The linked governance set has presently been introduced as an attractive scheme to the region analysis in wireless sensor networks (WSNs). Therefore the key issue bothering the behavior of the prevailing Minimal sized Governing Set (MGS) based analysis standards is that they are focused on increasing the count of sleep nodes to safeguard the energy. It makes the lively sensors to feel immense loads for handling voluminous adjacencies. The quicker depletion of the lively sensors might detach the network standard and discards the region explored. Hence for offering an improved transmission of the network association analysis and lifespan, a precise count of sensors must be triggered. The intention is based on the angle restricted minimal load allowance of the MGS issues termed as Angle Restricted minimal load MGS (ARGS) to design the region analysis in WSNs. The precise decision of the angle restriction of ARGS equalizes the load within the network on the lively sensors enhances the network analysis and lifespan. The knowledge automation-based heuristics termed as Automata Theory-based Energy Efficient Area algorithm (ATEEA) is designed for locating a close optimal solution to the substitution identical ARGS issues in WSN. The analysis difficulties of the designed scheme to locate the optimal solution of the region analysis issue are estimated. Diverse experiments are performed to depict the supremacy of the designed analysis standards over the prevailing MGS-based schemes in terms of rate of coverage region, remaining energy, number of lively nodes and the lifetime of the networks. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.