Abstract
In this paper we introduced the concepts of global domination number and global domatic number in product fuzzy graph and is denoted by γg(G) and dg(G), respectively we determine the global domination number γg(G) for several classes of product fuzzy graph and obtain Nordhaus-Gaddum type results for this parameter. Further, some bounds of γg(G) and dg(G) are investigated. Also the relations between γg(G)(dg(G)) and other known parameter in Product fuzzy graphs are investigated. Finally we introduce the concept of global full number and some results about this concept in product fuzzy graph are done.
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