摘要
利用赋值集的随机化方法,在三值Gdel命题逻辑系统中引入基于前提信息Γ公式的Γ-随机真度,证明了Γ-随机真度的MP规则、HS规则及交推理规则;同时引入公式间的Γ-随机相似度和Γ-随机伪距离,建立了Γ-随机逻辑度量空间,推导出Γ-随机相似度的若干性质;在Γ-随机逻辑度量空间中提出3种不同类型的近似推理模式并研究了它们之间的关系.
By means of randomization,the concept of Γ-randomized truth degrees of formulas based on premise information is introduced in 3-valued Gdel propositional logic system.The MP rule,HS rule and meet inference rules of Γ-randomized truth degrees are proved.Meantime,the concepts of Γ-randomized similarity and Γ-randomized pseudo-distances between formulas are introduced and the concept of Γ-randomized logic metric spaces is built.Properties of Γ-randomized similarity are deduced.Three different types of approximate reasoning patterns are introduced in Γ-randomized logic metric spaces.Relationships among them are studied.
出处
《扬州大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第2期1-5,共5页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(10371106,60774073)
江苏省高校自然科学基础研究项目(08KJD110008)
