IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v102y1999i2d10.1023_a1021784524897.html
   My bibliography  Save this article

Similarities in Fuzzy Regression Models

Author

Listed:
  • B. K. Papadopoulos

    (Democritous University of Thrace)

  • M. A. Sirpi

    (University of Macedonia)

Abstract

The solutions of a fuzzy regression model are obtained by converting the problem into a linear programming problem. For each level h, h∈[0, 1), there exists a solution. In this paper, we study the set of all the solutions to the fuzzy regression model that comes from a set of data as a metric space with an appropriate metric on it. We define a similarity ratio that allows us to compare the spaces of solutions of a fuzzy regression model that come from different sets of data. We also give an application using data sets concerning the GNP–money relationship.

Suggested Citation

  • B. K. Papadopoulos & M. A. Sirpi, 1999. "Similarities in Fuzzy Regression Models," Journal of Optimization Theory and Applications, Springer, vol. 102(2), pages 373-383, August.
  • Handle: RePEc:spr:joptap:v:102:y:1999:i:2:d:10.1023_a:1021784524897
    DOI: 10.1023/A:1021784524897
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1021784524897
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1023/A:1021784524897?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Georgia Ellina & Garyfalos Papaschinopoulos & Basil Papadopoulos, 2019. "The Use of Fuzzy Estimators for the Construction of a Prediction Model Concerning an Environmental Ecosystem," Sustainability, MDPI, vol. 11(18), pages 1-10, September.
    2. George Tsakiris & Mike Spiliotis, 2011. "Planning Against Long Term Water Scarcity: A Fuzzy Multicriteria Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(4), pages 1103-1129, March.
    3. Stavros Yannopoulos & Mike Spiliotis, 2013. "Water Distribution System Reliability Based on Minimum Cut – Set Approach and the Hydraulic Availability," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(6), pages 1821-1836, April.
    4. Mike Spiliotis & Lambros Panagiotou & Ifigenia Kagalou & Dionissis Latinopoulos, 2020. "A Fuzzified Multicriteria Outranking Method for Water Framework Directive Implementation in a Heavily Modified Urban Lake (Pamvotis, Greece)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(14), pages 4491-4510, November.

    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:joptap:v:102:y:1999:i:2:d:10.1023_a:1021784524897. 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.