Semantic study of the use of parameterized S implications and equivalences in comparison

In this article, we will create some new classes of parameterized equivalences that we get from the different meanings of the fuzzy conjunction operators. We will concentrate on studying the class called S implications and equivalences, which rise from this class. We will present measures on the basis of the use of implications and equivalences with generalized mean operators. Test results concerning corresponding implications versus equivalences are established using an instance-based classification method. It is shown that the measures established by parameterization presented in this article will give very good results and that the equivalences are more suitable for classification than corresponding implications.