浙江大学学报（理学版）2012，Vol.39Issue(1)：1-3,8,4.DOI:10.3785/j.issn.1008-9497.2012.01.001
BE-代数的广义模糊理想
Generalized fuzzy ideals of BE-algebras
孟彪龙1
作者信息
- 1. 西安科技大学理学院,陕西西安710054
- 折叠
摘要
Abstract
By using the concept of fuzzy points quasicoinciding with and belong to fuzzy sets in fuzzy topology, fuzzy structures of BE-algebras are studied. The concept of (∈ ,∈ V q)-fuzzy ideals in BE-algebras is introduced and its important properties are obtained. Some equivalent conditions of (∈ ,∈ V q)-fuzzy ideals in BE-algebras are obtained. The relationship between fuzzy ideals and (∈ ,∈ V q)-fuzzy ideals is discussed. In particularly, some characterizations of (∈ ,∈ V q)-fuzzy ideals in BE-algebras are established by using level sets and ∈ V q -level sets, respectively. The results are useful for the development of fuzzy algebras, which can be applied in engineering) computer science; artificial intelligence) other fuzzy algebraic structures with making appropriate adjustments.关键词
BE-代数/模糊理想/(∈,∈Vq)-模糊理想/理想/上水平集/∈Vq-水平集Key words
BE-algebra/ fuzzy ideal/ (∈ ,∈ V q)-fuzzy ideal/ ideal/ level set/ ∈ V q- level分类
数理科学引用本文复制引用
孟彪龙..BE-代数的广义模糊理想[J].浙江大学学报（理学版）,2012,39(1):1-3,8,4.
