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Triangular Norms with Continuous Diagonals
Some properties of triangular norms wit continuous diagonals are given.
BA - Obecná matematika
- 1999 •
- O
Rok uplatnění
O - Ostatní výsledky
Different types of continuity of triangular norms revisited
Different types of continuity of triangular norms are investigated. The types wich are stronger than the usual continuity are analytical properties and, therefore, there are representations of the corresponding
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Triangular norms. Position paper III: continuous t-norms
This last part of a series of position papers on triangular norms presents the representation of continuous Archimedean t-norms by means of additive generators, and the representation of continuous t-n...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Two methods of reconstruction of generators of continuous t-norms
and the additive generator of a continuous Archimedean triangular norm from its partial derivatives. The methods can be used for a strict triangular norm whose multiplicative generatorhas a non-zero deriv...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Explicit formulas for generators of triangular norms
The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator i...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On Generalized Mulholland Inequality and Dominance on Nilpotent Triangular Norms
The paper is focused on the generalized Mulholland inequality and its connection with the dominance relation defined on the set of continuous Archimedean triangular norms. A counter-example is provided showing that the set ...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2017 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Dominance on continuous Archimedean triangular norms and generalized Mulholland inequality
the dominance on all continuous Archimedean triangular norms in an analogous way as does Mulholland inequality on the strict triangular norms. Based on these new results of nilpotent triangular ...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Zero-reconstructible Triangular Norms as Universal Approximators
norms. This paper shows that every continuous triangular norm can be approximated generator of a strict triangular norm can be reconstructed from the first partial derivatives of the triangul...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms
The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive of theresult is demonstrated on the problem of convex combi...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Convex combinations of nilpotent triangular norms
of continuous triangular norms stated by Alsina, Frank, and Schweizer [C. Alsina, M.J. Frank combination of triangular norms can ever be a triangular norm. The main result triangular...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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