Abstract: A detailed investigation on the (∈,∈∨q_(λ,μ))-fuzzy ideal of N(2,2,0) algebra is carried out from the following aspects. Firstly, this paper introduces the concepts of generalized fuzzy ideal and pointwise (∈,∈∨q_(λ,μ))-fuzzy ideal，and discusses the relationship between them. Secondly, this paper presents some equivalent descriptions of the (∈,∈∨q_(λ,μ))-fuzzy ideal, and studies the related properties. Thirdly, this paper discusses some basic properties of homomorphic image and homomorphic preimage of the(∈,∈∨q_(λ,μ))-fuzzy ideal. Finally, the direct product of the (∈,∈∨q_(λ,μ))-fuzzy ideal is also studied.

Key words: N(2,2,0)algebra, generalized fuzzy ideal; (∈,∈∨q_(λ,μ))-fuzzy ideal, homomorphism, direct product

摘要： 对N(2,2,0)代数(∈,∈∨q_(λ,μ))-模糊理想进行了详细的研究。给出了N(2,2,0)代数广义模糊理想和点态化(∈,∈∨q_(λ,μ))-模糊理想的概念，讨论了两者之间的等价关系。给出了(∈,∈∨q_(λ,μ))-模糊理想的一些等价刻画，并研究了其相关性质。讨论了(∈,∈∨q_(λ,μ))-模糊理想的同态像与同态原像的关系。最后研究了(∈,∈∨q_(λ,μ))-模糊理想的直积。

关键词: N(2, 2, 0)代数, 广义模糊理想,  , (&isin, &isin, &or, q_(&lambda, &mu, ))-模糊理想, 同态, 直积