2006•Unpublished venueRequires access

The Algebraic Property of Rough Sets

Wenjun Liu

Abstract

The algebraic propeties of rough sets in approximate space were discussed.The definition of rough union,rough intersection,rough complement,pseudocomplement and dual pseudocomplement on rough sets were given respectively.Furthemore,the algebraic properties of rough sets were discussed on various ways,such as being bounded,distributive and atomic lattices,semsimple Neslon algebra,double Stone algebra,even Lukasiewicz trivaluent algebra.

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Key concepts: Mathematics, Rough set, Dual (grammatical number), Algebra over a field, Intersection (aeronautics), Algebraic properties, Distributive property, Algebraic number