摘要
主要研究了BL-代数II-特殊滤子的性质。利用特殊BL-代数的性质,获得了II-特殊滤子的一些等价刻画,建立了II-特殊滤子和商特殊BL-代数的联系。最后,讨论了特殊BL-代数和整BL-代数的关系,得到II-特殊滤子和整滤子是一致的,这些结果丰富了BL-代数的滤子理论。
The paper mainly investigate some properties of II special filters in BL-algebras. By analyzing the properties of specialBL-algebras, we derive some characterizations of II-special filters, and establish the relationship between II-special filters and quotientspecial BL-algebras. Finally, we discuss the relationships between special BL-algebras and integral BL-algebras, and obtain that II-specialfilters coincide with integral filters in BL-algebras. These results enrich the filter theory of BL-algebras.
出处
《模糊系统与数学》
CSCD
北大核心
2015年第2期54-61,共8页
Fuzzy Systems and Mathematics
基金
西北大学研究生高水平成果(YC13055)
陕西省教育厅科研计划项目(14JK1535)
