Filtry
A note on simplification of z-ordinal sum construction
We study the properties of z-ordinal sum construction and show that it can always be expressed in the reduced basic form. This means that it is enough to assume only trivial semigroups in the branching set and we can always...
Applied mathematics
- 2022 •
- Jimp •
- Odkaz
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Jimp - Článek v periodiku v databázi Web of Science
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On the monotonicity of functions constructed via z-ordinal sum construction
which is constructed via z-ordinal sum construction with respect to a finite via z-ordinal sum to be monotone in the case when the intermediate condition of functions defined on the unit interval...
Applied mathematics
- 2023 •
- Jimp •
- Odkaz
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Jimp - Článek v periodiku v databázi Web of Science
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On the monotonicity of functions constructed via the ordinal sum construction
and sufficient conditions for a function constructed via z-ordinal sum to be monotone)-ordinal sum is discussed. In Part I of this two-part paper we characterize all non ordinal sum of s...
Applied mathematics
- 2023 •
- Jimp •
- Odkaz
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Jimp - Článek v periodiku v databázi Web of Science
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Commutative, associative and non-decreasing functions continuous around diagonal
We characterize all functions that can be obtained as a z-ordinal sum of semigroups related to continuous t-norms, t-conorms, representable uninorms and idempotent semigroups. We show that this class of functions is bigger ...
Applied mathematics
- 2022 •
- Jimp •
- Odkaz
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Ordinal sums and idempotents of copulas
We prove that the ordinal sum of n-copulas is always an n-copula and show that every copula may be represented as an ordinal sum, once the set of its idempotent elements is known....
BA - Obecná matematika
- 2010 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on ordinal sums of t-norms on bounded lattices
Triangular norms on bounded lattices as ordinal sums are studied. A substantial role of horizontal sums is shown.
BA - Obecná matematika
- 2005 •
- A
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A - Audiovizuální tvorba
A note on ordinal sums of t-norms on bounded lattices
Triangular norms on bounded lattices as ordinal sums are studied. A substantial role of horizontal sums is shown.
BA - Obecná matematika
- 2005 •
- D
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D - Stať ve sborníku
Ordinal sum constructions for aggregation functions on the real unit interval
We discuss ordinal sums as one of powerful tools in the aggregation theory with ordinal sums, in particular dealing, e.g., with continuous t-norms, copulas, or recent of the considered index sets in ordinal
Pure mathematics
- 2022 •
- Jimp •
- Odkaz
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Jimp - Článek v periodiku v databázi Web of Science
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On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms
This paper introduces two fundamental types of ordinal sum constructions for po of the po-monoids. Both ordinal sums of po-monoids are generalized with the help known constructions of ordinal sums...
Pure mathematics
- 2022 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms
This paper introduces two fundamental types of ordinal sum constructions for po of the po-monoids. Both ordinal sums of po-monoids are generalized with the help known constructions of ordinal sums...
Pure mathematics
- 2022 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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