Fuzzy transforms

Authors:
Irina Perfilieva
Affiliations:
Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, Czech Republic
Venue:
Transactions on Rough Sets II
Year:
2005

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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.