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    Topological and algebraic characterization of coverings sets obtained in rough sets discretization and attribute reduction algorithms

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    Abstract. A systematic study on approximation operators in covering based rough sets and some relations with relation based rough sets are presented. Two different frameworks of approximation operators in covering based rough sets were unified in a general framework of dual pairs. This work establishes some relationships between the most important generalization of rough set theory: Covering based and relation based rough sets. A structured genetic algorithm to discretize, to find reducts and to select approximation operators for classification problems is presented.Se presenta un estudio sistem谩tico de los diferentes operadores de aproximaci贸n en conjuntos aproximados basados en cubrimientos y operadores de aproximaci贸n basados en relaciones binarias. Se unifican dos marcos de referencia sobre operadores de aproximaci贸n basados en cubrimientos en un 煤nico marco de referencia con pares duales. Se establecen algunas relaciones entre operadores de aproximaci贸n de dos de las m谩s importantes generalizaciones de la teor铆a de conjuntos aproximados. Finalmente, se presenta un algoritmo gen茅tico estructurado, para discretizar, reducir atributos y seleccionar operadores de aproximaci贸n, en problemas de clasificaci贸n.Doctorad
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