Study on centroid type-reduction of general type-2 fuzzy logic systems with sensible beginning weighted enhanced Karnik–Mendel algorithms

General type-2 fuzzy logic systems have received wide concerns in current academic subject. Type-reduction is the kernel module for the systems. This paper shows the interpretations for the beginning of Karnik–Mendel (KM) algorithms. According to the famous numerical integration technique, the weigh...

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Vydané v:Soft computing (Berlin, Germany) Ročník 27; číslo 14; s. 9261 - 9279
Hlavný autor: Chen, Yang
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2023
Predmet:
Artificial Intelligence
Computational Intelligence
Control
Engineering
Fuzzy Systems and Their Mathematics
Mathematical Logic and Foundations
Mechatronics
Robotics
General type-2 fuzzy logic systems (GT2 FLSs)
Weighting
Newton–Cotes quadrature formulas
Simulation
Sensible beginning
ISSN:1432-7643, 1433-7479
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Shrnutí:General type-2 fuzzy logic systems have received wide concerns in current academic subject. Type-reduction is the kernel module for the systems. This paper shows the interpretations for the beginning of Karnik–Mendel (KM) algorithms. According to the famous numerical integration technique, the weighting approaches of enhanced Karnik–Mendel (EKM) algorithms are put forward. Then, the sensible beginning weighted enhanced Karnik–Mendel (SBWEKM) algorithms are put forward to perform the centroid type-reduction. Compared with the EKM algorithms, WEKM algorithms and SBEKM algorithms, this approach helps to improve both the absolute errors and convergence speeds as shown in four computer simulation experiments.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-023-08269-8