Truth degree theory of system L in space of unevenly distributed probability

doi:10.3778/j.issn.1002-8331.2010.36.015

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (36): 53-55.DOI: 10.3778/j.issn.1002-8331.2010.36.015

• 研究、探讨 • Previous Articles Next Articles

Truth degree theory of system L in space of unevenly distributed probability

XU Ge-ni

School of Statistics，Xi’an University of Finance and Economics，Xi’an 710061，China

Received:2009-09-14 Revised:2009-11-18 Online:2010-12-21 Published:2010-12-21
Contact: XU Ge-ni

系统L在非均匀概率空间下命题的真度理论

许格妮

西安财经学院统计学院，西安 710061

通讯作者: 许格妮

Abstract

Abstract: The definition of truth degree in the classic 2-valued propositional logic is popularized to the unevenly distributed probability space whose power is 2.It is proved that the set of truth degree of all formulas has no isolated point when p belongs to（0，1）.Moreover，the similarity degree and pseudo-distance between two formulas are defined by means of the concept of truth degree of propositions，and p-logic metric space is built.At last，three kinds of approximate reasoning model are presented.

Key words: measure theory, p-truth degree, p-similarity degree, p-logic metric space, approximate reasoning

摘要： 将经典二值命题逻辑L中公式的真度概念推广到势为2的非均匀概率空间上；当p∈(0,1)时，证明了全体公式的真度值之集在[0，1]中没有孤立点；利用真度定义公式间的p-相似度和伪距离，进而定义了p-逻辑度量空间，证明了该空间没有孤立点，并在此空间中提出了三种不同类型的近似推理模式。

关键词: 测度, p-真度, p-相似度, p-逻辑度量空间, 近似推理

CLC Number:

O141.1

XU Ge-ni. Truth degree theory of system L in space of unevenly distributed probability[J]. Computer Engineering and Applications, 2010, 46(36): 53-55.

许格妮. 系统L在非均匀概率空间下命题的真度理论[J]. 计算机工程与应用, 2010, 46(36): 53-55.

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Truth degree theory of system L in space of unevenly distributed probability

系统L在非均匀概率空间下命题的真度理论

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