<p>The rise of the Industrial Internet of Things (IIoT) has shifted their operations by introducing various technologies and interconnecting devices, systems, and services with each other. IIoT is the most promising technology that provides valuable insights and is used for various applications within industries. However, IIoT constantly faces different challenges in terms of energy, security, lifetime etc. Due to limited resources and random nature of deployment, it is very difficult to maintain proper security, energy efficiency, and reliable communication. Therefore, a privacy-preserving and energy efficiency authentication scheme is proposed to mitigate the problems related to security and energy. In this scheme, firstly chief nodes are selected on the basis of weight metric to resolve the issue of energy. Once chief nodes are selected, Trust-Authorized Entity (TAE) generates signature for each sensor nodes and provides certification to the sensor nodes. After that, TAE perform the task of certificate revocation if any malicious node exists in the network. Finally, the information is generated to store the confidential information related to key generation, signature generation. signature verification and certificate revocation. The proposed scheme is able to provide privacy-preserving, authentication, and avoid any malicious activities. From the simulated results, it can be easily evaluated that the proposed scheme performs effectively and efficiently in terms of detection accuracy, throughput, and energy consumption as compared to the existing scheme. The outcomes of the scheme are able to provide valuable insights into the emerging technologies in terms of security and sustainability for IIoT.</p>