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Title of article :
Topology vs generalized rough sets Original Research Article
Author/Authors :
Zhi-Pei Liang، نويسنده , , Daowu Pei، نويسنده , , Li Zheng، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
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Abstract :
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.
Keywords :
Rough set theory , Relation based rough set , Generalized rough set , topology
Journal title :
International Journal of Approximate Reasoning
Link To Document :