摘要
利用模糊拓扑中模糊点重于和属于模糊集概念研究模糊代数结构,在BE-代数中引入(∈,∈∨q)-模糊理想的概念,并研究这类模糊理想的重要性质.得到了BE-代数中(∈,∈∨q)-模糊理想的若干等价条件,研究了BE-代数的模糊理想和(∈,∈∨q)-模糊理想的关系,特别是利用上水平集和∈∨q-水平集刻画了(∈,∈∨q)-模糊理想.本文拓展了模糊代数结构的研究内容和方法.此结果和方法稍作修改可用于工程、计算机科学、人工智能和其他模糊代数结构等研究领域.
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(∈,∈∨q)-fuzzy ideals in BE-algebras is introduced and its important properties are obtained.Some equivalent conditions of(∈,∈∨q)-fuzzy ideals in BE-algebras are obtained.The relationship between fuzzy ideals and(∈,∈∨q)-fuzzy ideals is discussed.In particularly,some characterizations of(∈,∈∨q)-fuzzy ideals in BE-algebras are established by using level sets and ∈∨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.
出处
《浙江大学学报（理学版）》
CAS
CSCD
2012年第1期1-3,8,共4页
Journal of Zhejiang University（Science Edition）
