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Triangular norms on product lattices

Fuzzy Sets and Systems, 1999
The 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, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Diagonals of continuous triangular norms

Fuzzy Sets and Systems, 1999
Diagonals 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.
Mesiar, Radko, Navara, Mirko
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Semi-divisible triangular norms

Soft Computing, 2007
Let \(\odot\) be a left-continuous t-norm, \(\rightarrow\) the corresponding residuum, and \(n\) the corresponding residual negation; then \(\odot\) is called semi-divisible [\textit{E. Turunen} and \textit{J. Mertanen}, Soft Comput. 12, No.~4, 353--357 (2008; Zbl 1138.06006)] if \((a \rightarrow b) \rightarrow b = (b \rightarrow a) \rightarrow a ...
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Triangular norm-based mathematical fuzzy logics

2005
We consider particular classes of infinite-valued propositional logics which are strongly related to t-norms as conjunction connectives and to the real unit interval as set of their truth degrees.
Gottwald, S., Hájek, P. (Petr)
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Triangular Norm-Based Tribes

1993
The class of cooperative games, which is the main topic of this book and which we shall investigate in detail in chapters IV — VI, consists of games with fuzzy coalitions. In such coalitions players are allowed to belong in a gradual way (as opposed to the yes/no alternative in classical models of games in characteristic function form, as described by ...
Dan Butnariu, Erich Peter Klement
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A triangular norm hierarchy

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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Estimates for Sobolev norms of triangular mappings

Moscow University Mathematics Bulletin, 2007
In the paper an increasing triangular mapping \(T\) is considered on \(n\)-dimensional cube \(\Omega = [0,1]^n\) which brings the measure \(\mu\) into the measure \(\nu\), where \(\mu\) and \(\nu\) are absolutely continuous Borel probability measures with densities \(\rho_\mu\) and \(\rho_\nu\).
Zhdanov, R. I., Ovsienko, Yu. V.
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Triangular norm based fuzzy $$BG$$ B G -algebras

Afrika Matematika, 2015
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Senapati, Tapan   +2 more
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On pseudo-homogeneous triangular norms, triangular conorms and proper uninorms

Fuzzy Sets and Systems, 2016
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Xie, Aifang, Su, Yong, Liu, Huawen
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