(Enter summary)
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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BibTeX entry: (Update)
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
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Representation of associative functions (context) - Ling - 1965
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a class of associative functions (context) - Kimberling - 1973
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norms on some diagonal segments (context) - B'ezivin, Tom'as - 1993
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Manuscript in preparation (context) - Klement, Mesiar et al.
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