| 1 | 0 | 135 |
| 下载次数 | 被引频次 | 阅读次数 |
在赋值格为[0,1]的模糊逻辑系统L*中,利用序结构和赋值集的随机化方法提出了公式的随机真度,引入公式间的随机相似度和伪距离,导出随机真度和伪距离的若干性质,证明了随机逻辑度量空间中逻辑运算的连续性,拓宽了随机真度的近似推理理论的研究思路.
Abstract：In the logic system L* with valuation lattice ,using properties of the order structure and the randomization method of valuation set the randomized truth degree of formulas was introduced.The concepts of randomized similarity and pseudo-metric between formulas were introduced and conditional randomized logic metric space was built.Several properties of randomized truth degree and pseudo-metric were deduced and it was proved that the logical operations were continuous on randomized logic metric space.The mind was broadened for studying approximate reasoning of the randomized truth degree.
[1]王国俊,傅丽,宋建社.二值命题逻辑中命题的真度理论[J].中国科学A辑,2001,31(11):998-1008.
[2]Wang G J,Leung Y.Integrated semantics and logic metric spaces[J].Fuzzy Sets and Systems,2003,136(1):71-91.
[3]王国俊,李璧镜.Lukasiewicz n值命题逻辑中公式的真度理论和极限定理[J].中国科学E辑,2005,35(6):561-569.
[4]王国俊.数理逻辑引论与归结原理[M].第2版.北京:科学出版社,2006.
[5]王国俊.非经典数理逻辑与近似推理[M].第2版.北京:科学出版社,2008.
[6]崔美华.模糊逻辑系统中公式的积分真度和伪距离[J].工程数学学报,2010,27(5):873-882.
[7]惠小静,王国俊.经典推理模式的随机化研究及其应用[J].中国科学:E辑,2007,37(6):801-812.
[8]惠小静.三值R0命题逻辑系统的随机化[J].应用数学学报,2009,32(1):19-27.
[9]惠小静,刘兴祥.三值Godel命题逻辑系统的随机化[J].模糊系统与数学,2009,23(4):1-7.
[10]崔美华.逻辑系统L3中公式的随机真度及近似推理[J].高校应用数学学报,2010,25(4):496-502.
[11]左卫兵,毋红军.连续值命题逻辑系统中公式的概率真度[J].河南教育学院学报,2007,16(1):23-25.
基本信息:
中图分类号:O141
引用信息:
[1]左卫兵.逻辑系统L~中公式的随机真度[J],2012,44(01):28-32.
基金信息:
河南省自然科学基金资助项目,编号112300410040;; 河南省教育厅自然科学基金资助项目,编号2011A110012