PROCEEDINGS IPMU '08

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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