Abstract: A dominating set D
of a fuzzy graph is a split dominating set if the
induced fuzzy subgraph is disconnected. The split
domination number of G
is the minimum fuzzy cardinality of a split dominating set. In this paper, we
study a split dominating set of fuzzy graphs and investigate the relationship of
with other known parameters of G.
Keywords and phrases: split domination number, independence split domination number.