Mathematics (Jun 2024)

Parameter Prediction with Novel Enhanced Wagner Hagras Interval Type-3 Takagi–Sugeno–Kang Fuzzy System with Type-1 Non-Singleton Inputs

  • Gerardo Armando Hernández Castorena,
  • Gerardo Maximiliano Méndez,
  • Ismael López-Juárez,
  • María Aracelia Alcorta García,
  • Dulce Citlalli Martinez-Peon,
  • Pascual Noradino Montes-Dorantes

DOI
https://doi.org/10.3390/math12131976
Journal volume & issue
Vol. 12, no. 13
p. 1976

Abstract

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This paper presents the novel enhanced Wagner–Hagras interval type-3 Takagi–Sugeno–Kang fuzzy logic system with type-1 non-singleton inputs (EWH IT3 TSK NSFLS-1) that uses the backpropagation (BP) algorithm to train the antecedent and consequent parameters. The proposed methodology dynamically changes the parameters of only the alpha-0 level, minimizing some criterion functions as the current information becomes available for each alpha-k level. The novel fuzzy system was applied in two industrial processes and several fuzzy models were used to make comparisons. The experiments demonstrated that the proposed fuzzy system has a superior ability to predict the critical variables of the tested processes with lower prediction errors than those produced by the benchmark fuzzy systems.

Keywords