. "0-444-51379-5" . . "Normal Forms for Fuzzy Relations and their Contribution to Universal Approximation"@en . "0"^^ . "1"^^ . "0"^^ . "[FA8CFDDE0BB9]" . "Neuveden" . "Normal Forms for Fuzzy Relations and their Contribution to Universal Approximation" . "Elsevier" . . "381-392" . "This paper continues the investigation of approximating properties of generalized normal forms in fuzzy logic. The problem is formalized and solved algebraically. Normal forms are considered in two variants: infinite and finite. It is proved that inf inite normal forms are universal representation formulas whereas finite normal forms are universal approximation formulas for extensional functions. The estimation of the quality of approximation is suggested. Moreover, functions which can be precis ely represented by the discrete normal forms are considered."@en . "P(IAA1187301)" . . . "1"^^ . "Amsterdam" . "fuzzy relation; disjunctive normal form; conjunctive normal form; extensional function"@en . "Normal Forms for Fuzzy Relations and their Contribution to Universal Approximation"@en . . . "RIV/61988987:17310/03:00000045!RIV/2004/AV0/173104/N" . . . . "618194" . "Normal Forms for Fuzzy Relations and their Contribution to Universal Approximation" . . . "RIV/61988987:17310/03:00000045" . "17310" . . "12"^^ . . "This paper continues the investigation of approximating properties of generalized normal forms in fuzzy logic. The problem is formalized and solved algebraically. Normal forms are considered in two variants: infinite and finite. It is proved that inf inite normal forms are universal representation formulas whereas finite normal forms are universal approximation formulas for extensional functions. The estimation of the quality of approximation is suggested. Moreover, functions which can be precis ely represented by the discrete normal forms are considered." . . . "Perfilieva, Irina" . "Intelligent Systems for Information Processing: From Representation to Applications" .