Abstract
Fuzzy soft set are introduced by author Molodtsov, which is solve imprecise problems in the field of engineering, social science, economic, medical secience and environment. This paper addresses the study of domination in fuzzy soft graphs. By using the concept of strength of a path, strength of connectedness and strong arc, domination set is established. The necessary and sufficient condition for the minimum domination set of FSG is investigated. Further some properties of independent domination number of FSG are obtained and the proposed concepts are described with suitable examples. Finally, we state and prove some results related to these concepts.
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