£ukasiewicz逻辑系统中的随机化研究

doi:10.3778/j.issn.1002-8331.2009.23.016

计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (23): 55-58.DOI: 10.3778/j.issn.1002-8331.2009.23.016

£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.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

收稿日期:2008-04-09 修回日期:2008-07-10 出版日期:2009-08-11 发布日期:2009-08-11
通讯作者: 王庆平

Stochastic study in £ukasiewicz’s logic system

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

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

摘要/Abstract

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D_L-相似度与伪距离的概念，并建立了D_L-逻辑度量空间，证明了此空间没有孤立点。

关键词: D_L-随机真度, D_L-相似度, D_L-逻辑度量空间

Abstract: In this paper，D_L-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 D_L-similarity degree and pseudo-metric on two formulas are given.D_L-logic metric space is built.And it is proved that this space has no isolated point.

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

中图分类号:

O14.1

王庆平¹，张兴芳¹，于会增²，庄光明¹.

£ukasiewicz逻辑系统中的随机化研究

[J]. 计算机工程与应用, 2009, 45(23): 55-58.

WANG Qing-ping¹，ZHANG Xing-fang¹，YU Hui-zeng²，ZHUANG Guang-ming¹. Stochastic study in £ukasiewicz’s logic system[J]. Computer Engineering and Applications, 2009, 45(23): 55-58.

£ukasiewicz逻辑系统中的随机化研究

Stochastic study in £ukasiewicz’s logic system

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