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Contraction and Dilation Operators in a Semilinear Space over Residuated Lattice
The notion of a semilinear space over residuated lattice is introduced. Two problems of solvability of systems of linear-like equations with sup-* or inf--> compositions are considered in a finite semilinear space....
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Linear Representation of Residuated Lattices
We reconsider the notion of semilinear space and consider it as a couple of two semimodules connected by residuated scalar multiplications. We show that under certain conditions the semigroup of endomorphisms of a semilinear
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Semiconic idempotent logic I: Structure and local deduction theorems
structures. This ordinal sum is indexed by a totally ordered residuated lattice, which characterize the totally ordered residuated lattices appearing as such skeletons. Further residuated lattices
Applied mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Algebraic Semantics: Semilinear FL-Algebras. Chapter 4
The chapter summarizes the most important results in the theory of semilinear and constructions, e.g. structure theory, axiomatization of the variety of semilinear FL completeness properties for varieties of semilinear FL-a...
BA - Obecná matematika
- 2011 •
- C
Rok uplatnění
C - Kapitola v odborné knize
Semilinear De Morgan monoids and epimorphisms
the variety of all semilinear idempotent commutative residuated lattices and all varieties of negatively generated semilinear Dunn monoids. The results settle natural questions about) semilinear, i.e., su...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Fixed points and Solvability of Systems of Fuzzy Relations
The problem of solvability of a system of fuzzy relation equations with sup-*-composition is considered in a finite semilinear space over a residuated lattice. In this setting the problem of solvability given above is simil...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Semilinear Space, Galois Connections and Fuzzy Relation Equations.
We introduce a notion of an idempotent semilinear space and consider two systems of linear-like equations. Moreover, because the two types of systems of linear-like equations are dual according to this theory, it is sufficient to investigate...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Fuzzy Relation Equations in Semilinear Spaces
We introduce a notion of an idempotent semilinear space and consider two systems of linear-like equations. These systems are equivalent to systems of fuzzy relation equations with sup-* and inf-> compositions. We show that the theory of Galo...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Densification of FL Chains via Residuated Frames
algebras (pointed residuated lattices). Our method, based on residuated frames, offers. We then prove that the semilinear varieties of integral FL algebras defined chains. We prove that the semilinear var...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Nonassociative Substructural Logics and Their Semilinear Extensions: Axiomatization and Completeness Properties
counterparts: residuated lattices. Recently, a nonassociative generalization of FL (which we call SL) has been studied by Galatos and Ono as the logic of lattice-ordered residuated unital groupoids. This paper is ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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