Researchers work on facility location problems in different structures and solve them by developing different models over the years. In this study, we focus on the automated teller machine (ATM) site selection problem for a public bank in İstanbul. Twenty-five districts, which are located at the European side of İstanbul, are designated as ATM candidate districts. The balanced scorecard (BSC) model is modified to determine the criteria according to the literature review and experts’ judgments for this problem. Internal, Customer, and Financial perspectives of the traditional BSC model are used as the main criteria and an external perspective is considered as the fourth criterion for modified balanced scorecard. The experts’ criteria evaluations are gained and consolidated by the Modified Delphi Method. The criteria weights are determined by the Pythagorean Fuzzy-AHP method using the final pairwise comparison results obtained from the Modified Delphi Method. Subsequently, the Pythagorean Fuzzy TOPSIS method is applied to determine the best alternative site among alternatives to locate the ATM according to these criteria. Finally, the results are presented and discussed by sensitivity analysis.

中文翻译：

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一种基于修正平衡计分卡的混合毕达哥拉斯模糊 AHP-Topsis 方法用于 ATM 选址问题

多年来，研究人员致力于研究不同结构中的设施选址问题，并通过开发不同的模型来解决这些问题。在这项研究中，我们专注于伊斯坦布尔一家公共银行的自动柜员机 (ATM) 选址问题。位于伊斯坦布尔欧洲一侧的 25 个区被指定为 ATM 候选区。对平衡计分卡（Balance scorecard，BSC）模型进行修改，根据文献回顾和专家对该问题的判断确定标准。传统平衡计分卡模型的内部、客户和财务视角作为主要标准，外部视角被认为是修正平衡计分卡的第四个标准。专家的标准评估是通过改进的德尔菲法获得和巩固的。标准权重由毕达哥拉斯模糊层次分析法确定，使用从修正德尔菲法获得的最终成对比较结果。随后，应用毕达哥拉斯模糊 TOPSIS 方法来确定备选方案中的最佳备选站点，以根据这些标准定位 ATM。最后，通过敏感性分析对结果进行了展示和讨论。