Lifetime augmentation has always been an interesting subject of vital significance in wireless sensor networks. Excess extent of energy is dissipated during data transmission to the base station (sink) from normal sensor nodes. Clustering is an efficacious way of augmenting the life span by optimizing (reducing) the energy dissipation of WSNs. Many numbers of researchers have employed fuzzy logic based solution for election of cluster-head in the earlier past. In our proposed scheme two strong parameters; energy and centrality have been considered for cluster head decision. In this work we assumed both the parameters simultaneously to elect cluster head which makes this approach energy efficient and more feasible. Simulation results are contrasted with the former approaches of cluster-head election. Simulation results exhibits that the proposed scheme minimizes energy consumption and thereby enhances life span of wireless sensor network by a significant amount.