Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)

On the Rough Approximation of Non-Convex Set

Authors
Fang'an Deng1, Tao Zhou, Yang Xu
1Department of Mathematics, Shanxi University of Technology
Corresponding Author
Fang'an Deng
Available Online October 2007.
DOI
https://doi.org/10.2991/iske.2007.271How to use a DOI?
Keywords
convex set; non-convex set; rough approximation
Abstract

In this article, we have established the concept of the upper and the lower approximation of nonconvex set. Meantime, the properties of rough approximation of non-convex set have been investigated. As we know, every non-convex set can be approached by the upper and lower approximation convex set with respect to a given direct. Finally, the relationship between the shadow of u and u¡ direction of the rough approximation sets have been given

Copyright
© 2007, 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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Volume Title
Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
Series
Advances in Intelligent Systems Research
Publication Date
October 2007
ISBN
978-90-78677-04-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/iske.2007.271How to use a DOI?
Copyright
© 2007, 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  - CONF
AU  - Fang'an Deng
AU  - Tao Zhou
AU  - Yang Xu
PY  - 2007/10
DA  - 2007/10
TI  - On the Rough Approximation of Non-Convex Set
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 1586
EP  - 1588
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.271
DO  - https://doi.org/10.2991/iske.2007.271
ID  - Deng2007/10
ER  -