摘要
基于BR0代数语义,在赋值域为[0,1]的模糊命题逻辑系统中提出了公式的p-随机真度,同时引入公式间的p-随机相似度和p-随机伪距离的概念,建立了p-随机逻辑度量空间(F(S),d_(p)).在p-随机逻辑度量空间(F(S),d_(p))中提出了理论的p-随机发散度的概念,给出了3种不同类型的近似推理模式,并讨论了它们之间的关系.
Based on the algebraic semantics of BR 0,the p-random truth degree of formulas is proposed in the fuzzy propositional logic system with assignment field[0,1].At the same time,the concepts of p-random similarity degree and_(p)-random pseudo distance between formulas are introduced,and the p-random logic metric space(F(S),d_(p))is established.In the p-random logic metric space(F(S),d_(p)),the concept on p-random divergence of theory is proposed,three different types of approximate reasoning modes are given,and the relationship between them is discussed.
作者
何银
惠小静
彭晨雪
HE Yin;HUI Xiao-jing;PENG Chen-xue(College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,Shaanxi,China)
出处
《西北师范大学学报(自然科学版)》
2025年第2期85-90,共6页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(12261090,12301456)。
关键词
模糊逻辑
p-随机真度
p-随机逻辑度量空间
p-随机发散度
近似推理
fuzzy logic
p-randomized truth degree
p-randomized logical metric space
p-randomized divergence degree
approximate reasoning
