Algebras of Definable Sets vs. Concept Lattices

Wasilewski, Piotr

doi:10.3233/FI-2019-1816

Artykuł - szczegóły

Tytuł artykułu

Algebras of Definable Sets vs. Concept Lattices

Autorzy

Wasilewski Piotr

Wybrane pełne teksty z tego czasopisma

https://fi.episciences.org/

Identyfikatory

DOI

10.3233/FI-2019-1816

Warianty tytułu

Języki publikacji

Abstrakty

The paper is aimed at comparing Rough Set Theory (RST) and Formal Concept Analysis (FCA) with respect to algebraic structures of concepts appearing in both theories, namely algebras of definable sets and concept lattices. The paper presents also basic ideas and concepts of RST and FCA together with some set theoretical concepts connected with set spaces which can serve as a convenient platform for a comparison of RST and FCA. In the last section there are shown necessary and sufficient conditions for the fact, that families of definable sets and concept extents determined by the same formal contexts are equal. This in finite cases is equivalent to an isomorphism of respective structures and generally reflects a very specific situation when both theories give the same conceptual hierarchies.

Słowa kluczowe

formal concept formal concept analysis granular set lattice rough set rough set theory

Wydawca

IOS Press

Czasopismo

Fundamenta Informaticae

Rocznik

2019

Tom

Vol. 167, nr 3

Strony

235--256

Opis fizyczny

Bibliogr. 58 poz., tab.

Twórcy

autor

Wasilewski Piotr

piotr@mimuw.edu.pl

Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-53deaa17-b7c1-49d1-836e-5c0a0289285c