ALI REZA SEDIGHI - Department of Mathematics, Faculty of mathematics and statistics,University of Birjand, Birjand, Iran
MOHAMMAD HOSSEIN HOSSEINI - Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran.

In this article we introduce µ-filtered fuzzy modulewith a family of fuzzy submodules. It shows the relation betweenµ-filtered fuzzy modules and crisp filtered modules by level sets.We investigate fuzzy topology on the µ-filtered fuzzy module andapply that to introduce fuzzy completion. Finally we extend Krull’sintersection theorem of fuzzy ideals by using concept µ-adic completion

µ-Fuzzy filtered module, Fuzzy inverse system, Fuzzytopological group, Krull’s intersection theorem