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Constructive and algebraic methods of the theory of rough sets
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On the structure of generalized rough sets
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International Journal of Approximate Reasoning
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International Journal of Approximate Reasoning
Probabilistic rough set over two universes and rough entropy
International Journal of Approximate Reasoning
Formalization of implication based fuzzy reasoning method
International Journal of Approximate Reasoning
Topological characterizations of covering for special covering-based upper approximation operators
Information Sciences: an International Journal
On some types of neighborhood-related covering rough sets
International Journal of Approximate Reasoning
Generalization of Pawlak's rough approximation spaces by using δβ-open sets
International Journal of Approximate Reasoning
NMGRS: Neighborhood-based multigranulation rough sets
International Journal of Approximate Reasoning
Soft rough sets and topologies
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Topological and lattice structures of L-fuzzy rough sets determined by lower and upper sets
Information Sciences: an International Journal
Axiomatic systems for rough set-valued homomorphisms of associative rings
International Journal of Approximate Reasoning
On fuzzy topological structures of rough fuzzy sets
Transactions on Rough Sets XVI
A categorical representation of algebraic domains based on variations of rough approximable concepts
International Journal of Approximate Reasoning
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This paper investigates the relationship between topology and generalized rough sets induced by binary relations. Some known results regarding the relation based rough sets are reviewed, and some new results are given. Particularly, the relationship between different topologies corresponding to the same rough set model is examined. These generalized rough sets are induced by inverse serial relations, reflexive relations and pre-order relations, respectively. We point that inverse serial relations are weakest relations which can induce topological spaces, and that different relation based generalized rough set models will induce different topological spaces. We proved that two known topologies corresponding to reflexive relation based rough set model given recently are different, and gave a condition under which the both are the same topology.