Data envelopment analysis with missing data: An application to university libraries in Taiwan

C. Kao, S. Tai Liu

研究成果: Article同行評審

102 引文 斯高帕斯(Scopus)

摘要

In measuring the relative efficiencies of a set of decision making units (DMUs) via data envelopment analysis (DEA), detailed inputs and outputs are usually involved. However, there are cases where some DMUs are unable to provide all the necessary data. This paper adopts the concept of a membership function used in fuzzy set theory for representing imprecise data. The smallest possible, most possible, and largest possible values of the missing data are derived from the observed data to construct a triangular membership function. With the membership function, a fuzzy DEA model can be utilized to calculate the efficiency scores. Since the efficiency scores are fuzzy numbers, they are more informative than crisp efficiency scores calculated by assuming crisp values for the missing data. As an illustration, the efficiency scores of the 24 University libraries in Taiwan, with three missing values, are calculated to show the extent that the actual amount of resources and services provided by each University is away from the technically efficient amount of resources and services. This methodology can also be applied to calculate the relative efficiencies of the DMUs with imprecise linguistic data.

原文English
頁(從 - 到)897-905
頁數9
期刊Journal of the Operational Research Society
51
發行號8
DOIs
出版狀態Published - 2000 八月

All Science Journal Classification (ASJC) codes

  • 管理資訊系統
  • 策略與管理
  • 管理科學與經營研究
  • 行銷

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