模糊偏好关系的几种传递性的刻画

Characterization of transitivity properties of fuzzy preference relations

利用t余模S定义的模糊关系的S合成刻画了反向S传递性.利用t模T定义的T合成及其对偶S合成建立了T传递性、反向S传递性、S-T半传递性和S-TFerrers性的若干等价条件.

The authors use the S-composition with respect to a t-conorm S to characterize negative S-transitivity. By combining the T-composition with respect to a t-norm T and the dual S-composition, some interesting equivalent conditions for T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property are established.