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Algebraic Structures of Rough Sets in Representative Approximation Spaces
Zbigniew Bonikowskisubject
Discrete mathematicsGeneral Computer ScienceAlgebraic structureRough setsSpace (mathematics)representative approximation spaceTheoretical Computer ScienceSet (abstract data type)Ordered pairalgebra of rough sets.Rough setapproximation operationsMathematicsComputer Science(all)description
Abstract In this paper a generalized notion of an approximation space is considered. By an approximation space we mean an ordered pair (U, C ), where U is a finite nonempty set and C is a covering of U. According to connections between rough sets and concepts we define two types of approximation operations. Hence we obtain two families of rough sets. We show that these families form lattices in special types of representative approximation spaces. The operations on rough sets defined in the above lattices are analogous to classical operations on sets.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-03-01 | Electronic Notes in Theoretical Computer Science |