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Type-2 TSK Fuzzy Logic System and its Type-1 Counterpart

by Qun Ren, Marek Balazinski, Luc Baron
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 20 - Number 6
Year of Publication: 2011
Authors: Qun Ren, Marek Balazinski, Luc Baron
10.5120/2440-3292

Qun Ren, Marek Balazinski, Luc Baron . Type-2 TSK Fuzzy Logic System and its Type-1 Counterpart. International Journal of Computer Applications. 20, 6 ( April 2011), 8-13. DOI=10.5120/2440-3292

@article{ 10.5120/2440-3292,
author = { Qun Ren, Marek Balazinski, Luc Baron },
title = { Type-2 TSK Fuzzy Logic System and its Type-1 Counterpart },
journal = { International Journal of Computer Applications },
issue_date = { April 2011 },
volume = { 20 },
number = { 6 },
month = { April },
year = { 2011 },
issn = { 0975-8887 },
pages = { 8-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume20/number6/2440-3292/ },
doi = { 10.5120/2440-3292 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:07:02.651273+05:30
%A Qun Ren
%A Marek Balazinski
%A Luc Baron
%T Type-2 TSK Fuzzy Logic System and its Type-1 Counterpart
%J International Journal of Computer Applications
%@ 0975-8887
%V 20
%N 6
%P 8-13
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

An interval type-2 TSK fuzzy logic system can be obtained by considering the membership functions of its existed type-1 counterpart as primary membership functions and assigning uncertainty to cluster centers, standard deviation of Gaussian membership functions and consequence parameters. In many cases it has been difficult to determine the spread percentages for these parameters to obtain an optimal model. In order to develop robust and reliable solutions for the problems, this paper distinguishes the differences between type-2 TSK system and its counterpart, analyzes the sensibility of the outputs of a type-2 TSK fuzzy system, and discusses the approximation capacities of type-2 TSK FLS and its type-1 counterpart as well.

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Index Terms

Computer Science
Information Sciences

Keywords

fuzzy logic system membership functions uncertainty sensibility capability