Geodesic
Fuzzy Control Based on Fuzzy Relation Equations
Yugoslav journal of operations research, Tome 9 (1999) no. 2, p. 273
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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 },
     year = {1999},
     volume = {9},
     number = {2},
     zbl = {0964.93062},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_1999_9_2_a8/}
}
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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/