A Special Type Of Minimal Dominating Fuzzy Graph

Document Type : Primary Research paper


P.G. & Research Department of Mathematics Jamal Mohamed College (Autonomous) (Affiliated to Bharathidasan University) Tiruchirappalli-620020, India


In this paper we introduce a new type of Fuzzy Dominating Graph such as Minimal Dominating Fuzzy Graph. The minimal dominating Fuzzy graph is denoted by MDF(G): (σm,μm) and is defined to be the intersection fuzzy graph on the minimal dominating sets of vertices in Fuzzy Graph. And characterizations are given for fuzzy graphs whose dominating fuzzy graph is connected and complete. Some other results are established relating to this new Fuzzy Graph.