Result: On the combination of rough set theory and grey theory based on grey lattice operations

Title:
On the combination of rough set theory and grey theory based on grey lattice operations
Source:
Rough sets and current trends in computing (5th International conference, RSCTC 2006, Kobe, Japan, November 6-8, 2006)Lecture notes in computer science. :507-516
Publisher Information:
Berlin; Heidelberg; New York: Springer, 2006.
Publication Year:
2006
Physical Description:
print, 27 ref 1
Original Material:
INIST-CNRS
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Graduate School of Kanagawa University, Department of Engineering, 3-27-1 Rokkakubashi, Kanagawa-ku, Yokohama 221-8686, Japan
Kanagawa University, Faculty of Engineering, 3-27-1 Rokkakubashi, Kanagawa-ku, Yokohama 221-8686, Japan
ISSN:
0302-9743
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.19078888
Database:
PASCAL Archive

Further Information

A new rough set named grey-rough set based on the grey lattice operation in grey system theory is proposed in this paper. Information systems records not only categorical data but also numerical data including a range of interval. In order to handle interval data in such information systems, we describe two sorts of new rough approximation after introduced grey lattice operations: a special grey-rough set based on the equivalence relation of interval coincidence, and a general grey-rough set based on the meet operation and the inclusion relation instead of the equivalence relation. The special grey-rough set is applicable to categorical data and numerical discrete data like the traditional rough set. The general grey-rough set is applicable to numerical interval data, which means that the proposal is an advanced method for non-deterministic information systems. The proposal is illustrated with several examples.