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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
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    Citations

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    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. 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.
    3. 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.
    4. 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.

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