. "Normal Forms in BL-algebra of functions and their contribution to universal approximation" . . "NL - Nizozemsko" . "[5615D24A40E7]" . "RIV/61988987:17310/04:00000016" . "P(IAA1187301), Z(MSM 179000002)" . "111-127" . "Fuzzy Sets and Systems" . "BL-algebra, fuzzy logic functions;; disjunctive normal form;; conjunctive normal form; universal approximation"@en . "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 any $L$-valued function where $L$ is a support set of any complete BL-algebra. The estimation of the quality of approximati on is suggested. Moreover, functions which can be precisely represented by the discrete normal forms are considered." . . . "1"^^ . "0"^^ . "1"^^ . . "0"^^ . . . . "Normal Forms in BL-algebra of functions and their contribution to universal approximation"@en . "Normal Forms in BL-algebra of functions and their contribution to universal approximation" . "17"^^ . . . . "Normal Forms in BL-algebra of functions and their contribution to universal approximation"@en . . . . . . "Duben" . "Perfilieva, Irina" . "143" . "RIV/61988987:17310/04:00000016!RIV/2004/AV0/173104/N" . . "17310" . "576441" . "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 any $L$-valued function where $L$ is a support set of any complete BL-algebra. The estimation of the quality of approximati on is suggested. Moreover, functions which can be precisely represented by the discrete normal forms are considered."@en . "0165-0114" . . .