4.4 Article

Mathematical programming approach to formulate intuitionistic fuzzy regression model based on least absolute deviations

期刊

FUZZY OPTIMIZATION AND DECISION MAKING
卷 19, 期 2, 页码 191-210

出版社

SPRINGER
DOI: 10.1007/s10700-020-09315-y

关键词

Fuzzy regression model; Intuitionistic fuzzy number; Mathematical programming; Distance criterion

资金

  1. Ministry of Science and Technology, Republic of China [MOST 104-2410-H-006-054-MY3]

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Fuzzy regression models are widely used to investigate the relationship between explanatory and response variables for many decision-making applications in fuzzy environments. To include more fuzzy information in observations, this study uses intuitionistic fuzzy numbers (IFNs) to characterize the explanatory and response variables in formulating intuitionistic fuzzy regression (IFR) models. Different from traditional solution methods, such as the least-squares method, in this study, mathematical programming problems are built up based on the criterion of least absolute deviations to establish IFR models with intuitionistic fuzzy parameters. The proposed approach has the advantages that the model formulation is not limited to the use of symmetric triangular IFNs and the signs of the parameters are determined simultaneously in the model formulation process. The prediction performance of the obtained models is evaluated in terms of similarity and distance measures. Comparison results of the performance measures indicate that the proposed models outperform an existing approach.

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