| Goedel逻辑系统中公式条件概率真度的研究 |
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| 引用本文： | 袁彦莉,张兴芳.Goedel逻辑系统中公式条件概率真度的研究[J].山东大学学报(自然科学版),2009(9):70-74. |
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| 作者姓名： | 袁彦莉 张兴芳 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城252059 |
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| 基金项目： | 国家自然科学基金资助项目（60875034） |
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| 摘 要： | 基于条件概率的思想，在Goedel连续值命题逻辑系统中引入赋值密度函数概念，给出了公式的概率真度、条件概率真度的定义，定义了公式间的相似度和伪距离并给出了相关的性质。
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| 关 键 词： | 赋值密度函数 条件概率真度 相似度 伪距离 |
Study of the conditional probability truth degree of formulas in the Goedel logic system |
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| YUAN Yan-li,ZHANG Xing-fang.Study of the conditional probability truth degree of formulas in the Goedel logic system[J].Journal of Shandong University(Natural Science Edition),2009(9):70-74. |
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| Authors: | YUAN Yan-li ZHANG Xing-fang |
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| Institution: | (School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China) |
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| Abstract: | The valuation density function of formulas in continuous value propositional logic system is obtained based on the idea of conditional probability. The definition of probability truth degree and conditional probability truth degree for formulas in the continuous value propositional logic system are proposed. The similarity degree and pseudo-distance between formulas are defined and their properties are given. |
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| Keywords: | valuation density function conditional probability truth degree similarity degree pseudo-distance |
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