R_0-代数的Boole可补元与直积分解  

Boole complement elements and the direct product decomposition of R_0-algebra

作　　者：朱怡权[1] 

机构地区：[1]肇庆学院数学系,广东肇庆526061

出　　处：《高校应用数学学报（A辑）》2006年第4期495-500,共6页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：广东省自然科学基金(021073)

摘　　要：在R0-代数中引进了Boole可补元的概念,讨论了Boole可补元的一些基本性质;利用Boole可补元构造了R0-代数的一种直积分解.这些结果在一定程度上反映了R0-代数内部结构的特征,有益于从语义的角度进一步研究格值模糊逻辑系统.In this paper,a concept of Boole complement elements is introduced in Ro-algebra, and some of their poperties are discussed. Moreover, by Boole complement elements a direct product decomposition theorem of R0-algebra is established. Those results describe the characteristics of interior structure of R0-algebra. They will be useful for studying lattice-value fuzzy logics from the semantics.

关 键 词：R0-代数 Boole可补元 直积分解 

分 类 号：O141.1[理学—数学]