Abstract: The nodes in the wireless sensor networks can be scheduled for sleep and active states in order to prolong the life time. The various parameters from different layers are utilized for scheduling. It leads the optimization problem while implementing in real time. This research describes the optimization in decision theory for non convex problems. In this study, a novel methos presented to solving this type of optimization by soft set matrix method. The proposed Soft set Node matrix (SN) is finding the strong node based on cyclic and pivotal element selection methods. It is applicable to solving different parameters of the nodes without compromising the scalability issues. The numerical results are also provided for verifying the feasibility of the algorithm.