Abstract
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
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