International Journal of Computational Intelligence Systems

Volume 5, Issue 6, November 2012, Pages 1010 - 1024

Local and Global Measurements of MGRS Rules

Authors
Xibei Yang, Yanqin Zhang, Jingyu Yang
Corresponding Author
Xibei Yang
Received 14 February 2012, Accepted 10 August 2012, Available Online 1 November 2012.
DOI
10.1080/18756891.2012.747655How to use a DOI?
Keywords
Certainty factor, coverage factor, decision rule, multigranulation rough set, support factor
Abstract

Since the multigranulation rough sets (MGRS) can be considered as the compositions of multi–independent Pawlak's rough sets, the multigranulation rough set rules (MGRS rules) are then the compositions of decision rules, which are supported by multi–independent Pawlak's rough sets. To measure MGRS rules, both the local and global views are employed in this paper. In local view, the support, certainty and coverage factors are proposed to measure MGRS rules, which are support by an object; while in global view, these three factors are proposed to measure MGRS rules, which are coexisting in a decision system. The necessary conditions for these factors to achieve maximal and minimal values are also addressed. Some numerical examples are employed to substantiate the conceptual arguments.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
5 - 6
Pages
1010 - 1024
Publication Date
2012/11/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2012.747655How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Xibei Yang
AU  - Yanqin Zhang
AU  - Jingyu Yang
PY  - 2012
DA  - 2012/11/01
TI  - Local and Global Measurements of MGRS Rules
JO  - International Journal of Computational Intelligence Systems
SP  - 1010
EP  - 1024
VL  - 5
IS  - 6
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2012.747655
DO  - 10.1080/18756891.2012.747655
ID  - Yang2012
ER  -