Perfect Dominating Sets in Fuzzy Graphs
IOSR Journal of Mathematics · 2013
The basic definitions of fuzzy independent set, fuzzy dominating set and fuzzy independent dominating sets are discussed.In this paper we introduce the concept of perfect domination in fuzzy graphs and obtain some interesting results for this new parameter in fuzzy graphs and the aim of this paper is to find on what relations the fuzzy graph has perfect domination number and independent domination number.Finally, t h e i n de pe nde nt domination number for a connected fuzzy graph is obtained.