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An approach for assignment of the optimal location and tap changer adjustment related to Flux-Lock type Superconducting Fault Current Limiter with Tap Changer is used in this paper by debating the reduction of fault current flowing from each device and enhancement of reliability varying with customer type in a distribution network connected with Distribution Generation (DG). Three objective functions based on reliability index, reduction of fault current and number of installed MSFCL is systematized and a Nonlinear Time-Varying Evolution (NTVE) based Multi-Objective Particle Swarm Optimization (MOPSO) style is then formed in searching for best location and tuning of tap changer of MSFCL to meet the fitness requirements. A decision-making procedure based on Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is used for finding best compromise solution from the set of Pareto-solutions obtained through MOPSO-NTVE. In a distribution network as Bus 4 of Roy Billinton Test System (RBTS), comparative analysis of the results obtained from application of the Resistive SFCL (RSFCL) and MSFCL is presented. The results show that optimal placement of MSFCL than RSFCL can improve reliability index and fault current reduction index with less number.