Kybernetika 40 no. 1, 21-38, 2004

Residual implications and co-implications from idempotent uninorms

Daniel Ruiz and Joan Torrens


This paper is devoted to the study of implication (and co-implication) functions defined from idempotent uninorms. The expression of these implications, a list of their properties, as well as some particular cases are studied. It is also characterized when these implications satisfy some additional properties specially interesting in the framework of implication functions, like contrapositive symmetry and the exchange principle.