About: Implication-based models of monotone fuzzy rule bases

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Implication-based models of monotone fuzzy rule bases Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We consider the prototypical case of an increasing relationship between each of the input variables and the output variable. When using fuzzy rule-based models, this desired monotonicity is reflected in the rule base, given an appropriate ordering on the fuzzy sets involved in the respective input and output domains. However, fuzzy rule-based modelling involves a final defuzzification step, possibly resulting in a function that is no longer monotone. In the context of Mamdani--Assilian conjunctive fuzzy models, ample attention has been paid to this problem, both for the center-of-gravity defuzzification and mean-of-maxima defuzzification methods. In this paper, we show that for implicative fuzzy models, the non-monotonicity problem can be circumvented by making explicit the semantics of the fuzzy rules by subjecting the antecedent and consequent fuzzy sets to the at-least and/or at-most modifiers. We consider the prototypical case of an increasing relationship between each of the input variables and the output variable. When using fuzzy rule-based models, this desired monotonicity is reflected in the rule base, given an appropriate ordering on the fuzzy sets involved in the respective input and output domains. However, fuzzy rule-based modelling involves a final defuzzification step, possibly resulting in a function that is no longer monotone. In the context of Mamdani--Assilian conjunctive fuzzy models, ample attention has been paid to this problem, both for the center-of-gravity defuzzification and mean-of-maxima defuzzification methods. In this paper, we show that for implicative fuzzy models, the non-monotonicity problem can be circumvented by making explicit the semantics of the fuzzy rules by subjecting the antecedent and consequent fuzzy sets to the at-least and/or at-most modifiers. (en)
Title	Implication-based models of monotone fuzzy rule bases Implication-based models of monotone fuzzy rule bases (en)
skos:prefLabel	Implication-based models of monotone fuzzy rule bases Implication-based models of monotone fuzzy rule bases (en)
skos:notation	RIV/61988987:17610/13:A1400ZO0!RIV14-MSM-17610___
http://linked.open...avai/predkladatel	Centrum excelence IT4Innovations, divize OU, Ústav pro výzkum a aplikace fuzzy modelování
http://linked.open...avai/riv/aktivita	O
http://linked.open...avai/riv/aktivity	O
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2014
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	79209
http://linked.open...ai/riv/idVysledku	RIV/61988987:17610/13:A1400ZO0
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Fuzzy rule-based models; Implicative models; Defuzzification; Monotonicity; At least and at most modifiers (en)
http://linked.open.../riv/klicoveSlovo	At least and at most modifiers Defuzzification Fuzzy rule-based models Implicative models Monotonicity
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[153BF184AD0A]
http://linked.open...i/riv/nazevZdroje	FUZZY SET SYST
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...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	232
http://linked.open...iv/tvurceVysledku	Štěpnička, Martin De Baets, Bernard
issn	0165-0114
number of pages	22 (xsd:int)
http://localhost/t...ganizacniJednotka	17610

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software