on single-valued neutrosophic sets. Next, we define a subspace topology in a neutrosophic topological space and investigate some properties. We then define the neutr...

Intelligent Healthcare: Evaluation Potential Implications of Metaverse in Healthcare Based on Mathematical Decision-Making Framework

The Metaverse has the ability to restructure and change the manner in which individuals connect with one another as well as the activities that they carry out on a daily basis. One definition of a Metaverse describes it...

New Types of Soft Sets” HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set”: An Improved Version

This is an improved paper of [10], where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.

Download PDF file
  • EP ID EP735010
  • DOI https://doi.org/10.61356/j.nswa.2024.17245
  • Views 15
  • Downloads 0

How To Cite

Haifa Ahmed, Mohammed Alsharafi (2024). Domination on Bipolar Fuzzy Graph Operations: Principles, Proofs, and Examples. Neutrosophic Systems with Applications, 17(1), -. https://europub.co.uk/articles/-A-735010