Extension of artin rees lemma for fuzzy module

In this article we introduce $\mu$-filtered fuzzy module with a family of fuzzy submodules. It shows the relation between $\mu$-filtered fuzzy modules and crisp filtered modules by level sets and some of it's results. It is gained that the quotient on $\mu$-filtered fuzzy module is too. After that we aim associated fuzzy graded module by $\mu$-filtered fuzzy module Our goal is extension of important basic result about modules over a Noetherian ring known as Artin-Rees lemma to fuzzy term