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Data Envelopment Analysis with Fuzzy Input-Output Data

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Research and Practice in Multiple Criteria Decision Making

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 487))

Abstract

In this paper, we develop a DEA (Data Envelopment Analysis) with fuzzy input-output data. There are several approaches to extend the DEA to the case of fuzzy input-output data. We chose the most natural approaches among them. In one of these approaches, a linear programming problem solved in the conventional DEA is regarded as a mapping from an input-output data set to the efficiency score set. Applying the extension principle to the mapping, we obtain a fuzzy set of efficiency scores from given fuzzy input-output data. We also propose an efficiency analysis based on possibility theory. The relations between the fuzzy set of efficiency scores and the possibilistic efficiency analysis are investigated.

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Authors and Affiliations

  1. Osaka University, Suita, Osaka, 565-0871, Japan

    Masahiro Inuiguchi & Tetsuzo Tanino

Authors
  1. Masahiro Inuiguchi
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  2. Tetsuzo Tanino
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Editor information

Editors and Affiliations

  1. Center for Risk Management of Engineering Systems, University of Virginia, 103 Albert Small Building, Charlottesville, VA, 22903, USA

    Yacov Y. Haimes (Director) (Director)

  2. Terry College of Business, University of Georgia, Athens, GA, 30602-6253, USA

    Ralph E. Steuer

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© 2000 Springer-Verlag Berlin Heidelberg

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Inuiguchi, M., Tanino, T. (2000). Data Envelopment Analysis with Fuzzy Input-Output Data. In: Haimes, Y.Y., Steuer, R.E. (eds) Research and Practice in Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 487. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57311-8_25

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  • DOI: https://doi.org/10.1007/978-3-642-57311-8_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67266-1

  • Online ISBN: 978-3-642-57311-8

  • eBook Packages: Springer Book Archive

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