计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (10): 28-30.DOI: 10.3778/j.issn.1002-8331.2010.10.009

• 研究、探讨 • 上一篇    下一篇

模糊蕴涵的逼近性

王 丹1,覃 锋1,李伟才2   

  1. 1.江西师范大学 数学与信息科学学院,南昌 330022
    2.石家庄学院 数学与信息科学系,石家庄 050035
  • 收稿日期:2009-03-23 修回日期:2009-05-13 出版日期:2010-04-01 发布日期:2010-04-01
  • 通讯作者: 王 丹

On convergence of fuzzy implications

WANG Dan1,QIN Feng1,LI Wei-cai2   

  1. 1.College of Mathematics and Information Science,Jiangxi Normal University,Nanchang 330022,China
    2.College of Mathematics and Information Science,Shijiazhuang University,Shijiazhuang 050035,China

  • Received:2009-03-23 Revised:2009-05-13 Online:2010-04-01 Published:2010-04-01
  • Contact: WANG Dan

摘要: 证明了模糊蕴涵的收敛性与一致收敛性等价,借助所有的强否定刻画了任意连续蕴涵。特别地,发现了S-蕴涵完全被定义域中对角线上的值所决定。此外,还给出了一种新的构造模糊蕴涵的方法。

关键词: 模糊蕴涵, 连续性, 一致收敛

Abstract: This paper proves that convergence of fuzzy implications is equivalent with the uniform convergence of them,and then characters any continuous implications by means of all strong negations.Specially,it is found that any S-implication is fully determined by its value on the diagonal line in domain of definition.Moreover,a new method to construct fuzzy implications is suggested.

Key words: fuzzy implications, continuity, uniform convergence

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