%0 Journal Article
%T BL代数的(,∨(-overq))-模糊滤子格<br>Lattice of(,∨(-overq))-fuzzy filters in a BL-algebra
%A 刘春辉
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2016.400
%X 摘要： 对BL代数的(,∨(-overq))-模糊滤子理论作进一步深入研究。给出了(,∨(-overq))-模糊滤子的若干新性质, 定义了由BL代数上的一个模糊集生成的(,∨(-overq))-模糊滤子并建立了其表示定理, 证明了BL代数的全体(,∨(-overq))-模糊滤子之集构成一个完备的分配格。<br>Abstract: (,∨(-overq))-fuzzy filter theory in BL-algebras is further studied. Some new properties of(,∨(-overq))-fuzzy filters are given. The notion of(,∨(-overq))-fuzzy filter which is generated by a fuzzy set is defined and its representation theorem is established. It is proved that the set of all(,∨(-overq))-fuzzy filters in a BL-algebra forms a complete distributive lattice
%K BL代数
%K (
%K ∨&lt
%K i&gt
%K (-overq)&lt
%K /i&gt
%K )-模糊滤子
%K 分配格
%K 完备格
%K 模糊逻辑
%K &lt
%K br&gt
%K distributive lattice
%K fuzzy logic
%K BL-algebra
%K complete lattice
%K (
%K ∨&lt
%K i&gt
%K (-overq)&lt
%K /i&gt
%K )-fuzzy filter
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.400