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A comparison of smoothing filter based on fuzzy transform and Nadaraya-Watson estimators

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F11%3AA12012TE" target="_blank" >RIV/61988987:17610/11:A12012TE - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27510/11:86079331

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A comparison of smoothing filter based on fuzzy transform and Nadaraya-Watson estimators

  • Original language description

    Data smoothing is an important step within a data processing allowing one to stress the most important patterns. In literature we can find many different smoothing techniques and filter types. Recently, Holcapek and Tichy (2010, 2011) suggested smoothingfilters based on fuzzy transform approach introduced by Perfilieva (2004). For this purpose, a generalization of the concept of fuzzy partition was suggested and the smoothing filter was defined as a combination of the direct discrete fuzzy transform and a slightly modified inverse continuous fuzzy transform. In this paper we compare the proposed filter with the Nadaraya-Watson estimator. We provide an approximative relation of both filters by an optimal parameter selection.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 29th International Conference on Mathematical Methods in Economics 2011

  • ISBN

    978-80-7431-058-4

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    260-265

  • Publisher name

  • Place of publication

    Praha: VŠE Praha

  • Event location

    Liptovský Ján, Slovensko

  • Event date

    Sep 6, 2011

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article