Representation of Nelson algebras by rough sets determined by quasiorders

DOI10.1007/s00012-011-0149-9zbMath1226.06002arXiv1007.1199OpenAlexW3100474991MaRDI QIDQ647309

Jouni Järvinen, Sándor Radeleczki

Publication date: 23 November 2011

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1199

zbMATH Keywords

rough setquasiorderalgebraic latticeŁukasiewicz algebraNelson algebra

Mathematics Subject Classification ID

Representation theory of lattices (06B15) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30)

Related Items (15)

Kleene algebras and logic: Boolean and rough set representations, 3-valued, rough set and perp semantics ⋮ REPRESENTING REGULAR PSEUDOCOMPLEMENTED KLEENE ALGEBRAS BY TOLERANCE-BASED ROUGH SETS ⋮ Information completeness in Nelson algebras of rough sets induced by quasiorders ⋮ Paraconsistent constructive logic with strong negation as a contraction-free relevant logic ⋮ A method of representing rough sets system determined by quasi orders ⋮ Pseudo-Kleene algebras determined by rough sets ⋮ Rough sets determined by tolerances ⋮ Algebraic Methods for Granular Rough Sets ⋮ Algebraic Representation, Dualities and Beyond ⋮ Rough Sets - Past, Present and Future: Some Notes ⋮ Defining rough sets as core-support pairs of three-valued functions ⋮ Modal systems for covering semantics and boundary operator ⋮ On the union and intersection operations of rough sets based on various approximation spaces ⋮ Axiomatic approaches to rough approximation operators via ideal on a complete completely distributive lattice ⋮ Rough \(L\)-fuzzy sets: their representation and related structures

Cites Work

• A geometry of approximation. Rough set theory: logic, algebra and topology of conceptual patterns.
• Fixed points in finite De Morgan algebras
• Rough sets determined by quasiorders
• The class of Kleene algebras satisfying an interpolation property and Nelson algebras
• An algebraic approach to non-classical logics
• Notes on \(\eta\)-lattices and constructive logic with strong negation
• Lattice Theory for Rough Sets
• Rough sets
• Rough Sets and Current Trends in Computing
• The Algebras of Łukasiewicz Many-Valued Logic: A Historical Overview
• Caracterisation des algèbres de Nelson par des egalités, I
• Incomplete information: Structure, inference, complexity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Representation of Nelson algebras by rough sets determined by quasiorders