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

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  • EP ID EP735010
  • DOI https://doi.org/10.61356/j.nswa.2024.17245
  • Views 70
  • 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