On the Rough Approximation of Non-Convex Set
Fang'an Deng1, Tao Zhou, Yang Xu
1Department of Mathematics, Shanxi University of Technology
Available Online October 2007.
- 10.2991/iske.2007.271How to use a DOI?
- convex set; non-convex set; rough approximation
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
- © 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 - 10.2991/iske.2007.271 ID - Deng2007/10 ER -