Study of Various Dominations in Bipolar Intuitionistic Anti Fuzzy Graphs
T. C. Mujeeburahman *
PG and Research Department of Mathematics, Jamal Mohamed College(Autonomous), (Affiliated to Bharathidasan University), Tiruchirapplli-620020, India.
R. Jahir Hussain
PG and Research Department of Mathematics, Jamal Mohamed College(Autonomous), (Affiliated to Bharathidasan University), Tiruchirapplli-620020, India.
*Author to whom correspondence should be addressed.
Abstract
Bipolar intuitionistic fuzzy graphs (BIFG) with perfectly connected domination are introduced in this study. The study also discusses the bipolar intuitionistic antifuzzy graphs (BIAFG) domination concepts. Additionally, the topic of 2-domination in BIAFG are explored. we developed the secure edge dominating set and its domination number in BIAFG also some results are derived with suitable examples.
Keywords: Bipolar domination, bipolar intuitionistic fuzzy graphs, 2-domination, secure edge domination