| 一种非均匀概率空间下二值命题逻辑中命题的真度理论 |
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| 引用本文： | 左卫兵.一种非均匀概率空间下二值命题逻辑中命题的真度理论[J].河北师范大学学报(自然科学版),2008,32(1):1-5. |
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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,数学与信息科学学院,河南,郑州,450011 |
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| 基金项目： | 河南省自然科学基金
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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的非均匀概率空间上,定义了二值逻辑p-测度和其上的命题的真度;在p=1/3的情形下证明了全体公式的真度之集在0,1]中是稠密的,并给出了公式真度的表达通式;利用真度定义公式间的相似度,进而导出全体公式集上的一种伪距离,为近似推理理论提供一种可能的框架.
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| 关 键 词： | 命题逻辑 真度 相似度 |
| 文章编号： | 1000-5854（2008）01-0001-05 |
| 收稿时间： | 2006-10-14 |
| 修稿时间： | 2007-01-20 |
On the Theory of Truth Degree of Propositions in Two-valued Logic in the Space of Uneven Probability |
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| ZUO Wei-bing.On the Theory of Truth Degree of Propositions in Two-valued Logic in the Space of Uneven Probability[J].Journal of Hebei Normal University,2008,32(1):1-5. |
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| Authors: | ZUO Wei-bing |
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| Abstract: | Popularizes the definition of truth degree in the classic two-valued proposition logic formula to the uneven probability space whose power is 2,and defines two-valued logic p-measure and its proposition truth degree. Testifies that the truth degree of all formulas in the range of 0,1] is dense when p = 1/3, and gives the expressing general expression of formula truth degree. Based on the similarity degree in the truth degree formulas,it deduces one type of pseudo-distance in the set of all formulas, so provides a possible structure of proximity reasoning theory. |
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| Keywords: | proposition logic truth degree similarity degree |
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