Hybrid Interval Type-2 Mamdani-TSK Fuzzy System for Regression Analysis

• URL: http://arxiv.org/abs/2510.13437v1
• Date: Wed, 15 Oct 2025 11:35:58 GMT
• Title: Hybrid Interval Type-2 Mamdani-TSK Fuzzy System for Regression Analysis
• Authors: Ashish Bhatia, Renato Cordeiro de Amorim, Vito De Feo,
• Abstract summary: Fuzzy systems provide an alternative framework for handling uncertainty and imprecision.<n>This paper presents a novel fuzzy regression method that combines the interpretability of Mamdani systems with the precision of TSK models.
• Score: 0.8921166277011344
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Regression analysis is employed to examine and quantify the relationships between input variables and a dependent and continuous output variable. It is widely used for predictive modelling in fields such as finance, healthcare, and engineering. However, traditional methods often struggle with real-world data complexities, including uncertainty and ambiguity. While deep learning approaches excel at capturing complex non-linear relationships, they lack interpretability and risk over-fitting on small datasets. Fuzzy systems provide an alternative framework for handling uncertainty and imprecision, with Mamdani and Takagi-Sugeno-Kang (TSK) systems offering complementary strengths: interpretability versus accuracy. This paper presents a novel fuzzy regression method that combines the interpretability of Mamdani systems with the precision of TSK models. The proposed approach introduces a hybrid rule structure with fuzzy and crisp components and dual dominance types, enhancing both accuracy and explainability. Evaluations on benchmark datasets demonstrate state-of-the-art performance in several cases, with rules maintaining a component similar to traditional Mamdani systems while improving precision through improved rule outputs. This hybrid methodology offers a balanced and versatile tool for predictive modelling, addressing the trade-off between interpretability and accuracy inherent in fuzzy systems. In the 6 datasets tested, the proposed approach gave the best fuzzy methodology score in 4 datasets, out-performed the opaque models in 2 datasets and produced the best overall score in 1 dataset with the improvements in RMSE ranging from 0.4% to 19%.

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