6533b85bfe1ef96bd12bbd77
RESEARCH PRODUCT
Extensions and intentions in the rough set theory
Edward BryniarskiUrszula Wybraniec-skardowskaZbigniew Bonikowskisubject
Discrete mathematicsInformation Systems and ManagementApproximations of πDominance-based rough set approachIntensionExtension (predicate logic)Computer Science ApplicationsTheoretical Computer ScienceAlgebraArtificial IntelligenceControl and Systems EngineeringApproximation operatorsRough setDoctoral dissertationSoftwareUpper approximationMathematicsdescription
Abstract The approach to rough set theory proposed in this paper is based on the mutual correspondence of the concepts of extension and intension. It is different from the well-known approaches in the literature in that the upper approximations and the lower approximations of ‘unknown’ sets are considered as certain families of ‘known’ sets. This approach makes it possible to formulate necessary and sufficient conditions for the existence of operations on rough sets, which are analogous to classical operations on sets. The basic results presented in this paper, based on certain ideas of the second author, were formulated by the first author in his doctoral dissertation prepared under the supervision of the third author.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-06-01 | Information Sciences |