Type-reduction of interval type-2 fuzzy logic systems with weighted Karnik-Mendel algorithms
CHEN Yang
WANG Da-zhi
Abstract：Studies on type–2 fuzzy logic systems is a hot topic in the current academic area. While type-reduction is one of the most important blocks in the systems. KM algorithms are standarded algorithms which are used to compute and perform the type-reduction of interval type–2 fuzzy logic systems. By comparing the sum operation in discretized version KM algorithms and the integral operation in continuous version of KM (CKM) algorithms, the paper extends the standarded KM algorithms to three different forms of weighted KM (WKM) algorithms according to the Newton-Cotes quadrature formulas of numerical integration techniques. And the KM algorithms become a special case of the WKM algorithms. Three computer simulation examples are used to illustrate and analyze the performance of the WKM algorithms. Compared with the traditional KM algorithms, the WKM algorithms have smaller absolute error and faster convergence speed, which provide the potential application value for designers and adopters of type–2 fuzzy logic systems.
Keywords：interval type-2 fuzzy logic systemstype-reductionKarnik-Mendel algorithmsintegrationweighted Karnik-Mendel algorithmscomputer simulation
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：10( 1327-1336 )