Fuzzy transforms: Theory and applications
Copyright policy )Fuzzy transforms: Theory and applications
In this paper the technique of the direct and inverse fuzzy transform is introduced and approximation properties of the inverse fuzzy transform are established. Two new fuzzy transforms based on operations of a residuated lattice on \([0,1]\) are introduced. These new lattice fuzzy transforms lead to new approximation models. Three types of the inverse fuzzy transforms are compared. A method of lossy image compression and reconstruction on the basis of the fuzzy transform is presented as an application.
- University of Ostrava Czech Republic
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), fuzzy transform, universal approximation, fuzzy partition, Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science), data compression
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), fuzzy transform, universal approximation, fuzzy partition, Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science), data compression
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