Fuzzy data envelopment analysis (FDEA) is one of the most applicable approaches for performance assessment of peer decision making units under ambiguity which is evolving rapidly and gaining popularity under uncertain data envelopment analysis field. The goal of this paper is to review some FDEA models based on applied possibility, necessity, credibility, general fuzzy measures and chance-constrained programming to deal with data ambiguity. The study presents a comprehensive and structured literature review of fuzzy chance-constrained data envelopment analysis (FCCDEA) studies including 87 studies from 2000 to 2020. The main contributions of this research include the following details: (1) Review of fuzzy chance-constrained programming, (2) Survey of FCCDEA models based on different fuzzy measures, (3) Analysis of FCCDEA applications and features, (4) Classification of FCCDEA studies from modeling and uncertainty type viewpoints, (5) Bibliometric analysis of FCCDEA literature, and (6) Extraction of main research gaps and guidelines for future research directions.

模糊数据包络分析（FDEA）是模糊下对等决策单元性能评估最适用的方法之一，它在不确定的数据包络分析领域发展迅速并越来越受欢迎。本文的目的是回顾一些基于应用可能性、必要性、可信度、一般模糊度量和机会约束规划的 FDEA 模型来处理数据歧义。该研究对模糊机会约束数据包络分析 (FCCDEA) 研究进行了全面、结构化的文献综述，其中包括 2000 年至 2020 年的 87 项研究。本研究的主要贡献包括以下细节：（1）模糊机会约束规划综述, (2) 基于不同模糊测度的 FCCDEA 模型综述， (3) FCCDEA 应用及特点分析，