This paper proposes a generalized definition of rough set approximations, based on a subsystem of subsets of a universe. Thesubsystem is not assumed to be closed under set complement, union and intersection. The lower or upper approximation is nolonger one set but composed of several sets. As special cases, approximations in formal concept analysis and knowledge spacesare examined. The results provide a better understanding of rough set approximations.
%0 Journal Article
%1 xu08fca
%A Xu, Feifei
%A Yao, Yiyu
%A Miao, Duoqian
%D 2008
%J Foundations of Intelligent Systems
%K research.mining research.conceptual.graphs science.math
%P 319--328
%T Rough Set Approximations in Formal Concept Analysis and Knowledge Spaces
%U http://dx.doi.org/10.1007/978-3-540-68123-6_35
%X This paper proposes a generalized definition of rough set approximations, based on a subsystem of subsets of a universe. Thesubsystem is not assumed to be closed under set complement, union and intersection. The lower or upper approximation is nolonger one set but composed of several sets. As special cases, approximations in formal concept analysis and knowledge spacesare examined. The results provide a better understanding of rough set approximations.
@article{xu08fca,
abstract = {This paper proposes a generalized definition of rough set approximations, based on a subsystem of subsets of a universe. Thesubsystem is not assumed to be closed under set complement, union and intersection. The lower or upper approximation is nolonger one set but composed of several sets. As special cases, approximations in formal concept analysis and knowledge spacesare examined. The results provide a better understanding of rough set approximations.},
added-at = {2010-10-07T11:10:05.000+0200},
author = {Xu, Feifei and Yao, Yiyu and Miao, Duoqian},
biburl = {https://www.bibsonomy.org/bibtex/22d72f27fd9a629b37d6f11d8c8b56e7b/msn},
description = {SpringerLink - Book Chapter},
interhash = {a56228dc5eebf4fa5d4fa3cc000b561e},
intrahash = {2d72f27fd9a629b37d6f11d8c8b56e7b},
journal = {Foundations of Intelligent Systems},
keywords = {research.mining research.conceptual.graphs science.math},
pages = {319--328},
timestamp = {2010-10-07T11:10:05.000+0200},
title = {Rough Set Approximations in Formal Concept Analysis and Knowledge Spaces},
url = {http://dx.doi.org/10.1007/978-3-540-68123-6_35},
year = 2008
}