AbstTuct Coneerning with the topics of a fuzzy max order, a briefsurvey on orderi-g of fuzzy numbers is presented im this article, and we wil] consider an extensien to that of fuzzy sets. An extension of the fuzzy max order as a pseudo order is investigated and defined on a class of fuzzy sets on R" (n) 1). This order is developed by using a non-empLy closed convex cone and characterized by the projection into its dual cone. Especially a structure of the lattice can be illustrated with the class of rectang]e-type fuzzy sets.