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Description
| - There are two main fuzzy system methodologies for translating expert rules into a logical formula: In Mamdani's methodology, we get a DNF formula (disjunction of conjunctions), and in a methodology which uses logical implications, we get, in effect, a CNF formula (conjunction of disjunctions). For both methodologies, universal approximation results have been proven.Since in fuzzy logic, there is a known relation F_CNF(x)<= F_DNF(x) between CNF and DNF forms of a propositional formula F, it is reasonable to expect that we would be able to prove the existence of approximations for which a similar relation F_CNF(x)<= F_DNF(x) holds. Such existence is proved in our paper.
- There are two main fuzzy system methodologies for translating expert rules into a logical formula: In Mamdani's methodology, we get a DNF formula (disjunction of conjunctions), and in a methodology which uses logical implications, we get, in effect, a CNF formula (conjunction of disjunctions). For both methodologies, universal approximation results have been proven.Since in fuzzy logic, there is a known relation F_CNF(x)<= F_DNF(x) between CNF and DNF forms of a propositional formula F, it is reasonable to expect that we would be able to prove the existence of approximations for which a similar relation F_CNF(x)<= F_DNF(x) holds. Such existence is proved in our paper. (en)
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Title
| - A New Universal Approximation Result For Fuzzy Systems, Which Reflects CNF--DNF Duality
- A New Universal Approximation Result For Fuzzy Systems, Which Reflects CNF--DNF Duality (en)
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skos:prefLabel
| - A New Universal Approximation Result For Fuzzy Systems, Which Reflects CNF--DNF Duality
- A New Universal Approximation Result For Fuzzy Systems, Which Reflects CNF--DNF Duality (en)
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skos:notation
| - RIV/61988987:17310/02:00000001!RIV/2003/MSM/173103/N
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http://linked.open.../vavai/riv/strany
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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/61988987:17310/02:00000001
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Disjunctive normal form,; Conjunctive normal form,; Fuzzy relation (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - International Journal of Intelligent Systems
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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...ocetUcastnikuAkce
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http://linked.open...nichUcastnikuAkce
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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
| - Kreinovich, Vladik
- Perfilieva, Irina
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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