A Revisit to Traces in Characterizing Properties of Fuzzy Relations

作者:Wang, Xuzhu*; Zhang, Caixia; Cheng, Yongqiang
来源:International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2014, 22(6): 865-877.
DOI:10.1142/S0218488514500469

摘要

In this paper, we focus on the characterizations of some properties of fuzzy relations by using the notions of traces. The investigation is two-fold. On one hand, we attempt to reformulate the results obtained by Fodor under weakened conditions. On the other hand, we present some new characterizations of properties, mainly T-asymmetry, T-S-semitransitivity and T-S-Ferrers property, in terms of traces.