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Order-equivalent triangular norms
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kesicioğlu, M. Nesibe +2 more
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Cross-migrative triangular norms
International Journal of Intelligent Systems, 2012We study the cross-migrativity of triangular norms. The classes of continuous triangular norms, which are cross-migrative with respect to some strict or nilpotent triangular norm, respectively, are completely characterized, as well as those which are cross-migrative with respect to the greatest and smallest triangular norms, respectively.
János Fodor +2 more
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On reversible triangular norms
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fodor, János, Jenei, Sándor
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On continuous triangular norms
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jenei, Sándor, Fodor, János C.
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2003
In this chapter, we study the relationships between discrete t-norms, i.e. t-norms on a finite chain, and t-norms on the unit interval. Firstly, we investigate when and how a discrete t-norm can be extended to a (continuous) t-norm on the unit interval.
Bernard De Baets, Radko Mesiar
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In this chapter, we study the relationships between discrete t-norms, i.e. t-norms on a finite chain, and t-norms on the unit interval. Firstly, we investigate when and how a discrete t-norm can be extended to a (continuous) t-norm on the unit interval.
Bernard De Baets, Radko Mesiar
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Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Information Sciences, 2009
A triangular norm \(T\) (a non-decreasing commutative associative binary operation on \([0,1]\) with neutral element \(e= 1\)) is extended to act on fuzzy truth values (special fuzzy subsets of \([0,1]\)) based on a (possibly different) t-norm \(T_*\).
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A triangular norm \(T\) (a non-decreasing commutative associative binary operation on \([0,1]\) with neutral element \(e= 1\)) is extended to act on fuzzy truth values (special fuzzy subsets of \([0,1]\)) based on a (possibly different) t-norm \(T_*\).
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On the order of triangular norms—comments on “A triangular norm hierarchy” by E. Cretu
Fuzzy Sets and Systems, 2002The authors present a critical overview of \textit{E. Cretu}'s paper ``A triangular norm hierarchy'' [Fuzzy Sets Syst. 120, 371-383 (2001; Zbl 0982.03014)]. They make it evident that the results on the order of t-norms (as real functions) presented by Cretu can be found in previous sources and, in a compact form, in their book [Triangular norms ...
Klement, Erich Peter +2 more
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Triangular norms on product lattices
Fuzzy Sets and Systems, 1999The original concept of a triangular norm (t-norm) has been introduced by Schweizer and Sklar as associative, commutative, monotone \([0,1]^2- [0,1]\) mappings satisfying the boundary condition \((\forall x\in[0,1])\) \((T(x,1)= x)\). Many authors have extended this notion to arbitrary bounded partially ordered sets.
De Baets, Bernard, Mesiar, Radko
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On Archimedean triangular norms
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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