期刊
AIMS MATHEMATICS
卷 7, 期 6, 页码 9846-9870出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022549
关键词
initialization; interval type-2 fuzzy logic systems; Newton-Cotes quadrature formulas; reasonable initialization weighted EKM algorithms; simulations
资金
- National Natural Science Foundation of China [61773188, 61973146]
- Doctoral Start-up Foundation of Liaoning Province [2021-BS-258]
- Youth Fund of Education Department of Liaoning Province [LJKQZ2021143]
- Talent Fund Project of Liaoning University of Technology [xr2020002]
This paper introduces type-reduction algorithms for interval type-2 fuzzy logic systems (IT2 FLSs), with a focus on the initialization and weighting methods of Karnik-Mendel algorithms. The experimental results show that the proposed RIWEKM algorithms outperform EKM and RIEKM algorithms in terms of absolute error and convergence speed.
Interval type-2 fuzzy logic systems (IT2 FLSs) already become an emerging technology in recent years. As the most popular type-reduction (TR) algorithms, Karnik-Mendel (KM) algorithms own the advantage of maintaining the uncertainties flow in systems. This paper analyzes the initialization for KM types of algorithms. Furthermore, the weighting approaches of them are also given by means of the Newton-Cotes quadrature formulas. Importantly, the reasonable initialization weighted enhanced Karnik-Mendel (RIWEKM) algorithms are provided to complete the centroid type-reduction of IT2 FLSs. Three computer simulation experiments illustrate that, the proposed RIWEKM algorithms own both smaller absolute errors and faster convergence speeds in contrast to the EKM and RIEKM algorithms.
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