Open Access
Translator Disclaimer
2014 On the Connectivity of Wireless Network Systems and an Application in Teacher-Student Interactive Platforms
Xun Ge
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/271964

Abstract

A wireless network system is a pair (U;B), where B is a family of some base stations and U is a set of their users. To investigate the connectivity of wireless network systems, this paper takes covering approximation spaces as mathematical models of wireless network systems. With the help of covering approximation operators, this paper characterizes the connectivity of covering approximation spaces by their definable subsets. Furthermore, it is obtained that a wireless network system is connected if and only if the relevant covering approximation space has no nonempty definable proper subset. As an application of this result, the connectivity of a teacher-student interactive platform is discussed, which is established in the School of Mathematical Sciences of Soochow University. This application further demonstrates the usefulness of rough set theory in pedagogy and makes it possible to research education by logical methods and mathematical methods.

Citation

Download Citation

Xun Ge. "On the Connectivity of Wireless Network Systems and an Application in Teacher-Student Interactive Platforms." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/271964

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131467
Digital Object Identifier: 10.1155/2014/271964

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
6 PAGES


SHARE
Vol.2014 • 2014
Back to Top