Abstract
The t-norms are significant operations useful for fuzzy theory. The domains of t-norms are usually the closed interval [ 0, 1 ] or general lattices L . Specific sets except [ 0, 1 ] are rarely used as domains of t-norms. In this article, two-dimensional t-norms defined on the closed unit square [ 0, 1 ] times [ 0, 1 ] and multi-dimensional t-norms are studied. Some examples of them are shown. Moreover the generating functions of them are studied.