In　the　flexible　job　shop　scheduling　problem　(FJSP),　immediate　predecessor　operations　have　an　explicit　impact　on　the　scheduling　results,　and　are　often　ignored.　To　analyze　the　influence　of　immediate　predecessor　operations　on　machine　tool　manufacturing　workshops,　four　forms　of　immediate　predecessor　operations　with　the　consideration　of　uncertain　transportation　and　preparation　time　are　defined.　Then,　the　four　forms　of　immediate　predecessor　operations　are　integrated　into　the　FJSP,　and　a　multiobjective　FJSP　is　constructed.　An　improved　optimal　foraging　algorithm　(OFA)　and　Pythagorean　fuzzy　set　(PFS)　are　combined　to　establish　a　multiobjective　optimization　algorithm,　named　PFSOFA.　This　algorithm　is　then　used　to　solve　the　multiobjective　FJSP.　In　PFSOFA,　the　Pareto　fronts　are　mapped　into　PFSs.　The　Pythagorean　fuzzy　numbers　(PFNs)　in　a　PFS　are　transformed　into　right　triangles,　and　the　distances　between　the　PFNs　and　the　reference　PFNs　are　defined　as　the　distances　between　their　right　triangle　centroids.　Then,　all　distances　of　a　PFS　are　integrated　by　the　distance　prospect　function　to　obtain　a　distance　prospect　value.　This　value　is　then　used　to　lead　the　iteration　of　PFSOFA.　Through　extensive　experiments,　including　a　real　factory　application　case,　the　performance　of　PFSOFA　is　verified　to　be　better　than　four　classical　multiobjective　optimization　algorithms　for　solving　the　multiobjective　FJSP　constructed　in　this　paper.　And　for　the　factory　case,　PFSOFA　also　obtained　the　better　schemes.　IEEE