Paper Info
Title
An Investigation About Rough Set Theory: Some Foundational and Mathematical Aspects
Abstract
The approach to rough set theory is investigated from the foundational point of view, starting from the formal analysis of the mathematical structures generated by equivalence relations (the standard Pawlak approach to complete information systems) and then by tolerance or similarity relations (the approach to roughness by incomplete information systems). Making use of these approaches the “minimal” meta-theoretical principles which allow one to treat approximations in rough set theory are discussed and formulated in explicit way, in particular the conditions which can assure what can be rightly considered as lower and upper approximations of some approximable set. The hierarchy of approximation spaces generated in this way on a universe is then discussed.
Year
DOI
Venue
2011
10.3233/FI-2011-420
Fundam. Inform.
Keywords
Field
DocType
rough set theory,mathematical structure,equivalence relation,information system,incomplete information system,foundational point,standard pawlak approach,mathematical aspects,approximation space,formal analysis,approximable set
Incomplete information system,Discrete mathematics,Equivalence relation,Algebra,Mathematical structure,Approximations of π,Rough set,Universe,Hierarchy,Mathematics,Complete information
Journal
Volume
Issue
ISSN
108
3-4
0169-2968
Citations 
PageRank 
References 
10
0.50
15
Authors
1
Name
Order
Citations
PageRank
Gianpiero Cattaneo156658.22