广义三角模和广义剩余蕴涵之间的对应关系

Corresponding relations between generalized t-norms and generalized residuated implications

进一步讨论了广义三角模和广义剩余蕴涵的对应性质,完善和修正了过去已有的一些定理结论,证明广义三角模和广义剩余蕴涵两者之间存在着两大类的对应关系,一类是可以构成伴随对的,而另一类则不能构成伴随对。

Further investigation of properties of generalized t-norm and generalized residuated implication have been studied.Some conlusions of existing theorems have been improved and correted.It is proved that there exists two categories of corresponding relations between generalized t-norms and generalized residuated implications,one of this two categories can form residutated pair, and the other not.