Aggregation Operators to Evaluate the Relevance of Classes in a Fuzzy Partition

Abstract

In this paper we propose a comparison process that allows evaluating the relevance of a class in a fuzzy partition. This process starts by forming a commutative group structure based on a fuzzy classification system. On this structure, proximity relations are proposed to establish the comparison process. As our proposal is based on a fuzzy classification system, i.e., recursive De Morgan triples, we study the properties that the operators of such triples must satisfy. Therefore, we propose the study of a property that we have called weakly self-dual.