F-transform is an approach for data manipulation. The technique of direct
and inverse fuzzy (F-)transforms of three different types is introduced and
approximating properties of the inverse F-transforms are described. The core
idea of the technique of F-transforms is a fuzzy partition of a universe into
fuzzy subsets (factors, clusters, granules etc.). For a sufficient representation
of a function could be could be considered using of F-transform.
F-transform brings a lot of theoretical and practical value to nowadays
approaches of approximation. Basic examples of usages are described in
this thesis.