Design of reasonable initialization weighted enhanced Karnik-Mendel algorithms for centroid type-reduction of interval type-2 fuzzy logic systems

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 ty...

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Veröffentlicht in:	AIMS mathematics Jg. 7; H. 6; S. 9846 - 9870
Hauptverfasser:	Chen, Yang, Yang, Jiaxiu, Li, Chenxi
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	AIMS Press 01.01.2022
Schlagworte:	initialization interval type-2 fuzzy logic systems newton-cotes quadrature formulas reasonable initialization weighted ekm algorithms simulations
ISSN:	2473-6988, 2473-6988
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2022549