Single-Point Characterization of Uninorms with Nilpotent Underlying T-Norm and T-Conorm

Abstract

Uninorms, as binary operations on the unit interval, have been widely applied in fuzzy set theory. In this paper, we study uninorms with nilpotent underlying t-norm and t-conorm. We prove that such a uninorm belongs to [Formula: see text] or [Formula: see text]. Moreover, some construction methods of uninorms from given t-norm and t-conorm are discussed.