AUTHORS: Gia Sirbiladze, Anna Sikharulidze

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ABSTRACT: Pythagorean fuzzy sets (PFS) has much stronger ability than intuitionistic fuzzy set (IFS) to manage the uncertainty in real-world multi-criteria decision-making problems. Current research develops a Pythagorean fuzzy TOPSIS approach for formation and representing of expert’s knowledge on the parameters of facility location planning in extreme environment. In this approach, we propose a score function based comparison method to identify the Pythagorean fuzzy positive ideal solution and the Pythagorean fuzzy negative ideal solution. Based on the constructed fuzzy TOPSIS aggregation a new objective function is formulated. Constructed criterion maximizes service centers' selection index. This criterion together with second criterion - minimization of 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

KEYWORDS: Emergency Service Facility Location planning, Pythagorean fizzy sets, fuzzy TOPSIS, critical infrastructure.

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