| 二值命题逻辑中公式的一种概率真度 |
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| 引用本文： | 左卫兵.二值命题逻辑中公式的一种概率真度[J].华北水利水电学院学报,2007,28(5):99-101. |
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| 作者姓名： | 左卫兵 |
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| 作者单位： | 华北水利水电学院,河南,郑州,450011 |
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| 基金项目： | 华北水利水电学院校科研和教改项目 |
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| 摘 要： | 将经典二值命题逻辑中公式的真度概念推广到势为2的概率空间上,定义了二值逻辑(p,q)测度和其上命题的概率真度;在〔1/3,2/3〕的情形下证明了全体公式的概率真度之集在0,1]中是稠密的,并给出了公式概率真度的表达通式.
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| 关 键 词： | 命题逻辑 概率真度 稠度 |
| 文章编号： | 1002-5634（2007）05-0099-03 |
| 修稿时间： | 2007-05-122007-07-09 |
On Probability Truth Degree of Propositions in Two-valued Logic |
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| ZUO Wei-bing.On Probability Truth Degree of Propositions in Two-valued Logic[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2007,28(5):99-101. |
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| Authors: | ZUO Wei-bing |
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| Affiliation: | North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011, China |
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| Abstract: | The definition of truth degree in the classic two-valued proposition logic formula is populared to the uneven probability space whose power is 2,and two-valued logic(p,q) measure and its proposition probability truth degree are defined.It is also testified that the truth degree of all formulas in the range of is dense when〔1/3,2/3〕,and the expressing general expression of formula probability truth degree is given. |
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| Keywords: | proposition logic probability truth degree dense |
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