About: Interpolativity of at-least and at-most models of monotone single-input/single-output fuzzy rule bases

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Interpolativity is one of the most important properties of a fuzzy inference system. It is well known that normal antecedent fuzzy sets forming a Ruspini partition constitute a practical setting ensuring interpolativity. In case of a fuzzy rule base expressing a monotone relationship, another desirable property is the monotonicity of the resulting function (after defuzzification). Unfortunately, this goal may often only be reached through the application of the at-least and/or at-most modifiers to the antecedent and consequent fuzzy sets. However, this approach does not seem compatible with the practical setting of a Ruspini partition. This paper shows that the situation is less conflicting than it seems, and that interpolativity can still be guaranteed, in the same practical setting, and, interestingly, from two different modeling points of view. This paper addresses the case of single-input single-output fuzzy rules. Interpolativity is one of the most important properties of a fuzzy inference system. It is well known that normal antecedent fuzzy sets forming a Ruspini partition constitute a practical setting ensuring interpolativity. In case of a fuzzy rule base expressing a monotone relationship, another desirable property is the monotonicity of the resulting function (after defuzzification). Unfortunately, this goal may often only be reached through the application of the at-least and/or at-most modifiers to the antecedent and consequent fuzzy sets. However, this approach does not seem compatible with the practical setting of a Ruspini partition. This paper shows that the situation is less conflicting than it seems, and that interpolativity can still be guaranteed, in the same practical setting, and, interestingly, from two different modeling points of view. This paper addresses the case of single-input single-output fuzzy rules. (en)
Title	Interpolativity of at-least and at-most models of monotone single-input/single-output fuzzy rule bases Interpolativity of at-least and at-most models of monotone single-input/single-output fuzzy rule bases (en)
skos:prefLabel	Interpolativity of at-least and at-most models of monotone single-input/single-output fuzzy rule bases Interpolativity of at-least and at-most models of monotone single-input/single-output fuzzy rule bases (en)
skos:notation	RIV/61988987:17610/13:A1300ZNZ!RIV13-AV0-17610___
http://linked.open...avai/predkladatel	Centrum excelence IT4Innovations, divize OU, Ústav pro výzkum a aplikace fuzzy modelování
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA108270902), Z(MSM6198898701)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	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	80869
http://linked.open...ai/riv/idVysledku	RIV/61988987:17610/13:A1300ZNZ
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Interpolativity; Fuzzy relational equations; At-least and at-most modifiers; Fuzzy rule-based systems; Monotonicity (en)
http://linked.open.../riv/klicoveSlovo	At-least and at-most modifiers Fuzzy rule-based systems Fuzzy relational equations Interpolativity Monotonicity
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[C5C8B61B3921]
http://linked.open...i/riv/nazevZdroje	INFORM SCIENCES
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Theory of Semilinear Lattice-ordered Spaces
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	234
http://linked.open...iv/tvurceVysledku	Štěpnička, Martin De Baets, Bernard
http://linked.open...n/vavai/riv/zamer	Logické a algebraické metody pro zpracování informací zatížených neurčitostí a jejich použití ve fuzzy modelování
issn	0020-0255
number of pages	13 (xsd:int)
http://localhost/t...ganizacniJednotka	17610

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