Research on Rough Set Theory Based on Pansystems Binary Relation.
Jing Qu, Yongli Li, Lin He, Wanjin Cai
Abstract
Jing Qu, Yongli Li, Lin He, Wanjin Cai
Abstract
This paper first present pansystems general binary relation theory, then mainly talk about quasitransitivity weakened from transitivity. And based on b-s relation, discuss basal connections between equivalence relation and similarity relation, further based on quasitransitivity and b-s relation employ b- s core to take place similarity class as neighborhood operator, and consequently the upper and lower approximate operators are constructed. Compared with the traditional similarity rough set model, the approximate operators of this paper have finer accuracy of description to unknown knowledge. Copyright © IICAI 2005.
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This paper first present pansystems general binary relation theory, then mainly talk about quasitransitivity weakened from transitivity. And based on b-s relation, discuss basal connections between equivalence relation and similarity relation, further based on quasitransitivity and b-s relation employ b- s core to take place similarity class as neighborhood operator, and consequently the upper and lower approximate operators are constructed. Compared with the traditional similarity rough set model, the approximate operators of this paper have finer accuracy of description to unknown knowledge. Copyright © IICAI 2005.
Key concepts: Rough set, Binary relation, Set theory, Relation (database), Binary number, Computer science, Set (abstract data type), Theoretical computer science