Fuzzy inverse reasoning performed using fuzzy relational equations can be employed to deduce control actions appropriate for a desired process output. The three-tank plant to be controlled has two inputs and hence the fuzzy relational equation describing the dynamics of the plant is a two-decision variable equation. Algorithms are only available for solving equations that have a single decision variable. A method is proposed in this paper to decompose the two-decision-variable fuzzy relational equation into single-decision-variable equations so that existing algorithms can be applied to produce control actions for the plant.
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