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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 Strongdoi:10.9790/5728-1205053743 fatcat:a4adkhgb4bcjpjsqjg6c2tkamm