Some results on the relationships between transitivity-related indicators of fuzzy relations

摘要

In this paper, first we redefine a asymmetry indicator of fuzzy relations. Meanwhile, we present the degree description of a condition proposed by Peng et al. Then we mainly investigate the relationships between some transitivity-related indicators, particularly between those of T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property. With our research, some work done by Fodor and Peng et al. are extended to the degree description.