10.57647/fomj.2026.0701.02

A General Approach to Construct Intuitionistic Fuzzy Regression Model Based on a New Least Absolute Discrepancy

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  • Abdullah Al-Qudaimi*1,
  • Walid Yousef1,
  1. Information Technology Department, Faculty of Computing & IT University of Science and Technology, Sana’a, Yemen

Received: 2025-12-20

Revised: 2026-02-23

Accepted: 2026-03-26

Published in Issue 2026-03-30

Copyright (c) 2026 Abdullah Al-Qudaimi, Walid Yousef (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Al-Qudaimi, A., & Yousef, W. (2026). A General Approach to Construct Intuitionistic Fuzzy Regression Model Based on a New Least Absolute Discrepancy. Fuzzy Optimization and Modeling Journal (FOMJ), 7(1). https://doi.org/10.57647/fomj.2026.0701.02
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Abstract

The data sufferance from uncertainty and vague events impose statistical regression modeling to be treated in fuzzy environment for more accuracy upon causal relationship between independent and dependent variables. For more informative fuzzy, among limited studies on intuitionistic fuzzy regression models (IFRMs), this study proposed the most general approach to construct a full IFRM (the model’s parameters and output as well as input variable(s) are represented as symmetric and/or asymmetric positive and/or negative and/or mixed of neither negative nor positive triangular intuitionistic fuzzy numbers (TIFNs)). The estimated parameters of the proposed IFRM determined on solving linear programming problems based on intuitionistic fuzzy least absolute of discrepancies (IFLAD). The proposed approach respects homogeneity principle in modeling such that the constructed IFRM for fitting symmetric TIFNs is symmetric either (the intercept and slope(s) are symmetric in this case). Furthermore, two illustrative examples are used to show the soundness and robustness of the proposed model and compared with existing IFRM.

Keywords

  • Triangular intuitionistic fuzzy regression model (IFRM),
  • Full IFRM,
  • Triangular intuitionistic fuzzy numbers (TIFNs),
  • Intuitionistic fuzzy least absolute of discrepancies (IFLAD),
  • Homogeneity principle
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