Extension of rough set under incomplete information system based on τ limited tolerance relation.
Tianzhi Li
Abstract
Tianzhi Li
Abstract
It is crucial to develop rough set theory under incomplete information systems,which is implemented by extending the classical rough set theory.In this paper,several extensions of rough set under incomplete information systems are analyzed.Then a novel extension of rough set based on the τ limited tolerance relation is proposed and some concepts such as upper approximation,lower approximation,generalized decision,discernibility function are defined.Finally,three examples are showed to demonstrate advantages of the new extension.
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It is crucial to develop rough set theory under incomplete information systems,which is implemented by extending the classical rough set theory.In this paper,several extensions of rough set under incomplete information systems are analyzed.Then a novel extension of rough set based on the τ limited tolerance relation is proposed and some concepts such as upper approximation,lower approximation,generalized decision,discernibility function are defined.Finally,three examples are showed to demonstrate advantages of the new extension.
Key concepts: Rough set, Extension (predicate logic), Relation (database), Dominance-based rough set approach, Set (abstract data type), Mathematics, Function (biology), Complete information