F-transform with parametric generalized fuzzy partitions (Q429374)
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scientific article; zbMATH DE number 6047995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | F-transform with parametric generalized fuzzy partitions |
scientific article; zbMATH DE number 6047995 |
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F-transform with parametric generalized fuzzy partitions (English)
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19 June 2012
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fuzzy transform
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fuzzy partition
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smoothing
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curve fitting
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The fuzzy transform was introduced by \textit{I. Perfilieva} [Fuzzy Sets Syst. 157, No. 8, 993--1023 (2006; Zbl 1092.41022)] and having some interesting properties that allow its use in the curve fitting and smoothing data.NEWLINENEWLINEIn the present study the author suggests an extension of the fuzzy transform in order to control and improve the smoothing effect. Thus an optimization criterion is suggested to obtain the fuzzy transform having some approximation properties based on an estimation of the basic functions from a family of parametric fuzzy numbers. Further, the generalized fuzzy partitions are characterized by the number of subintervals. Some illustrative examples are also included. This is a good contribution in the related area.
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