Fuzzy systems of Mamdani type in the LU representation

Author

Peterson, Matthew P. ; Bede, B. ; Stefanini, Luciano

Author_Institution

Dept. of Math., DigiPen Inst. of Technol., Redmond, WA, USA

fYear

2013

fDate

24-28 June 2013

Firstpage

908

Lastpage

913

Abstract

LU parametric representation of fuzzy numbers describes fuzzy sets via the lower and upper endpoints of the level sets. This representation is used in the present paper to develop a single input single output fuzzy system of Mamdani type. The functions returning the endpoints of the level sets of a Mamdani system are calculated and the defuzzification is also described in the new LU-setting. The advantage provided by the LU representation is a reduced computational complexity, yet providing the same output as a Mamdani system, making in this way Mamdani systems directly and easily usable in real-time interactive simulation.

Keywords

computational complexity; fuzzy control; fuzzy set theory; fuzzy systems; LU parametric representation; LU representation; LU-setting; Mamdani type; computational complexity; defuzzification; fuzzy numbers; fuzzy sets; fuzzy systems; level sets; lower endpoints; real-time interactive simulation; single input single output fuzzy system; upper endpoints; Function approximation; Fuzzy control; Fuzzy logic; Fuzzy sets; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint

Conference_Location

Edmonton, AB

Type

conf

DOI

10.1109/IFSA-NAFIPS.2013.6608521

Filename

6608521