About: Arithmetics of Extensional Fuzzy Numbers -- Part II: Algebraic framework

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In the first part of this contribution, we proposed extensional fuzzy numbers and a working arithmetic for them that may be abstracted to so-called many identities algebras (MI-algebras, for short). In this second part, we show that the proposed MI-algebras give a framework not only for the arithmetic of extensional fuzzy numbers, but also for other arithmetics of fuzzy numbers and even more general sets of real vectors used in mathematical morphology. This entitles us to develop a theory of MI-algebras to study general properties of structures for which the standard algebras are not appropriate. Some of the basic concepts and properties are presented here. In the first part of this contribution, we proposed extensional fuzzy numbers and a working arithmetic for them that may be abstracted to so-called many identities algebras (MI-algebras, for short). In this second part, we show that the proposed MI-algebras give a framework not only for the arithmetic of extensional fuzzy numbers, but also for other arithmetics of fuzzy numbers and even more general sets of real vectors used in mathematical morphology. This entitles us to develop a theory of MI-algebras to study general properties of structures for which the standard algebras are not appropriate. Some of the basic concepts and properties are presented here. (en)
Title	Arithmetics of Extensional Fuzzy Numbers -- Part II: Algebraic framework Arithmetics of Extensional Fuzzy Numbers -- Part II: Algebraic framework (en)
skos:prefLabel	Arithmetics of Extensional Fuzzy Numbers -- Part II: Algebraic framework Arithmetics of Extensional Fuzzy Numbers -- Part II: Algebraic framework (en)
skos:notation	RIV/61988987:17610/12:A13015NH!RIV13-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...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Štěpnička, Martin Holčapek, Michal
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	Ostravská univerzita v Ostravě / Centrum excelence IT4Innovations, divize OU, Ústav pro výzkum a aplikace fuzzy modelování
http://linked.open...dnocenehoVysledku	123655
http://linked.open...ai/riv/idVysledku	RIV/61988987:17610/12:A13015NH
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	fuzzy numbers; arithmetic; field; group; MI-group; Mi-field (en)
http://linked.open.../riv/klicoveSlovo	arithmetic fuzzy numbers MI-group Mi-field field group
http://linked.open...ontrolniKodProRIV	[96B80CD4F05B]
http://linked.open...v/mistoKonaniAkce	Brisbane
http://linked.open...i/riv/nazevZdroje	Proc. of FUZZ-IEEE 2012
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Holčapek, Michal Štěpnička, Martin
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000309188200212
http://linked.open.../riv/zahajeniAkce	2012-01-01 (xsd:date)
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	IEEE
https://schema.org/isbn	978-1-4673-1506-7
http://localhost/t...ganizacniJednotka	17610
is http://linked.open...avai/riv/vysledek of	Arithmetics of Extensional Fuzzy Numbers -- Part II: Algebraic framework

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