Results 151 to 160 of about 484,540 (192)
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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 C. Fodor +2 more
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Problems on Triangular Norms and Related Operators
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radko Mesiar +2 more
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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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Triangular Norms on Partially Ordered Sets
Fuzzy Sets and Systems, 2005In this paper, the following three methods are presented to construct triangular norms on partially ordered sets: (1) Constructing triangular norms on the poset of closed intervals. (2) Constructing triangular norms via Galois connections between bounded posets based on a categorical analysis of the construction of triangular norms on closed intervals ...
Dexue Zhang
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Supermigrative Semi-Copulas and Triangular Norms
Information Sciences, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fabrizio Durante, Roberto Ricci
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A Family of Strict and Discontinuous Triangular Norms
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Budinčević, Mirko, Kurilić, Miloš
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An answer to an open problem on triangular norms
Information Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao Ouyang, Jun Li 0014
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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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Semi-divisible triangular norms
Soft Computing, 2007Let \(\odot\) 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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Estimates for Sobolev norms of triangular mappings
Moscow University Mathematics Bulletin, 2007In 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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