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Fuzzy data envelopment analysis models with assurance regions: A note

机译：具有保证区域的模糊数据包络分析模型：注释

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摘要

In a recent paper in this journal by Liu and Chuang [Liu, S. -T., & Chuang, M. (2009). Fuzzy efficiency measures in fuzzy DEA/AR with application to university libraries. Expert Systems with Applications, 36(2), 1105-1113]. Proposition 1 is proved for rinding lower and upper bounds of the α-cut of Er. However, we find that the above proof omit the verification of constraints of assurance regions and the models (11) and (12) omit the constraints of DMUr, which makes it incredible. In this paper, we correct the models and proof of Proposition 1 in Liu and Chuang (2009). We also propose a generalized fuzzy data envelopment model with assurance regions, whose lower and upper bounds at given levels could be obtained similarly.
机译：Liu和Chuang [Liu，S.-T.，＆Chuang，M.（2009）。模糊DEA / AR中的模糊效率度量及其在高校图书馆中的应用。专家系统的应用，36（2），1105-1113]。证明了命题1用于浸入Er的α割的上下边界。但是，我们发现上述证明忽略了对保证区域约束的验证，而模型（11）和（12）则忽略了DMUr的约束，这令人难以置信。在本文中，我们纠正了Liu and Chuang（2009）中的命题1的模型和证明。我们还提出了一个带有保证区域的广义模糊数据包络模型，该模型在给定级别上的上下边界可以类似地获得。

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  • 来源
    《Expert Systems with Application》 |2012年第2期|p.2227-2231|共5页
  • 作者

    Zhongbao Zhou; Siya Lui; Chaoqun Ma; Debin Liu; Wenbin Liu;

  • 作者单位

    School of Business Administration, Hunan University, Changsha 410082, China;

    rnSchool of Business Administration, Hunan University, Changsha 410082, China;

    rnSchool of Business Administration, Hunan University, Changsha 410082, China;

    rnSchool of Business Administration, Hunan University, Changsha 410082, China;

    rnKent Business School, University of Kent, Canterbury CT2 7PE, UK,School of Business Administration, Hunan University, Changsha 410082, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    data envelopment analysis; assurance regions; fuzzy sets; generalized model;

    机译：数据包络分析;保证地区;模糊集广义模型;

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