Title :
Discrete fuzzy transform of higher degree
Author :
Holcapek, Michal ; Tichy, Tomas
Author_Institution :
Inst. for Res. & Applic. of Fuzzy Modeling, Univ. of Ostrava, Ostrava, Czech Republic
Abstract :
In this paper, we reformulate the fuzzy transform of higher degree (Fm-transform) proposed originally for an approximation of continuous functions to the discrete case. We introduce two types of Fm-transform which components are defined using polynomials in the first case and using specific values of these polynomials in the second case. We provide an analysis of basic properties of Fm-transform.
Keywords :
function approximation; fuzzy set theory; polynomial approximation; transforms; Fm-transform; continuous function approximation; higher degree discrete fuzzy transform; polynomials; Approximation methods; Frequency modulation; Fuzzy sets; Polynomials; Time series analysis; Transforms; Vectors;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-2073-0
DOI :
10.1109/FUZZ-IEEE.2014.6891848