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Last few epochs have witnessed a radical change in accessibility scenarios due to the immense growth of the Internet and Mobile Technologies. Further with proliferation of Internet of Things (IoT) and Internet of Everything(IoE) has brought multifaceted issues for the researchers to undertake to design Future Communication Networks for smart cities. The framework of smart city is based on the success of Internet and IoT which promises to fully renovate our lives with diverse smart applications ranging from e-commerce to m-commerce and cloud computing to analytics. This vision of future smart city is successful only if internet connectivity is provided everywhere and anytime. Hence, this paper investigates an adaptive fuzzy based handoff (AFH) strategy to provide continuous connectivity in heterogeneous networks deployed in smart cities. The AFH algorithm is based on Fuzzy logic and aids to reduce ping pong probability and corner effect during mobility in smart cities. This reduces unnecessary handoffs to facilitate smart city users to use internet services while travelling on highways from one city to another. A case study has been shown to illustrate the execution of AFH algorithm and it has been proved that AHF reduces ping pong rate and corner effect probability.