Title :
Some results on the relationships between transitivity-related indicators of fuzzy relations
Author :
Wu, Caiping ; Wang, Liming
Author_Institution :
Coll. of Math., Taiyuan Univ. of Technol., Taiyuan, China
Abstract :
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.
Keywords :
fuzzy set theory; T-S-Ferrers property; T-S-semitransitivity; degree description; fuzzy relations; negative S-transitivity; transitivity related indicators; Cognition; Educational institutions; Fuzzy logic; Fuzzy systems; Knowledge engineering; Uncertainty; T-S-Ferrers indicator; T-S-semitransitivity indicator; T-transitivity indicator; asymmetry indicator; negative S-transitivity indicator;
Conference_Titel :
Uncertainty Reasoning and Knowledge Engineering (URKE), 2012 2nd International Conference on
Conference_Location :
Jalarta
Print_ISBN :
978-1-4673-1459-6
DOI :
10.1109/URKE.2012.6319554
