Fuzzy Control Based on Fuzzy Relation Equations
Yugoslav journal of operations research, Tome 9 (1999) no. 2, p. 273 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The paper discusses fuzzy controllers based on fuzzy relation equations in the case when fuzzy controller inputs are exact. The Godelian implication and minimum function as $t$-norm are considered. The fuzzy relation equation with sup-t composition results in plausible control and the adjoint equation leads to simple fuzzy control (min-max inference method). The computation of fuzzy relations is not necessary. The relation between fuzzy plausible control and simple fuzzy control is discussed. Control algorithms are compared on a simulation example.
Classification : 93C42 94D05
Keywords: Fuzzy control theory, fuzzy operators, decision making.
@article{YJOR_1999_9_2_a8,
     author = {Vladimir Pavlica and Du\v{s}an Petrova\v{c}ki},
     title = {Fuzzy {Control} {Based} on {Fuzzy} {Relation} {Equations}},
     journal = {Yugoslav journal of operations research},
     pages = {273 },
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1999},
     zbl = {0964.93062},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_1999_9_2_a8/}
}
TY  - JOUR
AU  - Vladimir Pavlica
AU  - Dušan Petrovački
TI  - Fuzzy Control Based on Fuzzy Relation Equations
JO  - Yugoslav journal of operations research
PY  - 1999
SP  - 273 
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/YJOR_1999_9_2_a8/
LA  - en
ID  - YJOR_1999_9_2_a8
ER  - 
%0 Journal Article
%A Vladimir Pavlica
%A Dušan Petrovački
%T Fuzzy Control Based on Fuzzy Relation Equations
%J Yugoslav journal of operations research
%D 1999
%P 273 
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/YJOR_1999_9_2_a8/
%G en
%F YJOR_1999_9_2_a8
Vladimir Pavlica; Dušan Petrovački. Fuzzy Control Based on Fuzzy Relation Equations. Yugoslav journal of operations research, Tome 9 (1999) no. 2, p. 273 . http://geodesic.mathdoc.fr/item/YJOR_1999_9_2_a8/