## 4 Application of the Proposed Methodology Under Uncertainty
### Prioritizing the Main Criteria and Sub-Criteria  
This sub-section is associated with the second part of the introduced integrated procedure to obtain weights of the main criteria and sub-criteria. For this particular aim, the developed fuzzy-based AHP, including steps (3)-(11) in the presented procedure, is applied to prioritize the criteria, such as Economic, safety, hazards risk, legal risk, energy, environmental impact and utilization, transportation infrastructure, information technology infrastructure, process/operation and social before assessing the alternatives. Also, the ten decision-makers (DMs) are experts in information systems, risk management and logistics network analysis. Moreover, all DMs have bachelor of science (BS) degrees, and the four DMs also have doctor of philosophy (PhD) degrees. In addition, the ten DMs have at least five years of experience in their work. The ten DMs were selected based on their educational background, work experience and knowledge about urban logistics. Further, the ten DMs were asked to generate the PCMs as denoted in the fourth step of the presented integrated procedure for the main criteria and sub-criteria when using the linguistic scale and its associated fuzzy number scale. Each DM independently evaluated the main criteria and sub-criteria. The credibility of the preferences was checked using the CR. Thus, reliability is provided for the judgments of aggregated PCMs. Tables A1-A11 in the Appendix A denote the aggregated PCMs for the main criteria and sub-criteria associated with the experts' selection when applying the defuzzification method in the sixth step of the procedure. The calculated weights are denoted in Table 3 for the main criteria and sub-criteria when applying steps 3-11. The economic criterion is the maximum weight among the ten main criteria. Inflation and higher costs threaten the operations of the logistics network, so the economic criterion is significant, as previously reported in the literature [4]. The safety criterion is the second highest weight in Table 3. The importance of the safety criterion was presented in the published reports by [53; 54]. So, the experts' opinions also confirm its importance. Next, hazards risk is the third highest weight, and its weight is 0.1447. The analysis of the hazards risk criterion is crucial to logistics networks. Thus, the finding also verifies the previous studies [55; 61]. Then, the weight of energy is 0.1093, and energy is the fourth most important weight. Further, the fifth important weight in Table 3 is information technology infrastructure. Indeed, the information technology infrastructure is crucial to obtaining the high efficiency of logistics networks. After, the legal risk is the sixth highest weight, and its weight is 0.0942. Next, the seventh significance criterion is the transportation infrastructure based on the fuzzy-based AHP results. Although the transportation infrastructure has the seventh highest weight, the importance of weight is not low. In addition, it is essential to logistics operations. The eighth-highest weight is the process/operations criterion, and its weight is 0.0660. Then, environmental impact and utilization and social criteria are the ninth and tenth importance weights, respectively. Table 3 denotes the calculated local and global weight of each sub-criterion. Investment is the most significant sub-criterion of the economic criterion. Then, the mortality caused by traffic injury is the highest weight among the sub-criteria of safety. It could be  
expected that traffic safety is an important sub-criterion of safety. Next, the epidemic is the most critical sub-criterion of hazards risk. In addition, the earthquake is also another important sub-criterion, and it should not be ignored due to the possible severe effects of logistics networks. Further, judicial independence is the highest sub-criterion of legal risk. In addition, land-administration quality is notable for legal risk as well. Then, each sub-criterion weight of the energy is obtained almost uniformly.