TY - JOUR
ID - 3325
TI - ARITHMETIC-BASED FUZZY CONTROL
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Dombi, Jozsef
AU - Szepe, Tamas
AD - Institute of Informatics, University of Szeged, Szeged, Hungary
AD - Department of Technical Informatics, University of Szeged, Szeged,
Hungary
Y1 - 2017
PY - 2017
VL - 14
IS - 4
SP - 51
EP - 66
KW - Fuzzy controller
KW - Mamdani controller
KW - Defuzzification
KW - Fuzzy arithmetic
DO - 10.22111/ijfs.2017.3325
N2 - Fuzzy control is one of the most important parts of fuzzy theory for which several approaches exist. Mamdani uses $\alpha$-cuts and builds the union of the membership functions which is called the aggregated consequence function. The resulting function is the starting point of the defuzzification process. In this article, we define a more natural way to calculate the aggregated consequence function via arithmetical operators. Defuzzification is the optimum value of the resultant membership function. The left and right hand sides of the membership function will be handled separately. Here, we present a new ABFC (Arithmetic Based Fuzzy Control) algorithm based on arithmetic operations which use a new defuzzification approach. The solution is much smoother, more accurate, and much faster than the classical Mamdani controller.
UR - https://ijfs.usb.ac.ir/article_3325.html
L1 - https://ijfs.usb.ac.ir/article_3325_9b07cd96f753146bc25062151c7c05e8.pdf
ER -