Journal of Computer Science

Topologies Induced by Relations with Applications

A. S. Salama

DOI : 10.3844/jcssp.2008.877.887

Journal of Computer Science

Volume 4, Issue 10

Pages 877-887


Some methods for inducing topological structures by relations were initiated and their importance in applications were indicated. Topologies generated by equivalence relations were all quasi-discrete spaces. We induced the topologies generated using similarity relations and pre-order relations. Also, the topologies generated using general binary relations on the universe of discourse were initiated. Finally, rheumatic fever data reduction using topologies induced by relations were studied.


© 2008 A. S. Salama. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.