Domination in bipolar fuzzy soft graphs

Article type: Research Article

Authors: Amin, Umair^a | Fahmi, Aliya^{a; *} | Yaqoob, Naveed^b | Farid, Aqsa^b | Hassan, Muhammad Arshad Shehzad^c

Affiliations: [a] Department of Mathematics, The University of Faisalabad, Faisalabad, Pakistan | [b] Department of Mathematics, Riphah International University, Islamabad, Pakistan | [c] Department of Electrical Engineering, The University of Faisalabad, Faisalabad, Pakistan

Correspondence: [*] Corresponding author. Aliya Fahmi, Department of Mathematics, The University of Faisalabad, Faisalabad 38000, Pakistan. E-mail: [email protected].

Abstract: The concept of domination in graphs is very ancient. Several types of notions of domination in graphs have been discussed by many researchers. In this work, the concept of domination and some notions of domination sets, minimal dominating sets, independence sets, and maximal independence sets are introduced in bipolar fuzzy soft graphs. Additionally, several properties of dominating sets are discussed and some theorems in bipolar fuzzy soft graphs are proved.

Keywords: Domination in bipolar fuzzy soft graphs, minimal domination set in bipolar fuzzy soft graphs, maximal independence set in bipolar fuzzy soft graphs

DOI: 10.3233/JIFS-236485

Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 3, pp. 6369-6382, 2024