WBR_0-代数的两种弱化形式及其性质  

The 2-kinds of weak forms of WBR_0-algebras and their properties

作　　者：吴洪博[1] 王娜[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：《陕西师范大学学报（自然科学版）》2012年第4期1-5,共5页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11171196);陕西省教育厅专项科研计划项目(11JK0512)

摘　　要：将WBR0-代数的条件进行两种不同形式的弱化,建立了模糊BR0-代数(FBR0-代数)结构和正则BR0-代数(RBR0-代数)结构,讨论了其中的相关性质.证明了:正则BR0-代数是模糊BR0-代数,模糊BR0-代数和FI-代数是相同代数结构,正则BR0-代数和正则FI-代数是相同代数结构.分别构造了非正则BR0-代数的模糊BR0-代数和非WBR0-代数的正则BR0-代数,从而阐明了模糊BR0-代数、正则BR0-代数、WBR0-代数的相互蕴涵关系和相对独立性.By weakening the conditions of the WBR0-algebras with 2-kinds of different forms, the fuzzy BRo-algebras （FBR0-alebras） and the regular BR0-algebras（RBR0-algebra） were built and then their properties were discussed. It is proved that a RBR0-algebra is a FBRo-algebra, FBR0-algebras has the same algebraic structure with FI-algebrasand RBR0-algebras has the same algebraic structure with regular FI-algebras. It is also showed that FBRo-algebra is not a RBR0-algebra and RBR0-algebra is not a WBRo- algebra by constructing a example respectively, which explains that there exist the implication relation and relative independence between 3-kinds of algebras.

关 键 词：模糊逻辑 WBR0-代数 FBR0-代数 RBR0-代数 FI-代数 正则FI-代数 

分 类 号：O141.1[理学—数学]