About: Central points and approximation in residuated lattices

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Given a subset $B$ of a complete residuated lattice, what are its points which are reasonably close to any point of $B$? What are the best such points? In this paper, we seek to answer these questions provided closeness is assessed by means of biresiduum, i.e. the truth function of equivalence in fuzzy logic. In addition, we present two algorithms which output, for a given input set $M$ of points in a residuated lattice, another set $K$ which approximates $M$ to a desired degree. We prove that the algorithms are optimal in that the set $K$ is minimal in terms of the number of its elements. Moreover, we show that the elements of any set $K'$ with such property are bounded from below and from above by the elements produced by the two algorithms. Given a subset $B$ of a complete residuated lattice, what are its points which are reasonably close to any point of $B$? What are the best such points? In this paper, we seek to answer these questions provided closeness is assessed by means of biresiduum, i.e. the truth function of equivalence in fuzzy logic. In addition, we present two algorithms which output, for a given input set $M$ of points in a residuated lattice, another set $K$ which approximates $M$ to a desired degree. We prove that the algorithms are optimal in that the set $K$ is minimal in terms of the number of its elements. Moreover, we show that the elements of any set $K'$ with such property are bounded from below and from above by the elements produced by the two algorithms. (en)
Title	Central points and approximation in residuated lattices Central points and approximation in residuated lattices (en)
skos:prefLabel	Central points and approximation in residuated lattices Central points and approximation in residuated lattices (en)
skos:notation	RIV/61989592:15310/08:00005693!RIV10-MSM-15310___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6198959214)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Krupka, Michal Bělohlávek, Radim
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	359109
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/08:00005693
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	central point; approximation; residuated lattice (en)
http://linked.open.../riv/klicoveSlovo	approximation residuated lattice central point
http://linked.open...ontrolniKodProRIV	[1EF47ADFDD24]
http://linked.open...i/riv/mistoVydani	Malaga, Španělsko
http://linked.open...i/riv/nazevZdroje	Information Processing and Management of Uncertainty in Knowledge-Based Systems
http://linked.open...in/vavai/riv/obor	BD
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Bělohlávek, Radim Krupka, Michal
http://linked.open...n/vavai/riv/zamer	Matematické modely a struktury
number of pages	1273 (xsd:int)
http://purl.org/ne...btex#hasPublisher	University of Malaga
https://schema.org/isbn	978-84-612-3061-7
http://localhost/t...ganizacniJednotka	15310
is http://linked.open...avai/riv/vysledek of	Central points and approximation in residuated lattices Central points and approximation in residuated lattices Central points and approximation in residuated lattices Central points and approximation in residuated lattices

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