Lattices with Interior and Closure Operators and Abstract Approximation Spaces

DOI10.1007/978-3-642-03281-3_3zbMath1248.06005OpenAlexW1934505817MaRDI QIDQ3393391

Davide Ciucci, Gianpiero Cattaneo

Publication date: 20 August 2009

Published in: Transactions on Rough Sets X (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-03281-3_3

Mathematics Subject Classification ID

Modal logic (including the logic of norms) (03B45) Reasoning under uncertainty in the context of artificial intelligence (68T37) Other algebras related to logic (03G25) Generalizations of lattices (06B75)

Related Items (19)

Dialectical Rough Sets, Parthood and Figures of Opposition-I ⋮ Notions from rough set theory in a generalized dependency relation context ⋮ Rough sets on graphs: New dependency and accuracy measures ⋮ Rough sets and matroids from a lattice-theoretic viewpoint ⋮ Dependency structures for decision tables ⋮ Modal multilattice logic ⋮ Relative annihilators in bounded commutative residuated lattices ⋮ \(\mathcal{L}\)-fuzzy annihilators in residuated lattices ⋮ Algebraic models of deviant modal operators based on De Morgan and Kleene lattices ⋮ Matroidal approaches to rough sets via closure operators ⋮ Decision systems in rough set theory: A set operatorial perspective ⋮ Algebraic Methods for Rough Approximation Spaces by Lattice Interior–Closure Operations ⋮ Algebraic Methods for Granular Rough Sets ⋮ Algebraic Representation, Dualities and Beyond ⋮ Abstract Concept Lattices ⋮ Generalized Rough Sets and Implication Lattices ⋮ Approximation via a double-matroid structure ⋮ Two proofs of the algebraic completeness theorem for multilattice logic ⋮ Modal multilattice logics with Tarski, Kuratowski, and Halmos operators

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