Topsis Approach To Multi-Objective Emergency Service Facility Location Selection Problem Under Q-Rung Orthopair Fuzzy Information

A new model based on q-rung orthopair fuzzy sets (q-ROFS) has been presented to manage the uncertainty in real-world multi-criteria decision-making problems. q-ROFS has much stronger ability than Pythagorean fuzzy set (PFS) or intuitionistic fuzzy set (IFS) to model such uncertainty. A q-rung orthopair fuzzy TOPSIS approach for formation and representing experts knowledge on the parameters of emergency service facility location planning is developed. In this approach, we propose a score function based on the comparison method to identify the q-rung orthopair fuzzy positive ideal solution and the q-rung orthopair fuzzy negative ideal solution. Based on the constructed fuzzy TOPSIS aggregation, a new objective function is formulated. The constructed criterion maximizes service centers' selection index. This criterion together with the second criterion - minimization of a number of selected centers creates the multi-objective facility location set covering problem. The approach is illustrated by the simulation example of emergency service facility location planning for a city in Georgia. More exactly, the example looks into the problem of planning fire stations locations to serve emergency situations in specific demand points critical infrastructure objects.