. . "Inspired by the notion of a conic semi-copula, we introduce upper conic, lower conic and biconic semi-copulas with a given section. Such semi-copulas are constructed by linear interpolation on segments connecting the graph of a strict negation operator to the points (0, 0) and/or (1, 1). The important subclasses of upper conic, lower conic and biconic (quasi-)copulas with a given section are characterized. The notion of generalized convexity turns out to play a key role in this characterization. Some examples are also provided."@en . "4"^^ . . . "J MATH ANAL APPL" . . "0022-247X" . "Inspired by the notion of a conic semi-copula, we introduce upper conic, lower conic and biconic semi-copulas with a given section. Such semi-copulas are constructed by linear interpolation on segments connecting the graph of a strict negation operator to the points (0, 0) and/or (1, 1). The important subclasses of upper conic, lower conic and biconic (quasi-)copulas with a given section are characterized. The notion of generalized convexity turns out to play a key role in this characterization. Some examples are also provided." . "1"^^ . . . . "The role of generalized convexity in conic copula constructions"@en . "Mesiar, Radko" . . . "425" . "The role of generalized convexity in conic copula constructions" . . "The role of generalized convexity in conic copula constructions"@en . "22"^^ . . . "405" . "[9400DB78AB1C]" . . "2" . "RIV/61988987:17610/15:A1501DLE" . "NL - Nizozemsko" . "De Meyer, Hans" . . . "P(ED1.1.00/02.0070)" . "Biconic copula; Conic copula; Copula; Linear interpolation; Quasi-copula; Semi-copula"@en . . "De Baets, Bernard" . "17610" . . "The role of generalized convexity in conic copula constructions" . "Jwaid, Tarad" . "RIV/61988987:17610/15:A1501DLE!RIV15-MSM-17610___" .