Results 141 to 150 of about 484,540 (192)
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2007 4th International Symposium on Applied Computational Intelligence and Informatics, 2007
In this paper we completely describe all continuous migrative triangular norms. Since the migrative property excludes both idempotent and nilpotent classes, the characterization and construction is carried out by solving a functional equation for additive generators of strict t-norms.
János C. Fodor, Imre J. Rudas
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In this paper we completely describe all continuous migrative triangular norms. Since the migrative property excludes both idempotent and nilpotent classes, the characterization and construction is carried out by solving a functional equation for additive generators of strict t-norms.
János C. Fodor, Imre J. Rudas
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On a new classification of triangular norms
Fuzzy Sets and Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radko Mesiar +2 more
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On Continuous Triangular Norms That Are Migrative
Fuzzy Sets and Systems, 2007A triangular norm (t-norm for short) \(T\colon [0,1]^2\to [0,1]\) is said to be \(\alpha\)-migrative, for some \(\alpha\) in \(]0,1[\), if \(T(\alpha x,y)=T(x,\alpha y)\) for all \(x,y\) in \([0,1]\). In this paper, the authors investigate the class of all continuous t-norms that are \(\alpha\)-migrative for some \(\alpha\) in \(]0,1[\), and, in ...
exaly +3 more sources
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 ...
Erich-Peter Klement +2 more
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Fuzzy Sets and Systems, 2001
The author studies two questions. First, he asks when two triangular norms are comparable as real functions. These results can now be found in the book: \textit{E. P. Klement}, \textit{R. Mesiar} and \textit{E. Pap}, Triangular norms, Kluwer, Dordrecht (2000; Zbl 0972.03002), Ex.~3.32 and Chapter~6.
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The author studies two questions. First, he asks when two triangular norms are comparable as real functions. These results can now be found in the book: \textit{E. P. Klement}, \textit{R. Mesiar} and \textit{E. Pap}, Triangular norms, Kluwer, Dordrecht (2000; Zbl 0972.03002), Ex.~3.32 and Chapter~6.
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Diagonals of continuous triangular norms
Fuzzy Sets and Systems, 1999Diagonals of continuous t-norms are investigated. Attention is paid to diagonals of nilpotent and Archimedian t-norms. The diagonals of general continuous t-norms are characterized.
Radko Mesiar, Mirko Navara
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Order-equivalent triangular norms
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Nesibe Kesicioglu +2 more
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A note on the continuity of triangular norms
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiqiang Shen, Dexue Zhang
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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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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.
Bernard De Baets, Radko Mesiar
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