t-operators
This paper looks over a class of operators introduced in ([2]), called t-operators. Introduced in order to be applied to fuzzy preorders, their properties lead them to be also appropriate in some fields like aggregation problems and expert systems. We characterize these operators as a special combination of a t-norm and a t-conorm on [0, 1] in a similar way of uninorms in ([5]). We study duality and self duality on t-operators with respect to a strong negation N. We also give a classification of continuous t-operators through ordinal sums. Finally, we obtain from some t-operators (those idempotent) a special kind of E.A.F. by extending them to E = boolean ORn greater than or equal to 1 [0,1](n).
t-operator t-norm t-conorm uninorm duality aggregation function