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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Vydáno v:	AIMS mathematics Ročník 7; číslo 6; s. 9846 - 9870
Hlavní autoři:	Chen, Yang, Yang, Jiaxiu, Li, Chenxi
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	AIMS Press 01.01.2022
Témata:	initialization interval type-2 fuzzy logic systems newton-cotes quadrature formulas reasonable initialization weighted ekm algorithms simulations
ISSN:	2473-6988, 2473-6988
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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