Rough analysis in lattices

Tadeusz B. Iwinski

UC3M Working papers. Economics from Universidad Carlos III de Madrid. Departamento de Economía

Abstract: An outline of an algebraie generalization of the rough set theory is presented in the paper. It is shown that the majority of the basic concepts of this theory has an immediate algebraic generalization, and that some rough set facts are true in general algebraic structures. The formalism employed is that of lattice theory. New concepts of rough order, approximation space and rough (quantitative) approximation space are introduced and investigated. It is shown that the original Pawlak's theory of rough sets and information systems is a model of this general approach.

Keywords: Information; system; Rough; set; Rough; dependenee; Rough; lattiee; Approximation; spaee (search for similar items in EconPapers)
Date: 1991-07
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Persistent link: https://EconPapers.repec.org/RePEc:cte:werepe:2810

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