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Time-delay Takagi-Sugeno fuzzy drive-response dynamical networks (TD-TSFDRDNs) are defined by extending the drive-response dynamical networks.Based on the LaSalle invariant principle,a simple and systematic adaptive control scheme is proposed to synchronize the TD-TSFDRDNs with a desired scalar factor.A sufficient condition for the generalized projective synchronization in TD-TSFDRDNs is derived.Moreover,numerical simulations are provided to verify the correctness and effectiveness of the scheme.