计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (2): 22-24.DOI: 10.3778/j.issn.1002-8331.2010.02.007

• 博士论坛 • 上一篇    下一篇

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. 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
  • 收稿日期:2009-09-21 修回日期:2009-10-30 出版日期:2010-01-11 发布日期:2010-01-11
  • 通讯作者: 李璧镜

Corresponding relations between generalized t-norms and generalized residuated implications

LI Bi-jing1,2,WANG Guo-jun1   

  1. 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

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

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

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