Abstract: In this paper, “Ω-belongs to (∈^δ)”and “Ω-quasi-coincident with q^δ_(λ,μ)” relationships are generalized by the view of “belongs to (∈)”and “quasi-coincident with (q)” relationships between the  fuzzy point and the fuzzy set. The definition of (∈^δ,∈^δ∨q^δ_(λ,μ))-fuzzy algebra is presented. Combining the (∈^δ,∈^δ∨q^δ_(λ,μ))-fuzzy algebras and the N(2,2,0) algebras, the concepts of pointwise (∈^δ,∈^δ∨q^δ_(λ,μ))-fuzzy ideals and Ω_(λ,μ)-fuzzy ideals are introduced, and the equivalence relationship of this two definitions is discussed. Some basic properties of them are also studied. Finally, this paper proposes the concepts of pointwise (∈^δ,∈^δ∨q^δ_(λ,μ))-fuzzy subalgebras and [Ω(λ,μ)-]fuzzy subalgebras, and studies the mutual relationships between (∈^δ,∈^δ∨q^δ_(λ,μ))-fuzzy ideals and (∈^δ,∈^δ∨q^δ_(λ,μ))-fuzzy subalgebras.

Key words: N(2,2,0)algebra, (&isin, ^&delta, ,&isin, ^&delta, &or, q^&delta, _(&lambda, ,&mu, ))-fuzzy ideals,  , (&isin, ^&delta, ,&isin, ^&delta, &or, q^&delta, _(&lambda, ,&mu, ))-fuzzy subalgebras

摘要： 将模糊点和模糊集间的“∈（属于）”和“q_(λ,μ)（广义重于）”关系推广为“∈^δ（Ω-属于）”和“q^δ_(λ,μ)（Ω-重于）”关系，提出了(∈^δ,∈^δ∨q^δ_(λ,μ))-模糊代数。将(∈^δ,∈^δ∨q^δ_(λ,μ))-模糊代数与N(2,2,0)代数相结合，给出了点态化(∈^δ,∈^δ∨q^δ_(λ,μ))-模糊理想和Ω_(λ,μ)-模糊理想的概念，证明了两者之间的等价关系，研究了它们的一些基本性质；最后提出了点态化(∈^δ,∈^δ∨q^δ_(λ,μ))-模糊子代数和Ω_(λ,μ)-模糊子代数的定义，研究了(∈^δ,∈^δ∨q^δ_(λ,μ))-模糊理想和(∈^δ,∈^δ∨q^δ_(λ,μ))-模糊子代数的相互关系。

关键词: N(2, 2, 0)代数, (&isin, ^&delta, , &isin, ^&delta, &or, q^&delta, _(&lambda, , &mu, ))-模糊理想, (&isin, ^&delta, , &isin, ^&delta, &or, q^&delta, _(&lambda, , &mu, ))-模糊子代数