S- and R-implications from uninorms continuous in ]0, 1[2 and their distributivity over uninorms

This work deals with two kinds of implications derived from uninorms continuous in ]0, 1[(2): S-implications and R-implications. In both cases, the general expression of such implications is found and several properties are studied. In particular, the distributivity of the S- and R-implications over conjunctive and disjunctive uninorms is investigated. (C) 2008 Elsevier B.V. All rights reserved.