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

^*Šī darba korespondējošais autors

University of Latvia

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

7 Atsauces (Scopus)

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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.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	3615-3639
Lapu skaits	25
Žurnāls	Soft Computing
Sējums	21
Izdevuma numurs	13
DOIs	https://doi.org/10.1007/s00500-017-2655-y
Publikācijas statuss	Publicēts - 1 jūl. 2017

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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.",

keywords = "Approximation error, B-splines, Fuzzy transform",

author = "Martins Kokainis and Svetlana Asmuss",

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doi = "10.1007/s00500-017-2655-y",

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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

U2 - 10.1007/s00500-017-2655-y

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

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