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rdf:type
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Description
| - The existing arithmetics of fuzzy numbers, usually stemming from the ?-cut arithmetic, do not preserve some of the important properties of the standard arithmetics of real numbers. We present a novel framework for arithmetics of extensional fuzzy numbers that more or less preserves all the important (algebraic) properties of the arithmetic of real numbers and thus seems to be an important seed for further investigations on this topic. The investigation leads to novel algebraic structures - MI-algebras (MI-monoids, MI-groups, MI-fields) - that abstract the discussed properties. The main idea of these structures is based on a set of ?pseudoidentities? that complements the only commonly used identity element in a monoid/group structure.
- The existing arithmetics of fuzzy numbers, usually stemming from the ?-cut arithmetic, do not preserve some of the important properties of the standard arithmetics of real numbers. We present a novel framework for arithmetics of extensional fuzzy numbers that more or less preserves all the important (algebraic) properties of the arithmetic of real numbers and thus seems to be an important seed for further investigations on this topic. The investigation leads to novel algebraic structures - MI-algebras (MI-monoids, MI-groups, MI-fields) - that abstract the discussed properties. The main idea of these structures is based on a set of ?pseudoidentities? that complements the only commonly used identity element in a monoid/group structure. (en)
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Title
| - MI-algebras: a new framework for arithmetics of (extensional) fuzzy numbers
- MI-algebras: a new framework for arithmetics of (extensional) fuzzy numbers (en)
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skos:prefLabel
| - MI-algebras: a new framework for arithmetics of (extensional) fuzzy numbers
- MI-algebras: a new framework for arithmetics of (extensional) fuzzy numbers (en)
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skos:notation
| - RIV/61988987:17610/14:A15015U3!RIV15-MSM-17610___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61988987:17610/14:A15015U3
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Fuzzy numbers; Arithmetics of fuzzy numbers; MI-monoid; MI-group; MI-field (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Holčapek, Michal
- Štěpnička, Martin
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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