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Diagonals of Continuous Triangular Norms (1999)  (Make Corrections)  (1 citation)
Radko Mesiar, Mirko Navara



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Abstract: Diagonals of continuous t-norms are studied. The characterization of all functions being diagonals of continuous t-norms is given. To a given diagonal, the class of all continuous t-norms with this diagonal is characterized. Keywords: Triangular norm, additive generator, diagonal. 1 Introduction A triangular norm (a t-norm for short) is a commutative, associative, non-decreasing function T : [0; 1] 2 ! [0; 1] such that T (x; 1) = x for all x 2 [0; 1]. In what follows, we deal only with... (Update)

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Mesiar, R., Navara, M.: Diagonals of continuous triangular norms. Fuzzy Sets and Systems 104 (1999), 34-41. http://citeseer.ist.psu.edu/mesiar99diagonals.html   More

@misc{ mesiar99diagonals,
  author = "R. Mesiar and M. Navara",
  title = "Diagonals of continuous triangular norms",
  text = "Mesiar, R., Navara, M.: Diagonals of continuous triangular norms. Fuzzy
    Sets and Systems 104 (1999), 34-41.",
  year = "1999",
  url = "citeseer.ist.psu.edu/mesiar99diagonals.html" }
Citations (may not include all citations):
65   Probabilistic Metric Spaces (context) - Schweizer, Sklar - 1983
25   Representation of associative functions (context) - Ling - 1965
3   Uber logische Aggregationen nicht-binar explizierter Entsche.. (context) - Hamacher - 1978
3   Fuzzy Sets Syst (context) - Mayor, Torrens et al. - 1991
1   a class of associative functions (context) - Kimberling - 1973
1   norms on some diagonal segments (context) - B'ezivin, Tom'as - 1993
1   Manuscript in preparation (context) - Klement, Mesiar et al.

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