F-transform versus Takagi-Sugeno models

Author

Perfilieva, Irina

Author_Institution

Inst. for Res. & Applic. of Fuzzy Modeling, Univ. of Ostrava, Ostrava, Czech Republic

fYear

2009

fDate

14-17 June 2009

Firstpage

1

Lastpage

4

Abstract

The aim of this contribution is to provide a deeper analysis of fuzzy modeling and its contribution to general mathematics. We show how the F-transform technique can be generalized and considered as a special integral transform in a functional space with inner product. We apply a technique of numeric integration in order to simplify computation F¹-transform components. The inverse F^m-transform, m ges 0, is defined in the same way as the ordinary F-transform. Finally, difference between F^m-transforms, m ges 0, and TS fuzzy models is discussed.

Keywords

fuzzy set theory; transforms; F-transform technique; Takagi-Sugeno models; functional space; fuzzy modeling; inner product; integral transform; numeric integration; Fourier transforms; Fuzzy sets; Information processing; Mathematical model; Mathematics; Partial differential equations; Polynomials; Shape; Takagi-Sugeno model; Wavelet transforms; F-transform; F^m-transform; TS model; fuzzy partition; orthogonal basis;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society, 2009. NAFIPS 2009. Annual Meeting of the North American

Conference_Location

Cincinnati, OH

Print_ISBN

978-1-4244-4575-2

Electronic_ISBN

978-1-4244-4577-6

Type

conf

DOI

10.1109/NAFIPS.2009.5156485

Filename

5156485