基于BR0代数语义的模糊命题逻辑系统的随机发散度与近似推理  

Random divergence and approximate reasoning of fuzzy propositional logic system based on BR 0 algebraic semantics

作　　者：何银 惠小静[1] 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)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

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)。

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.

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 

分 类 号：O141.1[理学—数学]