(α,β)-fuzzy Subalgebras of Q-algebras  

作　　者：Arsham Borumand Saeid 

机构地区：[1]Dept of Math. ,Shahid Bahonar University of Kerman ,Kerman ,Iran

出　　处：《模糊系统与数学》2008年第1期54-61,共8页Fuzzy Systems and Mathematics

摘　　要：In this note by two relations belonging to (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets, the notion of (α,β)-fuzzy Q-algebras, the level Q-subalgebra is introduced where α,β are any two of {∈,q,∈∨q,∈∧q} with α≠∈∧q. Then we state and prove some theorems which determine the relationship between these notions and Q-subalgebras. The images and inverse images of (α,β)-fuzzy Q-subalgebras are defined, and how the homomorphic images and inverse images of (α,β)-fuzzy Q-subalgebra becomes (α,β)-fuzzy Q-algebras are studied.In this note by two relations belonging to （∈） and quasi-coincidence （q） between fuzzy points and fuzzy sets, the notion of （α,β）-fuzzy Q-algebras, the level Q-subalgebra is introduced where α, β are any two of {∈,q,∈Vq,∈∧q} with α≠∈ ∧q. Then we state and prove some theorems which deter- mine the relationship between these notions and Q-subalgebras. The images and inverse images of （α,β）-fuzzy Q-subalgebras are defined, and how the homomorphic images and inverse images of （α,β）-fuzzy Q-subalgebra becomes （α,β）-fuzzy Q-algebras are studied.

关 键 词：Q代数 模糊子代数 准一致性 属于 

分 类 号：O159[理学—数学]