广义模糊B-代数(英文)

Generalized Fuzzy B-algebras

作为模糊B-代数的推广,利用模糊点与模糊集之间的属于和重于这两种关系,引入了B-代数上的(α,β)-模糊B-代数的概念,这里α,β是{∈,q,∈∨q,∈∧q}中的任何两个且α≠∈∧q,并研究了它们的相关性质.讨论了(∈,∈∨q)-模糊B-代数的同态象与原象的性质,并发现(∈,∈∨q)-模糊B-代数是Jun的模糊B-代数最有效的推广.

By two relations belonging to （∈） and quasi-coincidence （q） between fuzzy points and fuzzy sets, the concept of （α,β）-fuzzy B-algebras, which is a generalization of fuzzy B-algebras, in a B-algebra is introduced where α,β are any two of {∈ ,q, ∈ ∨ q, ∈∧ q} with a≠∈∧ q, and related properties are investigated. It is found that the most viable generalization of Junks fuzzy B-algebra obtained in this way, is the concept of （ ∈ , ∈ ∨ q）-fuzzy B-algebra. How the homomorphic images and inverse images of （ ∈ , ∈∨ q） -fuzzy B-algebra becomes （ ∈,∈ k/q）-fuzzy B-algebra is studied.