BCI-代数中的(s,t]-模糊理想和R-模糊理想  

(s,t]-fuzzy ideals and R-fuzzy ideals of BCI-algebras

作　　者：张广济[1] 于明业[2] 周丽馥[1] 

机构地区：[1]大连大学信息工程学院,辽宁大连116622 [2]大连大学师范学院,辽宁大连116622

出　　处：《大连大学学报》2004年第6期1-6,共6页Journal of Dalian University

摘　　要：本文在O.G.Xi于BCI-代数中给出模糊理想概念的有成效的工作的基础上,在BCI-代数中又定义了两种新的模糊理想.首先,我们利用模糊点与模糊集的关系定义了(s,t]-模糊理想,(∈,∈Vq)-模糊理想与(|∈-|,|∈-|Vq-)-模糊理想是它的两种特例.其次,我们运用模糊逻辑中的蕴涵算子的概念给出了R-模糊理想的定义,并讨论了R-模糊理想与(s,t]-模糊理想之间的关系.Following the seminal work of O. G. Xi on the definition of fuzzy ideal of BCI-algebras, two new kinds of definiting of fuzzy ideals of BCI-algebras are proposed in this paper. First, by the use of the relations between fuzzy points and fuzzy sets,the definition of a ( s,t]- fuzzy ideals of BCI-algebras was introduced. The acceptable nontrivial concepts obtained in this manner were the (∈, ∈Vq) -fuzzy ideals and (|∈-|,|∈-|V|q-|) -fuzzy ideals. Second, by the use of the implication operators of fuzzy logic,the R-fuzzy ideals was proposed and relations betweem the ( s, t] - fuzzy idelas and R-fuzzy ideals were discussed.

关 键 词：BCI-代数 (s t]-模糊理想 R-模糊理想 模糊点 模糊集 

分 类 号：O159[理学—数学]