Preservation of fuzzy relation properties based on fuzzy conjunctions and disjunctions during aggregation process

In this contribution, necessary and sufficient conditions for n-argument functions to preserve properties of fuzzy relations during aggregation process are presented. The proposed properties depend on binary operations including t-norms and t-conorms and, more generally, fuzzy conjunctions and disjunctions. Generalizations of the following properties are studied: antisymmetry, asymmetry, connectedness, transitivity, negative transitivity, semitransitivity, and Ferrers property.