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  • 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.
  • 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)
Title
  • The role of generalized convexity in conic copula constructions
  • The role of generalized convexity in conic copula constructions (en)
skos:prefLabel
  • The role of generalized convexity in conic copula constructions
  • The role of generalized convexity in conic copula constructions (en)
skos:notation
  • RIV/61988987:17610/15:A1501DLE!RIV15-MSM-17610___
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  • P(ED1.1.00/02.0070)
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  • 2
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  • 405
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  • RIV/61988987:17610/15:A1501DLE
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  • Biconic copula; Conic copula; Copula; Linear interpolation; Quasi-copula; Semi-copula (en)
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  • NL - Nizozemsko
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  • [9400DB78AB1C]
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  • J MATH ANAL APPL
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  • 425
http://linked.open...iv/tvurceVysledku
  • Mesiar, Radko
  • De Baets, Bernard
  • De Meyer, Hans
  • Jwaid, Tarad
issn
  • 0022-247X
number of pages
http://localhost/t...ganizacniJednotka
  • 17610
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