TY  - JOUR
AU  - Chen, Yang
AU  - Yang, Jiaxiu
AU  - Li, Chenxi
PY  - 2022
TI  - Design of reasonable initialization weighted enhanced Karnik-Mendel algorithms for centroid type-reduction of interval type-2 fuzzy logic systems
JO  - AIMS Mathematics
SP  - 9846
EP  - 9870
VL  - 7
IS  - 6
AB  - 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.
UR  - https://doi.org/10.3934/math.2022549
DO  - 10.3934/math.2022549