亚BCI-代数的(∈,∈Vq_(λ,μ))-模糊理想  

(∈,∈∨q_(λ,μ))-Fuzzy Ideals in Sub-BCI-algebras

作　　者：刘旭东[1] 

机构地区：[1]四川农业大学理学院,四川雅安625014

出　　处：《模糊系统与数学》2016年第1期38-47,共10页Fuzzy Systems and Mathematics

摘　　要：引入了亚BCI-代数的(∈,∈∨q_(λ,μ))-模糊子代数,(∈,∈∨q_(λ,μ))-模糊理想,(∈,∈∨q_(λ,μ))-闭模糊理想,(∈,∈∨q_(λ,μ))-模糊P-理想的概念,并给出了广义模糊子代数,广义模糊理想,广义闭模糊理想,广义模糊P-理想的定义,证明了它们的等价性。研究了它们的性质以及相互关系;并证明了(∈,∈∨q_(λ,μ))-模糊子代数(模糊理想,闭模糊理想,模糊P-理想)的同态像与同态原像仍能成为(∈,∈∨q_(λ,μ))-模糊子代数(模糊理想,闭模糊理想,模糊P-理想)。In this paper,the concept of（∈,∈∨q（λ,μ））-fuzzy subalgebra,（∈,∈∨q（λ,μ））-fuzzy ideals,（∈,∈∨q（λ,μ））-closed fuzzy ideal and（∈,∈ ∨q（λ,μ））-fuzzy P-ideal in sub-BCI-algebras were introduced.And the notion of generalized fuzzy subalgebra,generalized fuzzy ideals,generalized closed fuzzy ideal,generalized fuzzy P-ideal were given.Then equivalent descriptions of them were given,and their properties and interrelation were discussed.It is stated that the homomorphic images and inverse images of（∈,∈∨q（λ,μ））-fuzzy subalgebra（（∈,∈∨q（λ,μ））-fuzzy ideals,（∈,∈∨q（λ,μ））-closed fuzzy ideal,（∈,∈∨q（λ,μ））-fuzzy P-ideal）in sub-BCI-algebras become（∈,∈∨q（λ,μ））-fuzzy subalgebra（（∈,∈∨q（λ,μ））-fuzzy ideals,（∈,∈∨q（λ,μ））-closed fuzzy ideal,（∈,∈∨q（λ,μ））-fuzzy P-ideal）in sub-BCI-algebras.

关 键 词：亚BCI-代数 (∈ ∈∨q(λ μ))-模糊子代数 (∈ ∈∨q(λ μ))-模糊理想(闭模糊理想 模糊P-理想) 广义模糊子代数 广义模糊理想(闭模糊理想 模糊P-理想) 同态 

分 类 号：O159[理学—数学]