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

作　　者：李璧镜[1,2] 王国俊[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062 [2]宝鸡文理学院数学系,陕西宝鸡721007

出　　处：《计算机工程与应用》2010年第2期22-24,85,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(No.10771129)~~

摘　　要：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.

关 键 词：广义三角模 广义剩余蕴涵 伴随对 

分 类 号：O142[理学—数学]