Haze　control　cost　is　hard　to　value　by　a　crisp　number　because　it　is　often　affected　by　various　factors　such　as　regional　uncertain　meteorological　conditions　and　topographical　features.　Furthermore,　regions　may　be　involved　in　different　coalitions　for　haze　control　with　different　levels　of　effort.　In　this　paper,　we　propose　a　PM2.5　cooperative　control　model　with　fuzzy　cost　and　crisp　coalitions　or　fuzzy　coalitions　based　on　the　uncertain　cross-border　transmission　factor.　We　focus　on　the　Beijing-Tianjin-Hebei　regions　of　China　and　obtain　the　following　major　findings.　In　the　case　of　haze　control　in　the　Beijing-Tianjin-Hebei　regions　of　China,　local　governments　in　the　global　crisp　coalition　can　achieve　their　emission　reduction　targets　with　the　lowest　aggregated　cost.　However,　Hebei　fails　to　satisfy　its　individual　rationality　if　there　is　no　cost　sharing.　Therefore,　the　Hukuhara-Shapley　value　is　used　to　allocate　the　aggregated　cost　among　these　regions　so　that　the　grand　coalition　is　stable.　However,　the　Beijing-Tianjin-Hebei　regions　cannot　achieve　their　emission　reduction　targets　in　the　global　fuzzy　coalition　without　government　subsidies.