Network data envelopment analysis with fuzzy data

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

Abstract

Conventional data envelopment analysis (DEA) treats a system as a whole unit when measuring efficiency, ignoring the operations of the component processes. Network DEA, on the other hand, takes the component processes into consideration, with results that are more representative and can be used to identify inefficient components. This paper discusses network DEA for fuzzy observations. Two approaches, the membership grade and the α-cut, are proposed for measuring the system and process efficiencies via two-level mathematical programming. The model associated with the latter approach is transformed into a conventional one-level program so that the existing solution methods can be applied. Since the data is fuzzy, the measured efficiencies are also fuzzy. The property of the system efficiency slack being the sum of the process efficiency slacks, which holds in the deterministic case, was found to hold for the fuzzy case as well. A simple network system with three processes is used to illustrate the proposed idea.

Original languageEnglish
Title of host publicationPerformance Measurement with Fuzzy Data Envelopment Analysis
PublisherSpringer Verlag
Pages191-206
Number of pages16
ISBN (Print)9783642413711
DOIs
Publication statusPublished - 2014 Jan 1

Publication series

NameStudies in Fuzziness and Soft Computing
Volume309
ISSN (Print)1434-9922

Fingerprint

Fuzzy Data
Data envelopment analysis
Data Envelopment Analysis
Mathematical programming
Mathematical Programming
Unit

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Kao, C. (2014). Network data envelopment analysis with fuzzy data. In Performance Measurement with Fuzzy Data Envelopment Analysis (pp. 191-206). (Studies in Fuzziness and Soft Computing; Vol. 309). Springer Verlag. https://doi.org/10.1007/978-3-642-41372-8_9
Kao, Chiang. / Network data envelopment analysis with fuzzy data. Performance Measurement with Fuzzy Data Envelopment Analysis. Springer Verlag, 2014. pp. 191-206 (Studies in Fuzziness and Soft Computing).
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Kao, C 2014, Network data envelopment analysis with fuzzy data. in Performance Measurement with Fuzzy Data Envelopment Analysis. Studies in Fuzziness and Soft Computing, vol. 309, Springer Verlag, pp. 191-206. https://doi.org/10.1007/978-3-642-41372-8_9

Network data envelopment analysis with fuzzy data. / Kao, Chiang.

Performance Measurement with Fuzzy Data Envelopment Analysis. Springer Verlag, 2014. p. 191-206 (Studies in Fuzziness and Soft Computing; Vol. 309).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Kao C. Network data envelopment analysis with fuzzy data. In Performance Measurement with Fuzzy Data Envelopment Analysis. Springer Verlag. 2014. p. 191-206. (Studies in Fuzziness and Soft Computing). https://doi.org/10.1007/978-3-642-41372-8_9