The paper tackles the problem of executing high-dimensional fuzzy inferences following zeroth- and first-order Takagi–Sugeno inference models. The choice of a proper AND operator, which is compatible with all the semantic requirements for a conjunctive aggregation, results in an input–output relationship which is piecewise affine or quadratic. The proposed inference procedures exploit this to perform the computation from inputs to output in a time that does not grow exponentially with the number of inputs. Some details of the implementation of the two inference procedures on a TMS320C6201 are given along with some simulation results demonstrating the effectiveness of the piecewise approach.
High speed DSP-based implementation of piecewise-affine and piecewise-quadratic fuzzy systems / R., Rovatti; Fantuzzi, Cesare; S., Simani. - In: SIGNAL PROCESSING. - ISSN 0165-1684. - STAMPA. - 80:6(2000), pp. 951-963. [10.1016/S0165-1684(00)00013-X]
High speed DSP-based implementation of piecewise-affine and piecewise-quadratic fuzzy systems
FANTUZZI, Cesare;
2000
Abstract
The paper tackles the problem of executing high-dimensional fuzzy inferences following zeroth- and first-order Takagi–Sugeno inference models. The choice of a proper AND operator, which is compatible with all the semantic requirements for a conjunctive aggregation, results in an input–output relationship which is piecewise affine or quadratic. The proposed inference procedures exploit this to perform the computation from inputs to output in a time that does not grow exponentially with the number of inputs. Some details of the implementation of the two inference procedures on a TMS320C6201 are given along with some simulation results demonstrating the effectiveness of the piecewise approach.Pubblicazioni consigliate
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