The　thin-film　transistor　liquid　crystal　display　(TFT-LCD)　front-end　array　manufacturing　process　exhibits　reentrant　characteristics,　with　uncertainties　in　the　transportation　of　glass　substrates　during　shop　scheduling,　further　impacting　carbon　emissions.　This　study　develops　a　reentrant　hybrid　flow　shop　scheduling　model　considering　carbon　emissions　under　uncertain　transportation　time,　where　the　uncertain　transportation　time　is　specifically　defined　by　a　triangular　fuzzy　number　(TFN),　and　a　crossing　reentrant　job　handling　mechanism　is　proposed.　According　to　the　characteristics　of　the　problem,　the　shop　scheduling　process　is　optimized.　In　scheduling　optimization,　the　Pythagorean　fuzzy　set　(PFS)　is　used　to　solve　the　problem　of　uncertain　transportation　time,　and　the　MYCIN　uncertainty　factor　method,　originating　from　the　MYCIN　expert　system,　is　employed　to　evaluate　the　scheduling　scheme　and　assist　metaheuristic　algorithm　decision-making.　A　many-objective　decision-making　method　based　on　PFS　and　MYCIN　uncertainty　factors　theory　is　proposed.　The　golden　section　factor　and　the　Levy　flight　are　introduced　into　optimal　foraging　algorithm　(OFA).　An　improved　OFA　based　on　the　PFS　and　MYCIN　uncertainty　factors　(PMYCIN-OFA)　is　then　designed.　Finally,　three　types　of　experiments　are　conducted:　test　cases　testing,　factory　application　case　testing,　and　industrial　software　Flexsim　simulations.　The　results　demonstrate　that　the　PMYCIN-OFA　surpasses　the　performance　of　five　classical　multi-objective　intelligent　optimization　algorithms　and　can　provide　practical　solutions　in　the　actual　TFT-LCD　front-end　array　manufacturing　workshop.　©　2025　Elsevier　Ltd