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| Description
| - In three case studies on notions of fuzzy logic and fuzzy set theory (Dubois–Prade’s gradual elements, the entropy of a fuzzy set, and aggregation operators), the paper exemplifies methodological differences between traditional and deductive fuzzy logic. While traditional fuzzy logic admits various interpretations of membership degrees, deductive fuzzy logic always interprets them as degrees of truth preserved under inference. The latter fact imposes several constraints on systems of deductive fuzzy logic, which need not be followed by mainstream fuzzy logic. That makes deductive fuzzy logic a specific area of research that can be characterized both methodologically (by constraints on meaningful definitions) and formally (as a specific class of logical systems). An analysis of the relationship between deductive and traditional fuzzy logic is offered.
- In three case studies on notions of fuzzy logic and fuzzy set theory (Dubois–Prade’s gradual elements, the entropy of a fuzzy set, and aggregation operators), the paper exemplifies methodological differences between traditional and deductive fuzzy logic. While traditional fuzzy logic admits various interpretations of membership degrees, deductive fuzzy logic always interprets them as degrees of truth preserved under inference. The latter fact imposes several constraints on systems of deductive fuzzy logic, which need not be followed by mainstream fuzzy logic. That makes deductive fuzzy logic a specific area of research that can be characterized both methodologically (by constraints on meaningful definitions) and formally (as a specific class of logical systems). An analysis of the relationship between deductive and traditional fuzzy logic is offered. (en)
- Metodologické rozdíly mezi tradiční a deduktivní fuzzy logikou jsou v článku demonstrovány na třech případových studiích týkajících se pojmů Duboisových-Pradových graduálních prvků, entropie fuzzy množiny a agregačních operátorů. Na rozdíl od tradiční fuzzy logiky, která připouští rozmanité interpretace stupňů příslušnosti, deduktivní fuzzy logika je interpretuje zásadně jako stupně pravdivosti zachovávané inferencí. To podřizuje systémy deduktivní fuzzy logiky určitým omezením, kterými tradiční fuzzy logika není vázána. Deduktivní fuzzy logika je proto jejím specifickým podoborem, který lze charakterizovat metodologicky (omezeními kladenými na smysluplné definice) i formálně (jakožto určitou třídu logických systémů). Článek rovněž poskytuje analýzu vztahu mezi deduktivní a tradiční fuzzy logikou. (cs)
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| Title
| - On the Difference between Traditional and Deductive Fuzzy Logic
- On the Difference between Traditional and Deductive Fuzzy Logic (en)
- K rozdílu mezi tradiční a deduktivní fuzzy logikou (cs)
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| skos:prefLabel
| - On the Difference between Traditional and Deductive Fuzzy Logic
- On the Difference between Traditional and Deductive Fuzzy Logic (en)
- K rozdílu mezi tradiční a deduktivní fuzzy logikou (cs)
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| skos:notation
| - RIV/67985807:_____/08:00325353!RIV09-AV0-67985807
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
| - P(KJB100300502), Z(AV0Z10300504)
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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/67985807:_____/08:00325353
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - deductive fuzzy logic; fuzzy elements; gradual sets; entropy of fuzzy sets; aggregation; membership degrees; methodology of fuzzy mathematics (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
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| http://linked.open...ain/vavai/riv/wos
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| http://linked.open...n/vavai/riv/zamer
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| is http://linked.open...avai/riv/vysledek
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