Topologies Induced by Relations with Applications

A.S. Salama · Journal of Computer Science · 2008

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.

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