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Fog computing is a feasible approach that can alleviate the tremendous pressure on cloud-based medical data processing. Despite the benefits of low latency, storage, and computational power that service IoT applications and devices, fog computing has few privacy and security concerns. Attribute Based Encryption is a powerful cryptographic technique for ensuring the secure sharing of medical data. Unfortunately, the problem of collusion induced by compromised users, trusted third party attack, bottleneck of key generation center, ineffective key distribution, and poor data-sharing remains unsettled in the research in attribute based encryption systems. This work proposes a user-specific and file-specific attribute-based encryption that combines Chebyshev chaotic maps for generating hash function to provide efficient session-based key setup in fog-based data-sharing. The computational cost spent by fog nodes to carry out session management is extremely minimum in the proposed work. Furthermore, the work can minimize third-party processing overheads and protect data-sharing from a number of cryptographic assaults. According to experimental and theoretical analysis, the proposed work is secure and extremely effective for sharing data in a fog environment.

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