This　paper　introduces　a　fuzzy　boundary　sampled-data　(SD)　control　approach　for　an　onlinear　distributed　parameter　system　(DPS)　with　random　time-varying　delay　(RTVD),　which　belongs　to　two　intervals　and　is　considered　by　a　probabilistic　way　to　take　the　influence　of　uncertain　factors,　and　boundary　and　distributed　SD　measurements　are　respected.　Initially,　this　nonlinear　DPS　is　represented　precisely　by　a　Takagi-Sugeno　(TS)　fuzzy　delayed　PDE　model.　Subsequently,　a　fuzzy　boundary　SD　control　design　is　achieved　under　boundary　and　distributed　SD　measurements,　employing　linear　matrix　inequalities　(LMIs)　based　on　the　T-S　fuzzy　delayed　PDE　model.　This　design　ensures　mean　square　exponential　stability　for　the　closed-loop　delayed　DPS　through　the　use　of　inequality　techniques　and　a　Lyapunov　functional.　The　membership　functions　of　the　proposed　fuzzy　boundary　SD　control　law　are　independent　of　the　fuzzy　delayed　PDE　plant　model　and　determined　by　the　measurement　output.　Finally,　the　effectiveness　of　the　designed　fuzzy　boundary　SD　controller　is　demonstrated　via　two　simulation　examples.　IEEE