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OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS

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Abstract
In this paper, we study opposite diagonal sections of quasi-copulas and copulas. The best-possible upper bound for the set of copulas with a given opposite diagonal section being known, we focus on the best-possible lower bound, which in general is a quasi-copula. Moreover, it exhibits an interesting type of bivariate symmetry called opposite symmetry.
Keywords
DEPENDENCE, 1-LIPSCHITZ AGGREGATION OPERATORS, SEMILINEAR COPULAS

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Citation

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Chicago
De Baets, Bernard, Hans De Meyer, and Manuel Ubeda-Flores. 2009. “Opposite Diagonal Sections of Quasi-copulas and Copulas.” International Journal of Uncertainty Fuzziness and Knowledge-based Systems 17 (4): 481–490.
APA
De Baets, B., De Meyer, H., & Ubeda-Flores, M. (2009). OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 17(4), 481–490.
Vancouver
1.
De Baets B, De Meyer H, Ubeda-Flores M. OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD; 2009;17(4):481–90.
MLA
De Baets, Bernard, Hans De Meyer, and Manuel Ubeda-Flores. “Opposite Diagonal Sections of Quasi-copulas and Copulas.” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 17.4 (2009): 481–490. Print.
@article{783907,
  abstract     = {In this paper, we study opposite diagonal sections of quasi-copulas and copulas. The best-possible upper bound for the set of copulas with a given opposite diagonal section being known, we focus on the best-possible lower bound, which in general is a quasi-copula. Moreover, it exhibits an interesting type of bivariate symmetry called opposite symmetry.},
  author       = {De Baets, Bernard and De Meyer, Hans and Ubeda-Flores, Manuel},
  issn         = {0218-4885},
  journal      = {INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS},
  language     = {eng},
  number       = {4},
  pages        = {481--490},
  publisher    = {WORLD SCIENTIFIC PUBL CO PTE LTD},
  title        = {OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS},
  url          = {http://dx.doi.org/10.1142/S0218488509006108},
  volume       = {17},
  year         = {2009},
}

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