Theory of truth degree in Gödel [n]-valued propositional logic system

doi:10.3778/j.issn.1002-8331.1601-0011

Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (11): 67-72.DOI: 10.3778/j.issn.1002-8331.1601-0011

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Theory of truth degree in Gödel [n]-valued propositional logic system

ZHU Naidiao, HUI Xiaojing, GAO Xiaoli, GAO Jiao

College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi 716000, China

Online:2017-06-01 Published:2017-06-13

Gödel [n]值命题逻辑系统的真度理论

朱乃调，惠小静，高晓莉，高姣

延安大学数学与计算机科学学院，陕西延安 716000

Abstract

Abstract: The new connectors[Δ]and[～]are presented in G?del [n]-valued propositional logic system in this paper, the definition of truth degree, similarity degree and pseudo-metric among formulas are given in Gödel [n]-valued propositional logic system, some related properties of them among formulas are discussed under the system, and the corresponding certificate is presented.

Key words: Gödel [n]-valued propositional logic system, truth degree, similarity degree, pseudo-metric

摘要： 首先在Gödel [n]值命题逻辑系统中添加了新的连接词[Δ,～]，给出了Gödel [n]值命题逻辑系统中命题公式间的真度、相似度和伪距离的定义；讨论了在该系统下它们的一些相关性质，并给出了相应的证明。

关键词: Gö, del [n]命题逻辑系统, 真度, 相似度, 伪距离

ZHU Naidiao, HUI Xiaojing, GAO Xiaoli, GAO Jiao. Theory of truth degree in Gödel [n]-valued propositional logic system[J]. Computer Engineering and Applications, 2017, 53(11): 67-72.

朱乃调，惠小静，高晓莉，高姣. Gödel [n]值命题逻辑系统的真度理论[J]. 计算机工程与应用, 2017, 53(11): 67-72.

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Theory of truth degree in Gödel [n]-valued propositional logic system

Gödel [n]值命题逻辑系统的真度理论

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