This paper proposes to measure the museums performance with a model that combines the Data Envelopment Analysis (DEA) and Balanced Scorecard (BSC) methodologies with a third method, the analytic hierarchy process (AHP), which is often used to support decision making. Starting from the two-stage DEA–BSC model of Basso et al. (Omega Int J Manag Sci 81:67–84, 2018), which integrates DEA and BSC, we explore the advantages to consider also the AHP methodology, with the aim to include the judgement of some museums’ experts on the relative importance of the BSC perspectives in the performance evaluation model. A first approach uses directly the AHP priorities derived from the judgements expressed by the museums’ experts interviewed to determine the weights to aggregate the four BSC performance scores into an overall performance indicator. A second approach uses the judgments of the museums’ experts indirectly to introduce proper restrictions on the output weights of the second-stage DEA model. With this approach, we overcome the problem arising from the dispersion of the preferences within the group of experts, that may heavily affects the first approach. Both approaches proposed in this contribution are applied to the case study of the municipal museums of Venice.

中文翻译：

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结合DEA，BSC和AHP进行博物馆评估的三系统方法

本文提出了一种通过将数据包络分析（DEA）和平衡计分卡（BSC）方法与第三种方法（层次分析法（AHP））相结合的模型来衡量博物馆的绩效，该方法通常用于支持决策。从Basso等人的两阶段DEA–BSC模型开始。（Omega Int J Manag Sci 81：67–84，2018），它整合了DEA和BSC，我们探索了同时考虑AHP方法的优势，目的是包括一些博物馆专家对AHP相对重要性的判断。绩效评估模型中的BSC观点。第一种方法直接使用从受访的博物馆专家的判断得出的AHP优先级来确定权重，以将四个BSC绩效得分汇总为总体绩效指标。第二种方法是间接利用博物馆专家的判断，对第二阶段DEA模型的输出权重进行适当的限制。通过这种方法，我们克服了由于偏好在专家组中分散而产生的问题，该问题可能会严重影响第一种方法。本贡献中提出的两种方法都适用于威尼斯市政博物馆的案例研究。