Duas classes de implicações geradas por somas ordinais

Abstract

This thesis aims to contribute to the theory of ordinal sum implications by introducing two new classes: the minor ordinal sum implications and the major ordinal sum implications. Diverse construction methods employed in generating examples of these two new classes are presented. Methods of generating aggregation functions by means of ordinal sum are presented and one of these methods is used to construct ordinal sum implications. Some methods of constructing ordinal sums of implications that may be neither major nor minor are also presented. Furthermore, the thesis extends its contribution by providing examples of major and minor ordinal sum implications within some of the main classes of fuzzy implications, including (S,N)-implications, (T,N)-implications, QL-implications, and D-implications.