Work

A Fuzzy Multivariate Regression Model to Control Outliers and Multicollinearity Based on Exact Predictors and Fuzzy Responses

Year: 2025

Type: article

Abstract: Multivariate regression is an approach for modeling the linear relationship between several variables.This paper proposed a ridge methodology with a kernel-based weighted absolute error target with exact predictors and fuzzy responses.Some standard goodness-of-fit criteria were also used to examine the performance of the proposed method.The effectiveness of the proposed method was then illustrated through two numerical examples including a simulation study.The effectiveness and advantages of the proposed fuzzy multiple linear regression model were also examined and compared with some well-established methods through some common goodness-of-fit criteria.The numerical results indicated that our prediction/estimation gives more accurate results in cases where multicollinearity and/or outliers occur in the data set.

Source: Iranian Journal of Mathematical Sciences and Informatics

DOI: 10.61186/ijmsi.20.1.193

Authors: Gholamreza Hesamian, Mohamad Ghasem Akbari, Mehdi Shams

Institutions: Payame Noor University, Ferdowsi University of Mashhad, University of Kashan

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4410549839

FWCI:

Cites: 21

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Related to: 10