计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (12): 42-45.DOI: 10.3778/j.issn.1002-8331.2010.12.011

• 研究、探讨 • 上一篇    下一篇

n值GÖdel逻辑系统中的随机化研究

袁彦莉,张兴芳,李成允   

  1. 聊城大学 数学科学学院,山东 聊城 252059
  • 收稿日期:2008-10-30 修回日期:2009-01-04 出版日期:2010-04-21 发布日期:2010-04-21
  • 通讯作者: 袁彦莉

Stochastic study in n-value GÖdel logic system

YUAN Yan-li,ZHANG Xing-fang,LI Cheng-yun   

  1. School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China
  • Received:2008-10-30 Revised:2009-01-04 Online:2010-04-21 Published:2010-04-21
  • Contact: YUAN Yan-li

摘要: 利用赋值集的随机化方法,在n值GÖdel逻辑系统中提出了公式的随机真度,证明了所有公式的随机真度集在[0,1]中没有孤立点;给出了两公式间的DGn-相似度与伪距离的概念,并建立了DGn-逻辑度量空间,证明了此空间没有孤立点.

Abstract: DGn-stochastic truth degree of formulas in n-value logic DGn is presented by using stochastic method on evaluation sets.It is proved that the set of stochastic truth degree of all formulas has no isolated point.The conceptions of DGn-similarity degree and pseudo-metric on two formulas are given.DGn-logic metric space is built and in which there is no isolated point.

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