Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (23): 55-58.DOI: 10.3778/j.issn.1002-8331.2009.23.016

• 研究、探讨 • Previous Articles     Next Articles

Stochastic study in £ukasiewicz’s logic system

WANG Qing-ping1，ZHANG Xing-fang1，YU Hui-zeng2，ZHUANG Guang-ming1   

  1. 1.School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China
    2.No.2 Middle School of Liaocheng，Liaocheng，Shandong 252000，China
  • Received:2008-04-09 Revised:2008-07-10 Online:2009-08-11 Published:2009-08-11
  • Contact: WANG Qing-ping1

£ukasiewicz逻辑系统中的随机化研究

王庆平1，张兴芳1，于会增2，庄光明1   

  1. 1.聊城大学 数学科学学院，山东 聊城 252059
    2.聊城第二中学，山东 聊城 252000
  • 通讯作者: 王庆平

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Abstract: In this paper，DL-stochastic truth degree of formulas in £ukasiewicz’s logic 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 on [0，1].The conceptions of DL-similarity degree and pseudo-metric on two formulas are given.DL-logic metric space is built.And it is proved that this space has no isolated point.

Key words: DL-stochastic truth degree, DL-similarity degree, DL-logic metric space

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

关键词: DL-随机真度, DL-相似度, DL-逻辑度量空间

CLC Number: 

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