On approximation capability of pseudo-linear Shepard approximation operators

Imre J. Rudas; Barnabás Bede; Hajime Nobuhara; Kaoru Hirota

doi:10.1109/FUZZY.2006.1681876

On approximation capability of pseudo-linear Shepard approximation operators

Imre J. Rudas^*, Barnabás Bede, Hajime Nobuhara, Kaoru Hirota

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Citations (Scopus)

Abstract

Recently it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators but several operations provided by fuzzy logic can be used. In this sense, in the present paper, pseudo-linear approximation operators of Shepard-type are studied from the practical point of view, in function approximation. It is shown that in several cases these outperform classical approximation operators based on sum and product operations.

Original language	English
Title of host publication	2006 IEEE International Conference on Fuzzy Systems
Pages	1292-1297
Number of pages	6
DOIs	https://doi.org/10.1109/FUZZY.2006.1681876
Publication status	Published - 2006
Externally published	Yes
Event	2006 IEEE International Conference on Fuzzy Systems - Vancouver, BC, Canada Duration: 16 Jul 2006 → 21 Jul 2006

Publication series

Name	IEEE International Conference on Fuzzy Systems
ISSN (Print)	1098-7584

Conference

Conference	2006 IEEE International Conference on Fuzzy Systems
Country/Territory	Canada
City	Vancouver, BC
Period	16/07/06 → 21/07/06

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10.1109/FUZZY.2006.1681876

Cite this

Rudas, I. J., Bede, B., Nobuhara, H., & Hirota, K. (2006). On approximation capability of pseudo-linear Shepard approximation operators. In 2006 IEEE International Conference on Fuzzy Systems (pp. 1292-1297). Article 1681876 (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZY.2006.1681876

@inproceedings{014e5a644fa04152aa51c6cdee2fca8f,

title = "On approximation capability of pseudo-linear Shepard approximation operators",

abstract = "Recently it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators but several operations provided by fuzzy logic can be used. In this sense, in the present paper, pseudo-linear approximation operators of Shepard-type are studied from the practical point of view, in function approximation. It is shown that in several cases these outperform classical approximation operators based on sum and product operations.",

author = "Rudas, {Imre J.} and Barnab{\'a}s Bede and Hajime Nobuhara and Kaoru Hirota",

year = "2006",

doi = "10.1109/FUZZY.2006.1681876",

language = "English",

isbn = "0780394887",

series = "IEEE International Conference on Fuzzy Systems",

pages = "1292--1297",

booktitle = "2006 IEEE International Conference on Fuzzy Systems",

note = "2006 IEEE International Conference on Fuzzy Systems ; Conference date: 16-07-2006 Through 21-07-2006",

}

Rudas, IJ, Bede, B, Nobuhara, H & Hirota, K 2006, On approximation capability of pseudo-linear Shepard approximation operators. in 2006 IEEE International Conference on Fuzzy Systems., 1681876, IEEE International Conference on Fuzzy Systems, pp. 1292-1297, 2006 IEEE International Conference on Fuzzy Systems, Vancouver, BC, Canada, 16/07/06. https://doi.org/10.1109/FUZZY.2006.1681876

On approximation capability of pseudo-linear Shepard approximation operators. / Rudas, Imre J.; Bede, Barnabás; Nobuhara, Hajime et al.
2006 IEEE International Conference on Fuzzy Systems. 2006. p. 1292-1297 1681876 (IEEE International Conference on Fuzzy Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - On approximation capability of pseudo-linear Shepard approximation operators

AU - Rudas, Imre J.

AU - Bede, Barnabás

AU - Nobuhara, Hajime

AU - Hirota, Kaoru

PY - 2006

Y1 - 2006

N2 - Recently it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators but several operations provided by fuzzy logic can be used. In this sense, in the present paper, pseudo-linear approximation operators of Shepard-type are studied from the practical point of view, in function approximation. It is shown that in several cases these outperform classical approximation operators based on sum and product operations.

AB - Recently it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators but several operations provided by fuzzy logic can be used. In this sense, in the present paper, pseudo-linear approximation operators of Shepard-type are studied from the practical point of view, in function approximation. It is shown that in several cases these outperform classical approximation operators based on sum and product operations.

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U2 - 10.1109/FUZZY.2006.1681876

DO - 10.1109/FUZZY.2006.1681876

M3 - Conference contribution

AN - SCOPUS:34250768124

SN - 0780394887

SN - 9780780394889

T3 - IEEE International Conference on Fuzzy Systems

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T2 - 2006 IEEE International Conference on Fuzzy Systems

Y2 - 16 July 2006 through 21 July 2006

ER -

On approximation capability of pseudo-linear Shepard approximation operators

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