Advances in Fuzzy Systems / 2018 / Article / Alg 1

Research Article

A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System

Algorithm 1

Approximation of a set of data by using the extended inverse F-transform.
n≔n0
Create the fuzzy partition
Calculate the direct F-transform components
WHILE the dataset is sufficiently dense with respect to the fuzzy
partition
Calculate the approximation error
IF (approximation error ≤ threshold) THEN
Store the direct F-transform components
RETURN  “SUCCESS”
END IF
n≔n+1
Calculate the extended direct F-transform components
END WHILE
RETURN  “ERROR: Dataset not sufficiently dense”
END

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