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Generalized ordinal sum constructions of t-norms on bounded lattices
In this contribution, we propose an ordinal sum construction of t-norms on bounded lattices from a system of lattices endowed by t-norms whose index set forms a bounded lattice. The ordinal sum constructio...
Pure mathematics
- 2020 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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A note on ordinal sums of t=norms and t=subnorms on bounded lattices
Ordinal sum t-norms on bounded lattices are discussed. The summand carriers are assumed to be subintervals of the bounded lattice and the summand operations are triangular (sub)norms....
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
A polynomial representation pf bounded lattices with an antitone involution
We show that any bounded lattice with an antitone involution can be represented by a given set of binary polynomials where the operations are certain compositions of functions......
BA - Obecná matematika
- 2010 •
- O
Rok uplatnění
O - Ostatní výsledky
On generating uninorms on some special classes of bounded lattices
conorms (t-conorms) on an arbitrary bounded lattice always exist, we present two new constructions of uninorms on an arbitrary bounded lattice L with an additional constraint of uninorms on bounded la...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Bounded lattices with antitone involutions and properties of MV-algebras
There are studied the properties of the bounded lattices with antitone involutions and their conections with MV-algebras.
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Horizontal sums of bounded lattices
We characterize horizontal sums of bounded chains or of Boolean algebras...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On minimal residuated bounded mappings in atomistic lattices
Relationship between automorphisms and residuated bounded mappings in atomistic lattices is studied.
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On extensions of triangular 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
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Aggregation functions on bounded lattices
of aggregation functions on bounded lattices.In this paper, we show that the set of all n-ary aggregation functions on a complete lattice L is a complete lattice and we study some properties of this lattice
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the construction of uninorms on bounded lattices
Recently, construction methods for uninorms on bounded lattices have been uninorms on an appropriate bounded lattice with a fixed neutral element e, which of triangular norms and triangular conorms on bounded
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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