For　nonlinear　space-varying　parabolic　distributed　parameter　systems,　this　paper　introduces　an　H-infinity　fuzzy　intermittent　boundary　control,　where　the　output　measurements　are　only　available　at　some　specified　boundary　position　(i.e.,　boundary　measurements).　Initially,　a　Takagi-Sugeno　fuzzy　parabolic　partial　differential　equation　is　used　to　precisely　describe　the　nonlinear　space-varying　parabolic　distributed　parameter　system.　Then,　under　boundary　measurements,　an　H-infinity　fuzzy　intermittent　boundary　control　design　based　on　the　Takagi-Sugeno　fuzzy　parabolic　partial　differential　equation　model　ensuring　the　exponential　stability　with　an　H-infinity　performance　for　closed-loop　space-varying　distributed　parameter　system　is　subsequently　obtained　via　spatial　linear　matrix　inequalities　by　employing　inequality　techniques　and　piecewise　switching-time-dependent　Lyapunov　function.　Furthermore,　in　order　to　solve　the　H-infinity　fuzzy　intermittent　boundary　controller　design　of　nonlinear　space-varying　parabolic　distributed　parameter　systems　under　boundary　measurements,　we　express　spatial　linear　matrix　inequalities　as　linear　matrix　inequalities　and　further　present　some　linear　matrix　inequality　based　fuzzy　intermittent　boundary　control　design　conditions　respecting　the　property　of　membership　functions.　Finally,　two　simulation　examples　are　offered　to　demonstrate　the　effectiveness　of　the　proposed　H-infinity　fuzzy　intermittent　boundary　control　method.　(c)　2023　The　Franklin　Institute.　Published　by　Elsevier　Inc.　All　rights　reserved.