A note on fuzzy majority domination in fuzzy graphs
Keywords:
fuzzy, majority domination, fuzzy graphsAbstract
Let be a finite graph with vertices and edges. A subset of vertices in a graph is called a majority dominating set if at least half of the vertices of are either in or adjacent to vertices of . That is . Let be simple fuzzy graph. We introduce the concept of fuzzy majority dominating set for a fuzzy graph. A subset of a vertices in a fuzzy majority dominating set if , where is a order of . The minimum cardinality of fuzzy majority dominating set is called a fuzzy majority domination number and is denoted by . We determine the fuzzy majority domination number , for some graph . Also, we obtained the bounds for the fuzzy majority domination number.
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