Total Semi - µ Strong (Weak) Domination in Intuitionistic Fuzzy Graph

In the initial stage we proposed the concept of Total Strong (Weak) domination in Fuzzy graph. It deal with the real time application that helps a individual person in crossing a road traffic signal. We will be giving a single value for vertices and edges. Enhancing the same concept, the Total Strong (Weak) domination in Intuitionistic Fuzzy graph was proposed. Here we will be giving a double value for the vertices and edges. Now in this paper, we demonstrate the concept of Total Semi- µ Strong (Weak) domination in Intuitionistic Fuzzy Graph. Theoretically Semi- µ Strong intuitionistic fuzzy graphs took minimum value between the two edges. Also we have proved some equivalent theorems and examples. Index Terms: Intuitionistic Fuzzy graph, Strong (Weak) intuitionistic fuzzy graph, Total Strong (Weak) IFG, Total Semi - µ Strong (Weak) Domination in IFG, Fuzzy domination number. MSC2016 codes - 05C72, 05C69, 03E72, 03F55