About: Arithmetic Fuzzy Models

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	It is well known that a fuzzy rule base can be interpreted in different ways. From a logical point of view, the conjunctive interpretation is preferred, while from a practical point of view, the disjunctive interpretation has been dominantly present. Each of these interpretations results in a specific fuzzy relation modelling the fuzzy rule base. Basic interpolation requirements naturally suggest a corresponding inference mechanism: the direct image for the conjunctive interpretation, and the subdirect image for the disjunctive interpretation. Interpolation then corresponds to solvability of some system of fuzzy relational equations. In this paper, we show that other types of fuzzy relations, closely related to TakagiSugeno models, are of major interest as well. Under some mild requirements, these fuzzy relations turn out to be solutions of the same systems of fuzzy relational equations. It is well known that a fuzzy rule base can be interpreted in different ways. From a logical point of view, the conjunctive interpretation is preferred, while from a practical point of view, the disjunctive interpretation has been dominantly present. Each of these interpretations results in a specific fuzzy relation modelling the fuzzy rule base. Basic interpolation requirements naturally suggest a corresponding inference mechanism: the direct image for the conjunctive interpretation, and the subdirect image for the disjunctive interpretation. Interpolation then corresponds to solvability of some system of fuzzy relational equations. In this paper, we show that other types of fuzzy relations, closely related to TakagiSugeno models, are of major interest as well. Under some mild requirements, these fuzzy relations turn out to be solutions of the same systems of fuzzy relational equations. (en)
Title	Arithmetic Fuzzy Models Arithmetic Fuzzy Models (en)
skos:prefLabel	Arithmetic Fuzzy Models Arithmetic Fuzzy Models (en)
skos:notation	RIV/61988987:17610/10:A1100ZE3!RIV11-MSM-17610___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA108270902), Z(MSM6198898701)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Nosková, Lenka Štěpnička, Martin
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ostravská univerzita v Ostravě / Centrum excelence IT4Innovations, divize OU, Ústav pro výzkum a aplikace fuzzy modelování
http://linked.open...dnocenehoVysledku	247731
http://linked.open...ai/riv/idVysledku	RIV/61988987:17610/10:A1100ZE3
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Direct image; fuzzy relational equation; fuzzy rule base; interpolation; subdirect image (en)
http://linked.open.../riv/klicoveSlovo	fuzzy rule base Direct image subdirect image interpolation fuzzy relational equation
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[D387F2FBACAE]
http://linked.open...i/riv/nazevZdroje	IEEE T FUZZY SYST
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Theory of Semilinear Lattice-ordered Spaces
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	18
http://linked.open...iv/tvurceVysledku	Štěpnička, Martin De Baets, Bernard NOSKOVÁ, Lenka
http://linked.open...ain/vavai/riv/wos	000284855200004
http://linked.open...n/vavai/riv/zamer	Logické a algebraické metody pro zpracování informací zatížených neurčitostí a jejich použití ve fuzzy modelování
issn	1063-6706
number of pages	12 (xsd:int)
http://localhost/t...ganizacniJednotka	17610
is http://linked.open...avai/riv/vysledek of	Arithmetic Fuzzy Models Arithmetic Fuzzy Models Arithmetic Fuzzy Models

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