Title
Set-theoretic Approaches to Granular Computing
Abstract
A framework is proposed for studying a particular class of set-theoretic approaches to granular computing. A granule is a subset of a universal set, a granular structure is a family of subsets of the universal set, and relationship between granules is given by the standard set-inclusion relation. By imposing different conditions on the family of subsets, we can define several types of granular structures. A number of studies, including rough set analysis, formal concept analysis and knowledge spaces, adopt specific models of granular structures. The proposed framework therefore provides a common ground for unifying these studies. The notion of approximations is examined based on granular structures.
Year
DOI
Venue
2012
10.3233/FI-2012-653
Fundam. Inform.
Keywords
Field
DocType
particular class,different condition,rough set analysis,proposed framework,granular structure,granular computing,formal concept analysis,set-theoretic approaches,common ground,knowledge space,universal set
Discrete mathematics,Family of sets,Combinatorics,Computer science,Rough set,Granular computing,Common ground,Formal concept analysis,Universal set
Journal
Volume
Issue
ISSN
115
2-3
0169-2968
Citations 
PageRank 
References 
20
0.66
22
Authors
4
Name
Order
Citations
PageRank
Y. Y. Yao19707674.28
Nan Zhang2774.39
Duoqian Miao31854119.26
Feifei Xu4765.25