Research on site selection of emergency material reserve based on set pair analysis and TOPSIS integration method: a case study of Hebei Province, China

Emergency material reserve is a key link in emergency management, and its site selection is scientific and rational, which directly affects the efficiency of emergency response, disaster rescue and social stability. To solve this site selection problem, a multi-criteria decision-making (MCDM) model named maximizing deviation G1 set pair analysis technique for order preferences by similarity to an ideal solution (MGSPA-TOPSIS) is proposed in this paper. First, the evaluation criteria system is constructed. Then, we use maximizing deviation and order relation analysis (G1) to assign subjective and objective weights, and use game theory to determine the final weights. Finally, this paper uses the combination of set pair analysis (SPA) and technique for order preference by similarity to ideal solution (TOPSIS) to sort, and takes 11 prefecture-level cities in Hebei Province as the research object. The final research results show that Shijiazhuang is the most suitable city for building emergency material reserve in Hebei Province. In the process of sensitivity analysis, the number of traffic practitioners is confirmed as the most important criteria, and by adjusting its value range to [0.1449, 0.2782], it is found that the change of the value of this criteria will not affect the stability of the model ranking. In addition, through large-scale experiments, the incidence of rank reversal in MGSPA-TOPSIS model remains below 20%. It is significantly lower than TOPSIS, preference ranking organization method for enrichment evaluations (PROMETHEE) and the set pair analysis technique for order preferences by similarity to an ideal solution (SPA-TOPSIS) decision model. The stability and robustness of MGSPA-TOPSIS model are further verified.