A mathematical programming approach to fuzzy efficiency ranking

Chiang Kao, Shiang Tai Liu

研究成果: Article同行評審

90 引文 斯高帕斯(Scopus)

摘要

Data envelopment analysis is a widely applied approach for measuring the relative efficiencies of a set of decision-making units (DMUs) which use multiple inputs to produce multiple outputs. When some observations are fuzzy, the efficiencies become fuzzy as well. This paper devises a method to rank the fuzzy efficiency scores without knowing the exact form of the membership functions. The idea is to apply the maximizing set-minimizing set method, which is normally applied when membership functions are known. Via a skillful modeling technique, the requirement of the membership functions is avoided. The efficiency rankings are consequently determined by solving a pair of nonlinear programs for each DMU. To illustrate how the proposed method is applied, the ranking of the 24 university libraries in Taiwan with fuzzy observations is exemplified.

原文English
頁(從 - 到)145-154
頁數10
期刊International Journal of Production Economics
86
發行號2
DOIs
出版狀態Published - 2003 十一月 11

All Science Journal Classification (ASJC) codes

  • 經濟學與計量經濟學
  • 工業與製造工程

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