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Fuzzy linear regression models with least square errors

Modarres, M ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1016/j.amc.2004.05.004
  3. Publisher: 2005
  4. Abstract:
  5. To estimate the parameters of fuzzy linear regression models with fuzzy output and crisp inputs, we develop a mathematical programming model in this paper. The method is constructed on the basis of minimizing the square of the total difference between observed and estimated spread values or in other words minimizing the least square errors. The advantage of the proposed approach is its simplicity in programming and computation as well as its performance. To compare the performance of the proposed approach with the other methods, two examples are presented. © 2004 Elsevier Inc. All rights reserved
  6. Keywords:
  7. Error analysis ; Least squares approximations ; Mathematical models ; Mathematical programming ; Parameter estimation ; Problem solving ; Regression analysis ; Fuzzy linear regression ; Fuzzy numbers ; Fuzzy output ; Least square errors ; Fuzzy sets
  8. Source: Applied Mathematics and Computation ; Volume 163, Issue 2 , 2005 , Pages 977-989 ; 00963003 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0096300304002747