Continuous and discrete higher-degree F-transforms based on B-splines

Martins Kokainis; Svetlana Asmuss

doi:10.1007/s00500-017-2655-y

Continuous and discrete higher-degree F-transforms based on B-splines

Martins Kokainis^*
, Svetlana Asmuss

^*Corresponding author for this work

University of Latvia

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The paper deals with the continuous and discrete higher-degree fuzzy transforms (F-transforms with polynomial components) with respect to a generalized fuzzy partition given by B-splines. We investigate properties of the direct and inverse F-transforms in these cases and prove that using B-splines allows us to improve the quality of approximation of smooth functions.

Original language	English
Pages (from-to)	3615-3639
Number of pages	25
Journal	Soft Computing
Volume	21
Issue number	13
DOIs	https://doi.org/10.1007/s00500-017-2655-y
Publication status	Published - 1 Jul 2017

Keywords

Approximation error
B-splines
Fuzzy transform

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10.1007/s00500-017-2655-y

Cite this

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title = "Continuous and discrete higher-degree F-transforms based on B-splines",

abstract = "The paper deals with the continuous and discrete higher-degree fuzzy transforms (F-transforms with polynomial components) with respect to a generalized fuzzy partition given by B-splines. We investigate properties of the direct and inverse F-transforms in these cases and prove that using B-splines allows us to improve the quality of approximation of smooth functions.",

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AU - Kokainis, Martins

AU - Asmuss, Svetlana

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N2 - The paper deals with the continuous and discrete higher-degree fuzzy transforms (F-transforms with polynomial components) with respect to a generalized fuzzy partition given by B-splines. We investigate properties of the direct and inverse F-transforms in these cases and prove that using B-splines allows us to improve the quality of approximation of smooth functions.

AB - The paper deals with the continuous and discrete higher-degree fuzzy transforms (F-transforms with polynomial components) with respect to a generalized fuzzy partition given by B-splines. We investigate properties of the direct and inverse F-transforms in these cases and prove that using B-splines allows us to improve the quality of approximation of smooth functions.

KW - Approximation error

KW - B-splines

KW - Fuzzy transform

UR - https://www.scopus.com/pages/publications/85020101892

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DO - 10.1007/s00500-017-2655-y

M3 - Article

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SN - 1432-7643

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SP - 3615

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JO - Soft Computing

JF - Soft Computing

IS - 13

ER -

Continuous and discrete higher-degree F-transforms based on B-splines

Abstract

Keywords

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