Efficiency measurement in data envelopment analysis with fuzzy data

研究成果: Chapter

摘要

Conventional data envelopment analysis (DEA) requires the data to have crisp values, which can be measured precisely. However, there are cases where data is missing and has to be estimated, or the situation has not occurred yet and the data has to be predicted. There are also cases where the factors are qualitative, and thus the data cannot be measured precisely. In these cases, fuzzy numbers can be used to represent the imprecise values, and this paper discusses the corresponding measurement of efficiency. Based on the extension principle, two approaches are proposed; one views the membership function of the fuzzy data vertically, and the results are represented by membership grades. The other views it horizontally, and the results are represented by α-cuts. The former approach is easier to understand, yet is applicable only to very simple problems. The latter, in contrast, can be applied to all problems, and is easier to implement. An example explains the development and implementation of these two approaches.

原文English
主出版物標題International Series in Operations Research and Management Science
發行者Springer New York LLC
頁面341-354
頁數14
DOIs
出版狀態Published - 2015 一月 1

出版系列

名字International Series in Operations Research and Management Science
221
ISSN(列印)0884-8289

All Science Journal Classification (ASJC) codes

  • 軟體
  • 電腦科學應用
  • 策略與管理
  • 管理科學與經營研究
  • 應用數學

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