In　this　study,　non-linear　programming　for　filter　management　in　a　fluid　power　system　is　developed　for　the　assessment　of　filter　allocation　and　replacement　strategies　in　a　fluid　power　system　(FPS).　The　developed　model　can　effectively　tackle　uncertainties　existing　as　interval　values　and　fuzzy　sets,　through　introducing　independent　control　variables　and　L-R　fuzzy　numbers　into　the　interval　non-linear　programming　(INP)　framework.　Moreover,　in　the　modelling　formulation,　the　service　life　of　the　pump　and　the　cost　of　filter　maintenance　are　included　in　the　objective　function　to　reflect　the　effect　of　strategies.　The　developed　method　is　applied　to　the　filter　management　of　an　FPS　with　a　bypass　filtration　system.　The　results　indicate　that　reasonable　solutions　have　been　generated.　Not　only　can　they　help　identify　optimal　filter　allocation　and　replacement　strategies　to　control　the　contamination　of　FPSs,　but　also　they　can　provide　decision　makers　more　information　regarding　trade-offs　among　system　cost,　certainty　and　safety　in　comparison　with　the　INP　model.