Sine-square embedded fuzzy sets

Author

Karaköse, Mehmet

Author_Institution

Comput. Eng. Dept., Firat Univ., Elazig, Turkey

fYear

2010

fDate

10-13 Oct. 2010

Firstpage

3628

Lastpage

3631

Abstract

Type-2 fuzzy sets minimize the effects of uncertainties that cannot be modeled using type-1 fuzzy sets. However, the computational complexity of the type-2 fuzzy sets is very large and it is more difficult to use and understand than are type-1 fuzzy sets. This paper proposes sine-square embedded fuzzy sets and gives a comparison with type-2 and nonstationary fuzzy sets. The sine-square embedded fuzzy sets consist of type-1 fuzzy sets and sine function. The footprint of uncertainty in the type-2 fuzzy sets is provided with amplitude and frequency of sine-square function in the proposed algorithm. The proposed sine-square embedded fuzzy sets are very simpler than the type-2 fuzzy sets and the nonstationary fuzzy sets. Finally, the simulation results are carried out to demonstrate the effectiveness of the proposed fuzzy sets.

Keywords

computational complexity; fuzzy control; fuzzy set theory; computational complexity; membership function; sine-square embedded fuzzy sets; Artificial neural networks; Computational modeling; Mathematical model; fuzzy set; membership function; nonstationary fuzzy set; sine-square set; type-2 fuzzy set;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems Man and Cybernetics (SMC), 2010 IEEE International Conference on

Conference_Location

Istanbul

ISSN

1062-922X

Print_ISBN

978-1-4244-6586-6

Type

conf

DOI

10.1109/ICSMC.2010.5641761

Filename

5641761