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Operators and spaces associated to matrices with grades and their decompositions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F08%3A00005463" target="_blank" >RIV/61989592:15310/08:00005463 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Operators and spaces associated to matrices with grades and their decompositions

  • Original language description

    We present results on decompositions of matrices with grades, i.e. matrices I with entries from a bounded ordered set L such as the real unit interval [0, 1]. We consider decompositions of an n x m matrix I into a circular and triangular product A B of an n x k matrix A and a k x m matrix B with k as small as possible. This problem generalizes the decomposition problem of Boolean factor analysis in which a decomposition of a binary matrix is sought into two binary matrices and which is a particular caseof our setting when L has just two elements, namely 0 and 1. In our previous work, we proved that formal concepts of concept lattices associated to I are optimal factors for such decompositions. In this paper, we investigate concept-forming operators and concept lattices associated to decompositions of matrices and implications of these results.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BD - Information theory

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1ET101370417" target="_blank" >1ET101370417: Hierarchical analysis of complex data</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2008

  • 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 North American Fuzzy Information Processing Society

  • ISBN

    978-1-4244-2351-4

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    1-6

  • Publisher name

    IEEE Computer Society Press

  • Place of publication

    New York

  • Event location

    Washinton

  • Event date

    May 19, 2008

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article