Because of expensive placement and degradation in spectrum allocation, deployment of serving nodes has become an important issue in the cellular communication. One of the potential remedy to improve the spectral efficiency per unit area is the densification of serving nodes. Long term evolution-Advanced (LTE-A) introduced the idea of heterogeneous network (HetNet), containing different eNB of different coverage ranges. But placing the eNBs of different coverage ranges are very difficult. In order to provide a good quality of transmission to the users in the coverage holes, LTE-A also defines multi-hop relay (MHR) networks, where the relay stations (RS) are placed along with the eNBs. But both HetNet and MHR placement approaches are not standardized. In this work, we have proposed a fuzzy logic based coverage and cost effective serving nodes placement scheme. Our placement scheme chooses the optimal eNB sites from the candidate sites in the service area in order to minimize the placement cost while maintaining the coverage more than the expected coverage. Also according to the power constraint on each eNB, it will adjust the range of the cell to get the proper coverage while satisfying the requirements of user. From the simulation results, we can see that our fuzzy logic based placement scheme minimizes the cost of the system and also provides better coverage ratio (CR) under the power constraints. © 2017 IEEE.