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In this paper, the concept of strong arc domination number is introduced by using membership values of strong arcs in fuzzy graphs. The strong arc domination number γ l s of classes of fuzzy graphs such as complete fuzzy graph and complete bipartite fuzzy graph, fuzzy cycle and fuzzy tree is determined. Also the relationship between the strong arc domination number and strong arc covering number of fuzzy graphs is discussed and bounds are obtained for the strong arc domination number of fuzzy graphs.

Arc domination in fuzzy graphs using strong arcs