Abstract: The concept of associative ideal of the[N(2,2,0)]algebra is introduced; with the help of [(∈,∈∨q(λ,μ))-]fuzzy algebra, the notions of generalized[(λ,μ)-]fuzzy associative ideal and pointwise fuzzy associative ideal are proposed, and the relationship between them is also discussed; besides, this paper presents some equivalent descriptions of the[(∈,∈∨q(λ,μ))-]fuzzy associative ideal, and discusses the related properties; some basic properties of homomorphic image and homomorphic preimage of the[(∈,∈∨q(λ,μ))-]fuzzy associative ideal are discussed. Direct product of the[(∈,∈∨q(λ,μ))-]fuzzy associative ideal is also studied.

Key words: [N(2,2,0)]algebra, generalized [(λ,μ)-]fuzzy associative ideal, [(∈,∈∨q(λ,μ))-]fuzzy associative ideal, homomorphism, direct product

摘要： 引入[N(2,2,0)]代数结合理想的概念。利用[(∈,∈∨q(λ,μ))-]模糊代数，给出了[N(2,2,0)]代数广义[(λ,μ)-]模糊结合理想和点态化模糊结合理想的概念，讨论了两者之间的等价关系；给出了[(∈,∈∨q(λ,μ))-]模糊结合理想的一些等价刻画，研究了其相关性质；讨论了[(∈,∈∨q(λ,μ))-]模糊结合理想的同态像与同态原像的关系；还研究了[(∈,∈∨q(λ,μ))-]模糊结合理想的直积。

关键词: [N(2, 2, 0)]代数, 广义[(&lambda, &mu, )-]模糊结合理想, [(&isin, &isin, &or, q(&lambda, &mu, ))-]模糊结合理想, 同态, 直积