This study proposes a three-stage holistic methodology combining an interval type-2 fuzzy analytical hierarchy process (IT2F-AHP) and data envelopment analysis (DEA) to deal with the performance evaluation problems encountered in fuzzy decision environments. In the first stage, prospective inputs and outputs are determined by field studies. The second stage employs IT2F-AHP to identify the most appropriate performance indicators based on vague expert judgements. Finally, DEA is applied to the decision-making units (DMUs) based on the selected set of input and output measures. The proposed methodology proves its merit on a case study addressing the performance of real estate investment trusts (REITs) in Turkey during their 10-year journey of trading on Borsa Istanbul (BIST). The results demonstrate that the average scores for technical, pure technical and scale efficiencies are 66%, 80% and 80%, respectively. Considering the technical efficiency scores, Turkish REITs could have reduced their input factors by an average of 34%. The findings also reveal that the majority of Turkish REITs suffer from economies of scale and could have improved their performance by expansion.

中文翻译：

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使用混合区间类型 2 模糊 AHP-DEA 方法评估房地产投资信托基金的绩效：伊斯坦布尔证券交易所的案例

本研究提出了一种三阶段整体方法，结合了区间2型模糊层次分析法（IT2F-AHP）和数据包络分析法（DEA）来处理模糊决策环境中遇到的绩效评估问题。在第一阶段，预期的投入和产出由实地研究确定。第二阶段采用 IT2F-AHP 根据模糊的专家判断确定最合适的绩效指标。最后，基于选定的一组输入和输出度量，将 DEA 应用于决策单元 (DMU)。拟议的方法证明了其在土耳其房地产投资信托 (REIT) 在伊斯坦布尔证券交易所 (BIST) 的 10 年交易历程中表现的案例研究的优点。结果表明，技术平均分，纯技术效率和规模效率分别为 66%、80% 和 80%。考虑到技术效率得分，土耳其房地产投资信托基金的投入因子平均可降低 34%。调查结果还表明，大多数土耳其房地产投资信托基金都受到规模经济的影响，本可以通过扩张来提高业绩。