Preservation of t-norm and t-conorm based properties of fuzzy relations during aggregation process

Abstract

Abstract In the paper aggregations of fuzzy relations using functions of n variables are considered. After recalling properties of fuzzy relations, aggregation functions which preserve: reflexivity, irreflexivity, T-asymmetry, T-antisymmetry, symmetry, S-connectedness, T-transitivity, negative Stransitivity, T-S-semitransitivity and T-S-Ferrers property of fuzzy relations, where T is a t-norm and S is a t-conorm, are examined. © 2013. The authors-Published by Atlantis Press.