Aggregation Operators on Bounded Trellises

Abstract

This master memory examines some mathematical relational structures related to ordered sets, lattices, and trellises (or weakly associative lattices) as a generalization of lattices. In particular, we focuses on pseudo-ordered sets and trellises, presenting their main properties, binary operations defined on them, and some related subsets. Finally, we study some associative operators on bounded lattices and trellises, examining the most common properties of these operators, we pay particular attention to the notions of t-norm and t-conorm operations, and their construction methods. It also highlights their importance in fuzzy logic, decision-making and modern mathematical applications.