Qualitative factors in data envelopment analysis: A fuzzy number approach

Chiang Kao, Pei Huang Lin

研究成果: Article同行評審

42 引文 斯高帕斯(Scopus)


Qualitative factors are difficult to mathematically manipulate when calculating the efficiency in data envelopment analysis (DEA). The existing methods of representing the qualitative data by ordinal variables and assigning values to obtain efficiency measures only superficially reflect the precedence relationship of the ordinal data. This paper treats the qualitative data as fuzzy numbers, and uses the DEA multipliers associated with the decision making units (DMUs) being evaluated to construct the membership functions. Based on Zadeh's extension principle, a pair of two-level mathematical programs is formulated to calculate the α-cuts of the fuzzy efficiencies. Fuzzy efficiencies contain more information for making better decisions. A performance evaluation of the chemistry departments of 52 UK universities is used for illustration. Since the membership functions are constructed from the opinion of the DMUs being evaluated, the results are more representative and persuasive.

頁(從 - 到)586-593
期刊European Journal of Operational Research
出版狀態Published - 2011 6月 16

All Science Journal Classification (ASJC) codes

  • 一般電腦科學
  • 建模與模擬
  • 管理科學與經營研究
  • 資訊系統與管理


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