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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