"P(KJB100300502), Z(AV0Z10300504)" . . . "K rozd\u00EDlu mezi tradi\u010Dn\u00ED a deduktivn\u00ED fuzzy logikou"@cs . . "NL - Nizozemsko" . . "Fuzzy Sets and Systems" . . "B\u011Bhounek, Libor" . . "In three case studies on notions of fuzzy logic and fuzzy set theory (Dubois\u2013Prade\u2019s 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 . "[1F8CAD324D31]" . "384720" . "RIV/67985807:_____/08:00325353!RIV09-AV0-67985807" . . "K rozd\u00EDlu mezi tradi\u010Dn\u00ED a deduktivn\u00ED fuzzy logikou"@cs . "deductive fuzzy logic; fuzzy elements; gradual sets; entropy of fuzzy sets; aggregation; membership degrees; methodology of fuzzy mathematics"@en . "Metodologick\u00E9 rozd\u00EDly mezi tradi\u010Dn\u00ED a deduktivn\u00ED fuzzy logikou jsou v \u010Dl\u00E1nku demonstrov\u00E1ny na t\u0159ech p\u0159\u00EDpadov\u00FDch studi\u00EDch t\u00FDkaj\u00EDc\u00EDch se pojm\u016F Duboisov\u00FDch-Pradov\u00FDch gradu\u00E1ln\u00EDch prvk\u016F, entropie fuzzy mno\u017Einy a agrega\u010Dn\u00EDch oper\u00E1tor\u016F. Na rozd\u00EDl od tradi\u010Dn\u00ED fuzzy logiky, kter\u00E1 p\u0159ipou\u0161t\u00ED rozmanit\u00E9 interpretace stup\u0148\u016F p\u0159\u00EDslu\u0161nosti, deduktivn\u00ED fuzzy logika je interpretuje z\u00E1sadn\u011B jako stupn\u011B pravdivosti zachov\u00E1van\u00E9 inferenc\u00ED. To pod\u0159izuje syst\u00E9my deduktivn\u00ED fuzzy logiky ur\u010Dit\u00FDm omezen\u00EDm, kter\u00FDmi tradi\u010Dn\u00ED fuzzy logika nen\u00ED v\u00E1z\u00E1na. Deduktivn\u00ED fuzzy logika je proto jej\u00EDm specifick\u00FDm podoborem, kter\u00FD lze charakterizovat metodologicky (omezen\u00EDmi kladen\u00FDmi na smyslupln\u00E9 definice) i form\u00E1ln\u011B (jako\u017Eto ur\u010Ditou t\u0159\u00EDdu logick\u00FDch syst\u00E9m\u016F). \u010Cl\u00E1nek rovn\u011B\u017E poskytuje anal\u00FDzu vztahu mezi deduktivn\u00ED a tradi\u010Dn\u00ED fuzzy logikou."@cs . "1"^^ . . . . . "10" . "1"^^ . . . "On the Difference between Traditional and Deductive Fuzzy Logic" . "In three case studies on notions of fuzzy logic and fuzzy set theory (Dubois\u2013Prade\u2019s 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." . . "000255470500003" . . "159" . "On the Difference between Traditional and Deductive Fuzzy Logic"@en . . "On the Difference between Traditional and Deductive Fuzzy Logic" . "RIV/67985807:_____/08:00325353" . "On the Difference between Traditional and Deductive Fuzzy Logic"@en . . . . "12"^^ . . . "0165-0114" .