category of (pom)l-fuzzy graphs and hypergraphs

in this note by considering a complete lattice l, we define thenotion of an l-fuzzy hyperrelation on a given non-empty set x. then wedefine the concepts of (pom)l-fuzzy graph, hypergraph and subhypergroupand obtain some related results. in particular we construct the categories ofthe above mentioned notions, and give a (full and faithful) functor form thecategory of (pom)l-fuzzy subhypergroups ((pom)l-fuzzy graphs) into thecategory of (pom)l-fuzzy hypergraphs. also we show that for each finiteobjects in the category of (pom)l-fuzzy graphs, the coproduct exists, andunder a suitable condition the product also exists.