Abstract
The technique of direct and inverse F-transforms is introduced and approximating properties of the inverse F-transform are described. Numerical methods based on fuzzy approximation models are developed. Among them are numeric integration and approximate solution of ordinary differential equations (the Cauchy problem). Advantages of the new technique based on F-transforms over some classical numeric methods are demonstrated on examples. © Springer-Verlag 2004.
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Perfilieva, I. (2004). Fuzzy transforms. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3135, 63–81. https://doi.org/10.1007/978-3-540-27778-1_5
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