IDEAS home Printed from https://ideas.repec.org/h/spr/isochp/978-1-4899-7705-2_4.html
   My bibliography  Save this book chapter

Multi-period Efficiency Measurement with Fuzzy Data and Weight Restrictions

In: Handbook of Operations Analytics Using Data Envelopment Analysis

Author

Listed:
  • Shiang-Tai Liu

    (Graduate School of Business and Management, Vanung University)

Abstract

In measuring the overall efficiency of a set of decision making units (DMUs) in a time span covering multiple periods, the conventional approach is to use the aggregate data of the multiple periods via a data envelopment analysis (DEA) technique, ignoring the specific situation of each period. In the real word, there are situations that the observations are inexact and imprecise in nature and they have to be estimated. This study proposes using a relational network model to take the operations of individual periods into account in measuring efficiencies, and the input and output data are treated as fuzzy numbers. Moreover, the assurance region approach is utilized in the model to reduce the weight flexibility for the prevention of overly optimistic, even unrealistic, measures of efficiency. The overall and period efficiencies of a DMU can be calculated at the same time, and since the observations are fuzzy, the derived overall and period efficiencies are fuzzy as well. A pair of two-level mathematical programs is developed to calculate the lower and upper bounds of the α-cut of the fuzzy efficiencies. It is shown that the fuzzy overall efficiency is still a weighted average of the fuzzy period efficiencies. Fuzzy measures obtained from fuzzy observations are more informative than crisp measures obtained from fuzzy observations to be precise.

Suggested Citation

  • Shiang-Tai Liu, 2016. "Multi-period Efficiency Measurement with Fuzzy Data and Weight Restrictions," International Series in Operations Research & Management Science, in: Shiuh-Nan Hwang & Hsuan-Shih Lee & Joe Zhu (ed.), Handbook of Operations Analytics Using Data Envelopment Analysis, chapter 0, pages 89-111, Springer.
    • Handle: RePEc:spr:isochp:978-1-4899-7705-2_4
    DOI: 10.1007/978-1-4899-7705-2_4
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:isochp:978-1-4899-7705-2_4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.