Statistical results to show the superiority of type two fuzzy logic systems over type one counterparts under noisy conditions

Mojtaba Ahmadieh Khanesar*, Okyay Kaynak, Mohammad Teshnehlab

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

In this paper, some statistical quantities of the distortion caused by noise in the rule base of type-2 fuzzy logic systems are calculated. In many papers, the justification of better performance of type-2 fuzzy logic systems over type-1 counterparts in noisy conditions are studied only for some specific cases. In this paper, a simple type-2 fuzzy logic system with the ellipsoidal membership function is considered. Using this fuzzy system, it is possible to statistically study the effect of noise in the rule base of fuzzy systems. Using this statistical analysis, it is shown that the type-2 fuzzy logic systems with ellipsoidal membership function is less influenced in the presence of high level of noise when compared to its type-1 counterparts.

Original languageEnglish
Title of host publicationProceedings - 2012 IEEE International Symposium on Industrial Electronics, ISIE 2012
Number of pages6
Publication date2012
Pages905-910
Article number6237209
ISBN (Print)9781467301589
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event21st IEEE International Symposium on Industrial Electronics, ISIE 2012 - Hangzhou, China
Duration: 28 May 201231 May 2012

Conference

Conference21st IEEE International Symposium on Industrial Electronics, ISIE 2012
CountryChina
CityHangzhou
Period28/05/201231/05/2012
SponsorIEEE, IEEE, Zhejiang University

Cite this

Khanesar, M. A., Kaynak, O., & Teshnehlab, M. (2012). Statistical results to show the superiority of type two fuzzy logic systems over type one counterparts under noisy conditions. In Proceedings - 2012 IEEE International Symposium on Industrial Electronics, ISIE 2012 (pp. 905-910). [6237209] https://doi.org/10.1109/ISIE.2012.6237209