On the structure of uninorms on L*

Pawel Drygas.

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, bifuzzy sets (intuitionistic fuzzy sets) and L*-fuzzy sets are equivalent, therefore in this paper we describe a generalization of uninorms on L*. For example, we discuss the possible values of the zero element for uninorms and of the neutral element for t-representable uninorms.

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