Corresponding relations between generalized t-norms and generalized residuated implications

doi:10.3778/j.issn.1002-8331.2010.02.007

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (2): 22-24.DOI: 10.3778/j.issn.1002-8331.2010.02.007

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Corresponding relations between generalized t-norms and generalized residuated implications

LI Bi-jing^1，2，WANG Guo-jun¹

1.College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China
2.Department of Mathematics，Baoji College of Arts and Sciences，Baoji，Shaanxi 721007，China

Received:2009-09-21 Revised:2009-10-30 Online:2010-01-11 Published:2010-01-11
Contact: LI Bi-jing

广义三角模和广义剩余蕴涵之间的对应关系

李璧镜^1，2，王国俊¹

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

通讯作者: 李璧镜

Abstract

Abstract: 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.

Key words: generalized t-norm, generalized residuated implication, residuated pair

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。

关键词: 广义三角模, 广义剩余蕴涵, 伴随对

CLC Number:

O142

LI Bi-jing^1，2，WANG Guo-jun¹. Corresponding relations between generalized t-norms and generalized residuated implications[J]. Computer Engineering and Applications, 2010, 46(2): 22-24.

李璧镜^1，2，王国俊¹. 广义三角模和广义剩余蕴涵之间的对应关系[J]. 计算机工程与应用, 2010, 46(2): 22-24.

Corresponding relations between generalized t-norms and generalized residuated implications

广义三角模和广义剩余蕴涵之间的对应关系

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