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• W1934505817 abstract "The non–equational notion of abstract approximation space for roughness theory is introduced, and its relationship with the equational definition of lattice with Tarski interior and closure operations is studied. Their categorical isomorphism is proved, and the role of the Tarski interior and closure with an algebraic semantic of a S4–like model of modal logic is widely investigated. A hierarchy of three particular models of this approach to roughness based on a concrete universe is described, listed from the stronger model to the weaker one: (1) the partition spaces, (2) the topological spaces by open basis, and (3) the covering spaces." @default.
• W1934505817 created "2016-06-24" @default.
• W1934505817 creator A5068831857 @default.
• W1934505817 creator A5075449623 @default.
• W1934505817 date "2009-01-01" @default.
• W1934505817 modified "2023-10-16" @default.
• W1934505817 title "Lattices with Interior and Closure Operators and Abstract Approximation Spaces" @default.
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• W1934505817 doi "https://doi.org/10.1007/978-3-642-03281-3_3" @default.
• W1934505817 hasPublicationYear "2009" @default.
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