Abstract:  Firstly, this paper gives the concepts of pointwise ( ∈,∈∨q_(λ,μ)) -fuzzy positive implicative ideals and generalized fuzzy positive implicative ideals of KU-algebras, obtains some equivalent characterizations of ( ∈,∈∨q_(λ,μ)) -fuzzy positive implicative ideals of KU-algebras, and points the richer hierarchical structure of the fuzzy positive  implicative ideals. Secondly, this paper acquires the properties that intersections, unions, homomorphic image and homomorphic preimage (under certain condition) of ( ∈,∈∨q_(λ,μ)) -fuzzy positive implicative ideals of KU-algebras are also ( ∈,∈∨q_(λ,μ)) -fuzzy positive implicative ideals. Then, this paper investigates the direct product and projection of ( ∈,∈∨q_(λ,μ)) -fuzzy positive implicative ideals of KU-algebras. At last, this paper introduces the new concepts of the descending (ascending) chain conditions of the positive implicative ideals of KU-algebras, which are studied by using the properties of ( ∈,∈∨q_(λ,μ)) -fuzzy positive implicative ideals.

Key words: KU-algebras;( ∈,∈∨q_(λ,μ)) -fuzzy positive implicative ideals, homomorphic mapping, projection, des-cending (ascending) chain condition

摘要： 给出了KU代数的点态化( ∈,∈∨q_(λ,μ)) -模糊正关联理想与广义模糊正关联理想的概念，得到了KU代数的( ∈,∈∨q_(λ,μ)) -模糊正关联理想的一些等价刻画，并指出了( ∈,∈∨q_(λ,μ)) -模糊正关联理想有丰富的层次结构；其次得到了多个KU代数的( ∈,∈∨q_(λ,μ)) -模糊正关联理想的交、并、同态像和同态原像（在一定条件下）也是( ∈,∈∨q_(λ,μ)) -模糊正关联理想；而后又对KU代数( ∈,∈∨q_(λ,μ)) -模糊正关联理想的直积以及投影进行了研究；最后给出KU代数的正关联理想的降（升）链条件的新概念，并利用( ∈,∈∨q_(λ,μ)) -模糊正关联理想的性质研究了KU代数的正关联理想的降（升）链条件。

关键词: KU代数, ( &isin, &isin, &or, q_(&lambda, , &mu, )) -模糊正关联理想, 同态映射, 投影, 降（升）链条件