A new type-2 fuzzy reliability-redundancy allocation problem (IT2FRRAP) is introduced in this study, which maximizes system reliability underneath the type-2 fuzzy uncertainty. Throughout the design process, estimation of system parameters with type-2 fuzzy sets is very rational, as many experts may have varying views on the numerous risks involved with the multi-state framework. The authors consider fuzzy membership functions of interval type-2 to fuzzy set to reflect the reliability of the sub-system. By using the extension theory, they evaluate the total system reliability as per respective configurations (i.e., series, parallel, non-parallel, and bridge). They developed a novel solution method focused on particle swarm optimization to address the IT2FRRAP. They carried out the computational simulations on various numerical databases to show the gravity of the proposed formulations. To compare its productiveness, a detailed analysis of the proposed solution was made with the genetic algorithm (GA).