广义模糊B-代数

（ ∈ ,∈ Vq）-fuzzy B-algeras

目的引入(∈,∈∨q)-模糊B-子代数的概念,并讨论其性质。方法应用模糊拓扑中模糊点和模糊集相重概念研究模糊代数。结果给出了(∈,∈∨q)-模糊B-子代数某些等价条件,特别是分别利用上水平集和∈∨q-水平集刻画了(∈,∈∨q)-模糊B-子代数。结论拓展了模糊代数的研究方法和内容。

Aim To infroduce the concept of （ ∈, ∈ V q）-fuzzy B-subalgebras. Some of its properties are established. Methods Apply the concept of fuzzy points quasicoinciding with fuzzy sets in fuzzy topology to the study of fuzzy algebras. Results Some equivalent conditions of（ ∈, ∈ Vq）-fuzzy B-subalgebras are given. In particular, some characterizatios of （ ∈, ∈ Vq）-fuzzy B-subalgebras are established by using upper level sets and （ ∈, ∈Vq）-level sets, respectively. Conclusion The investigations of fuzzy algebras are extended.