Some Class of Uninorms in Interval Valued Fuzzy Set Theory

Uninorms are an important generalization of triangular norms and triangular conorms. Uninorms allow the neutral element to lie anywhere in the unit interval rather than at zero or one as in the case of a t-norm and a t-conorm. Since interval valued fuzzy sets, Atanassov's intuitionistic fuzzy sets and L-I-fuzzy sets are equipollent, therefore in this paper we describe a generalization of uninorms on L-I. For example, we describe the structure of uninorms, discuss the possible values of the zero element for uninorms and of the neutral element, especially for decomposable uninorms.