Traces and property indicators of fuzzy relations

摘要

In this paper, we focus on the characterizations of various property indicators of fuzzy relations by means of left and right traces. The characterized indicators include those of reflexivity, T-asymmetry, S-completeness, T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property. The investigation can be regarded as an extension of and complement to the work done by Fodor on characterizing these properties in terms of traces.