Abstract: Apply the concept of interval valued fuzzy set which is introduced by Zadeh to fuzzy implication algebras（in short，FI-algebras），introduce the notion of interval valued fuzzy filters in FI-algebras and discuss their properties.Two sufficient and necessary conditions for interval valued fuzzy set to an interval valued fuzzy filter are given；The relations between interval valued fuzzy filters and MP filters，fuzzy filters of FI-algebras are discussed；The images and inverse images of interval valued fuzzy filters are defined，and the conditions for them to interval valued fuzzy filters are obtained.

Key words: FI-algebras, interval valued fuzzy sets, MP filters, fuzzy filters, interval valued fuzzy filters

摘要： 将Zadeh提出的区间值fuzzy集的概念应用于Fuzzy蕴涵代数（简称FI代数），提出了FI代数的区间值fuzzy滤子概念并研究其性质。给出了区间值fuzzy集成为区间值fuzzy滤子的两个充要条件；讨论了区间值fuzzy滤子与MP滤子以及fuzzy滤子间的关系；定义了区间值fuzzy滤子的象与原象，获得了它们成为区间值fuzzy滤子的条件。

关键词: FI代数, 区间值fuzzy集, MP滤子, fuzzy滤子, 区间值fuzzy滤子