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Yes, combining  cloud and fog computing technologies are possible and this can definitely improve the performance of the cloud security systems. In Recent times data is being continuously updated at the cloud server. Therefore, ensuring the security parameters on the dynamic data is a challenging tasks. This can be done by incremental learning approach during the data collection process via fog technologies. Some lattice-based multi-blocks and mixed incremental signature schemes will be considered for this study. The main role of the fog device is to finish the incremental authentication without accessing the original message and signature. Hence the device does not need to store the message and its signature in the local storage, even the message needs to be updated in future.