利用模糊点与模糊集之重于关系，在BL-代数中引入了(∈，∈∨q)-模糊n-重蕴涵滤子的概念，推广了经典的模糊n-重蕴涵滤子，给出了(∈，∈∨q)-模糊n-重蕴涵滤子的一些刻画。研究了(∈，∈∨q)-模糊蕴涵滤子与(∈，∈∨q)-模糊n-重蕴涵滤子的关系、(∈，∈∨q)-模糊n-重蕴涵滤子与(∈，∈∨q)-模糊(n+1)-重蕴涵滤子的关系。提出门限模糊n-重蕴涵滤子的概念，以此获得了非平凡的经典模糊n-重蕴涵滤子、非平凡的(∈，∈∨q)-模糊n-重蕴涵滤子，研究了门限模糊n-重蕴涵滤子和(∈，∈∨q)-模糊n-重蕴涵滤子的性质。

By using the concept of quasi-coincidence of a fuzzy point with a fuzzy set,the notion of (∈,∈∨q)-fuzzy n-fold implicative filters in BL-algebras which is a generalization of ordinary fuzzy n-fold implicative filters,is defined,and several characterizations of (∈,∈∨q)-fuzzy n-fold implicative filters are given.The relation between (∈,∈∨q)-fuzzy filters and (∈,∈∨q)-fuzzy n-fold implicative filters and the relation between (∈,∈∨q)-fuzzy n-fold implicative filters and (∈,∈∨q)-fuzzy (n+1 )-fold implicative filters are investigated.The concept of a fuzzy n-fold implicative filters with thresholds in BL-algebras is proposed.The acceptable nontrivial concepts obtained in this manner were the ordinary fuzzy n-fold implicative filters and (∈,∈∨q)-fuzzy n-fold implicative filters.The extension properties for fuzzy n-fold implicative filters with thresholds and (∈,∈∨q)-fuzzy n-fold implicative filters are established.By using the concept of quasi-coincidence of a

研究了BL代数的区间值（∈，∈∨ q）-模糊滤子理论。在BL代数中引入区间值（∈，∈∨ q）-模糊对合滤子和区间值（∈，∈∨ q）-模糊结合滤子两类新概念，获得了它们的几个等价刻画。详细讨论了BL代数中各类区间值（∈，∈∨ q）-模糊滤子间的关系，证明了一个区间值模糊集为区间值（∈，∈∨ q）-模糊布尔（关联）滤子当且仅当它既是区间值（∈，∈∨ q）-模糊正关联滤子又是区间值（∈，∈∨ q）-模糊对合滤子的结论。

The theory of interval valued (∈,∈∨q)-fuzzy filters in BL-algebras is studied systematically.Firstly,two notions of interval valued (∈,∈∨q)-fuzzy involution filters and interval valued (∈,∈∨q)-fuzzy associative filters are introduced and some characterizations of them are obtained.Secondly,the relations among all kinds of interval val-ued (∈,∈∨ q)-fuzzy filters are discussed.It is proved that an interval valued fuzzy set is an interval valued (∈,∈∨ q)-fuzzy Boolean (implicative)filter if and only if it is both an interval valued (∈,∈∨ q)-fuzzy positive im-plicative and an interval valued (∈,∈∨ q)-fuzzy involution filter.

将(?'?úq(λ'μ))-模糊代数应用于格蕴涵代数，提出了点态化(?'?úq(λ'μ))-模糊素滤子和(λ'μ)-模糊素滤子的概念，并从以下几个方面对(?'?úq(λ'μ))-模糊素滤子进行了详细的研究：讨论了(?'?úq(λ'μ))-模糊素滤子和(λ'μ)-模糊素滤子的等价关系；研究了(?'?úq(λ'μ))-模糊素滤子的相关性质；得到了特定条件下(?'?úq(λ'μ))-模糊素滤子的若干等价刻画，建立了(?'?úq(λ'μ))-模糊素滤子的扩张定理；探讨了(?'?úq(λ'μ))-模糊素滤子的同态像与同态原像。

By applying (?''? úq(λ''μ))-fuzzy algebras to lattice implication algebras, this paper introduces the concepts of the pointwise (?''? úq(λ''μ))-fuzzy prime filter and (λ''μ)-fuzzy prime filter, and carries out a detailed investigation on the (?''? úq(λ''μ))-fuzzy prime filter from the following aspects:discussing the equivalence relationship between (?''? úq(λ''μ))-fuzzy prime filter and (λ''μ)-fuzzy prime filter; studying the related properties of (?''? úq(λ''μ))-fuzzy prime filter;with certain conditions, giving some equivalent descriptions of the (?''? úq(λ''μ))-fuzzy prime filter and establishing the extension theorem of (?''? úq(λ''μ))-fuzzy prime filter; investigating the homomorphic image and homomorphic preimage of (?''? úq(λ''μ))-fuzzy prime filter.

结合模糊集和滤子理论,对Heyting代数的模糊滤子概念作进一步研究。引入Heyting代数的由一个模糊集生成的模糊滤子的概念并获得了它的表示定理。在Heyting代数的全体模糊滤子之集上定义了格运算和蕴涵运算,证明了按此方式定义了格运算和蕴涵运算之后,全体模糊滤子之集形成一个完备Heyting代数的结论。

Combining fuzzy sets and filters theory, we further studied the concept of fuzzy filters in Heyting algebras. Reviewing the basic results of Heyting algebras and fuzzy filters, the concept of generated fuzzy filter by a fuzzy set in Heyting algebras is defined and its representation is obtained.Finally, the lattice operations and implication operation are defined on the set of all fuzzy filters in a Heyting algebra.It is proved that the fuzzy filters set with above operations form a complete Heyting algebra.

给出了点态化(ε、εVq(λ、μ))-模糊滤子和广义模糊滤子的概念，讨论了两者之间的等价关系；得到了(ε、εVq(λ、μ))-模糊滤子的若干等价刻画，并研究了其相关性质；讨论了(ε、εVq(λ、μ))-模糊滤子的同态像与同态原像的基本性质；最后研究了(ε、εVq(λ、μ))-模糊滤子的直积。

Firstly, this paper introduces the concepts of the pointwise (ε、εVq(λ、μ))-fuzzy filter and generalized fuzzy filter, and discusses the relationship between them. Secondly, this paper obtains some equivalent descriptions of the (ε、εVq(λ、μ))-fuzzy filter, and studies the related properties. Thirdly, this paper discusses some basic properties of homomorphic image and homomorphic preimage of the (ε、εVq(λ、μ))-fuzzy filter. Finally, this paper studies the direct product of the (ε、εVq(λ、μ))-fuzzy filter.