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

C. Kao, S. Tai Liu

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)897-905
Number of pages9
JournalJournal of the Operational Research Society
Volume51
Issue number8
DOIs
Publication statusPublished - 2000 Aug

All Science Journal Classification (ASJC) codes

  • Management Information Systems
  • Strategy and Management
  • Management Science and Operations Research
  • Marketing

Fingerprint Dive into the research topics of 'Data envelopment analysis with missing data: An application to university libraries in Taiwan'. Together they form a unique fingerprint.

  • Cite this