Similarity degree and pseudo-distance of probability truth degree for formulas

doi:10.3778/j.issn.1002-8331.2010.27.015

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (27): 57-61.DOI: 10.3778/j.issn.1002-8331.2010.27.015

• 研究、探讨 • Previous Articles Next Articles

Similarity degree and pseudo-distance of probability truth degree for formulas

YU Xi-chang1，CHEN Huai-jin2，TAN Gui-mei3

1.Liaocheng Vocational and Technical College，Liaocheng，Shandong 252000，China
2.Liaocheng People’s Hospital，Liaocheng，Shandong 252000，China
3.Library of Liaocheng University，Liaocheng，Shandong 252059，China

Received:2009-03-17 Revised:2009-06-05 Online:2010-09-21 Published:2010-09-21
Contact: YU Xi-chang

公式概率真度的相似度及伪距离

于西昌¹，陈怀进²，谭桂梅³

1.聊城职业技术学院，山东聊城 252000
2.山东省聊城市人民医院，山东聊城 252000
3.聊城大学图书馆，山东聊城 252059

通讯作者: 于西昌

Abstract

Abstract: By introducing the concepts of valuation density function and edge density function，a definition of probability truth degree for formula in the continuous value propositional logic L* is proposed，some inference rules of probability truth degree are studied.On this groundwork，three similarities are given which discusses the properties of the relationship.By introducing similarity degree，the definition of pseudo-distance is proposed.And the structure and properties of logical metric space are discussed in details.Thus the basis for the inference degree’s numerical is proved.

Key words: valuation density, probability truth degree, inference rule, similarity degree, pseudo-distance

摘要： 通过引入赋值密度函数、边缘密度函数等概念，给出了连续值命题逻辑系统L*中公式概率真度的定义，研究了概率真度的推理规则，在此基础上给出了三种相似度，讨论了其性质及关系，并由此定义了三种伪距离，讨论了逻辑度量空间的结构及性质，为推理程度的数值化提供了依据。

关键词: 赋值密度函数, 概率真度, 推理规则, 相似度, 伪距离

CLC Number:

O141.1

YU Xi-chang1，CHEN Huai-jin2，TAN Gui-mei3. Similarity degree and pseudo-distance of probability truth degree for formulas[J]. Computer Engineering and Applications, 2010, 46(27): 57-61.

于西昌¹，陈怀进²，谭桂梅³. 公式概率真度的相似度及伪距离[J]. 计算机工程与应用, 2010, 46(27): 57-61.

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Similarity degree and pseudo-distance of probability truth degree for formulas

公式概率真度的相似度及伪距离

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