Multiple regression with fuzzy data

70Citations
Citations of this article
38Readers
Mendeley users who have this article in their library.
Get full text

Abstract

In this paper, we propose an iterative algorithm for multiple regression with fuzzy variables. While using the standard least-squares criterion as a performance index, we pose the regression problem as a gradient-descent optimisation. The separation of the evaluation of the gradient and the update of the regression variables makes it possible to avoid undue complication of analytical formulae for multiple regression with fuzzy data. The origins of fuzzy input data are traced back to the fundamental concept of information granulation and an example FCM-based granulation method is proposed and illustrated by some numerical examples. The proposed multiple regression algorithm is applied to one-, three- and nine-dimensional synthetic data sets as well as the 13-dimensional Boston Housing dataset from the machine learning repository. The algorithm's performance is illustrated by the corresponding plots of convergence of regression parameters and the values of the prediction error of the resulting regression model. General comments on the numerical complexity of the proposed algorithm are also provided. © 2007 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Bargiela, A., Pedrycz, W., & Nakashima, T. (2007). Multiple regression with fuzzy data. Fuzzy Sets and Systems, 158(19), 2169–2188. https://doi.org/10.1016/j.fss.2007.04.011

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free