A novel alpha-cut representation for type-2 fuzzy sets

Alpha-cuts and the extension principle form a methodology for extending mathematical concepts from crisp sets to fuzzy sets. They have been applied to many operations, and have also been extended to interval valued fuzzy sets. Recently, some researchers defined new representations of type-2 fuzzy sets, namely, the alpha-plane representation and the zSlice representation. In this paper we investigate an alternative representation utilising alpha-cuts and the extension principle for interval valued fuzzy sets and type-2 fuzzy sets.