BR_0-代数的简化及FI-代数的关系  

The simplification of BR_0-algebra and relationship between it and FI-algebra

作　　者：娄银华[1] 吴洪博[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《南阳师范学院学报》2008年第6期1-3,共3页Journal of Nanyang Normal University

基　　金：国家自然科学基金(10471083);陕西师范大学重点科研基金(995130)

摘　　要：研究了王国俊教授建立的模糊命题演算的形式演绎系统L*和与之在语义上相匹配的R0-代数以及吴洪博教授提出的基础R0-代数和基础L*系统,提出了WBR0-代数的观点,讨论了它与BR0-代数的关系,简化了BR0-代数的定义,在讨论正则FI-代数与正则剩余格之间关系的基础上,讨论了BR0-代数与FI-代数的相互关系.The formal deductive systenm for Fuzzy propositional calculus,R0-algebras and BR0-algebras have been studied. The concepts of WBR0-algebras are proposed,the relationship between it and BR0-algebras has been investigated,the definition of basis BR0-algebras is simplified. Based on discussing the relationship between regular FI-algebras and regular residual lattice,the relationship between FI-algebras and basis R0-algebras has been investigated.

关 键 词：FI-代数 正则FI-代数 R0-代数 BR0-代数 WBR0-代数 剩余格 正则剩余格 

分 类 号：O141.1[理学—数学]