| 三值乘积逻辑中公式的条件随机真度 |
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| 引用本文： | 娄妍,左卫兵,谢蕾蕾.三值乘积逻辑中公式的条件随机真度[J].华北水利水电学院学报,2011,32(3):142-145. |
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| 作者姓名： | 娄妍 左卫兵 谢蕾蕾 |
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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： | 国家自然科学基金项目，河南省自然科学基金项目，河南省教育厅自然科学基金项目 |
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| 摘 要： | 基于条件概率的思想,利用赋值集的随机化方法,在三值乘积逻辑系统中引入公式的条件随机真度,证明了条件随机真度的MP规则和HS规则,引入公式间的条件相似度和条件伪距离,建立了条件逻辑度量空间,推导出条件伪距离的若干性质.
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| 关 键 词： | 条件随机真度 条件相似度 条件伪距离 条件逻辑度量空间 |
Conditional Randomized Truth Degree of Formulas in 3-valued Product Logic |
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| LOU Yan,ZUO Wei-bing,XIE Lei-lei.Conditional Randomized Truth Degree of Formulas in 3-valued Product Logic[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2011,32(3):142-145. |
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| Authors: | LOU Yan ZUO Wei-bing XIE Lei-lei |
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| Affiliation: | (North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China) |
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| Abstract: | Based on conditional probability,using the randomization method of valuation set,the concept of conditional randomized truth degree of formulas is introduced in the 3-valued product propositional logic.The MP rule and HS rule of conditional randomized truth degrees are proved.The concepts of conditional randomized similarity and conditional pseudo-metric between formulas are introduced and conditional randomized logic metric space is built.Several properties of conditional pseudo-metric are deduced. |
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| Keywords: | conditional randomized truth degree conditional randomized similarity conditional pseudo-metric conditional randomized logic metric space |
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