Software development with minimum effort has become a challenging task for the software de-velopers. Software effort may be defined as the prediction process of the effort required to de-velop any software. Many software effort estimation models have been developed in the past, but it is observed that none of them can be applied successfully in all kinds of projects in differ-ent environments that raise the problem of the software effort estimation model selection. To se-lect the suitable software effort estimation model, many conflicting selection criteria must be con-sidered in the decision process. The present study emphasizes on the development of a fuzzy multi-criteria decision making approach by integrating Fuzzy Set Theory and Weighted Distance Based Approximation. To show the consistency of the proposed approach, methodology valida-tion is also performed by making comparison with existing methodologies and to check the criti-cality of the selection criterion, sensitivity analysis is also performed.