IJPAM: Volume 39, No. 1 (2007)


A.M. Kozae$^1$, A.A. Abo Khadra$^2$, T. Medhat$^3$
$^1$Department of Mathematics
Faculty of Science
Tanta University
Tanta, 31527, EGYPT
e-mail: akozae55@yahoo.com
$^{2,3}$Department of Physics and Engineering Mathematics
Faculty of Engineering
Tanta University
Tanta, 31521, EGYPT
$^2$e-mail: aaabokhadra@yahoo.com
$^3$e-mail: tmedhatm@yahoo.com

Abstract.Information granulation is very essential to human problem solving, and hence has a significant impact on the design and implementation of intelligent systems. Most granulation methods did not go deep in using topological structure. In this work, we aim to use general topological structures as tools for decision making in multi-valued information systems ``MVIS". General relations are used to get granules that form subbase for topologies. These topologies are applied for obtaining discernibility matrix and reducts. The suggested topological structures open up the way for applying rich amount of topological facts and methods in the process of granular computing.

Received: April 27, 2007

AMS Subject Classification: 58D29

Key Words and Phrases: rough set, topological structure, discernibility matrix, discernibility function, reducts and decision making

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 1