Abstract: Molodtsov introduces the concept of soft set theory which can be used as generic mathematical tool for dealing with uncertainty. The notions of a fuzzy soft filters in residuated lattices are given. Some of their properties are studied. Furthermore, definitions of fuzzy soft homomorphism and  fuzzy soft isomomorphism of fuzzy soft ideals in residuated lattices are defined and the theorems of isomomorphic image and homomorphic pre-image of fuzzy soft ideals in residuated lattices are given.

Key words: fuzzy set, fuzzy soft set, residuated lattices, fuzzy soft filters

摘要： Molodtsov引入的软集理论，可作为通用的数学工具去处理不确定性问题。给出了剩余格上的模糊软滤子，对它们的性质进行了研究，此外，定义了剩余格上的模糊软滤子间的模糊软同态和模糊软同构，给出了剩余格上的模糊软滤子的同构像定理和同态逆像定理。

关键词: 模糊集, 模糊软集, 剩余格, 模糊软理想