Research on Knowledge Reduction based on Knowledge Granularity
Hong Li
Abstract
Hong Li
Abstract
This paper,based on knowledge granularity and knowledge significance, proves that the granularity of the reduction attribute set is equal to the granularity of the initial attribute set,every attribute in the reduction set is important for each of the remaining attribute in the reduction set,every attribute out of the reduction set is unimportant for each of the remaining attribute in the reduction set,and every attribute in the core is important for each of the remaining attribute,etc.Then it describes the necessary and sufficient condition that core is a reduction.Finally,it offers knowledge reduction algorithm based on knowledge granularity-KRAKG algorithm,of which time complexity proves to be O(|R|×|U|2),effectiveness verified.
OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
This paper,based on knowledge granularity and knowledge significance, proves that the granularity of the reduction attribute set is equal to the granularity of the initial attribute set,every attribute in the reduction set is important for each of the remaining attribute in the reduction set,every attribute out of the reduction set is unimportant for each of the remaining attribute in the reduction set,and every attribute in the core is important for each of the remaining attribute,etc.Then it describes the necessary and sufficient condition that core is a reduction.Finally,it offers knowledge reduction algorithm based on knowledge granularity-KRAKG algorithm,of which time complexity proves to be O(|R|×|U|2),effectiveness verified.
Key concepts: Granularity, Reduction (mathematics), Rough set, Set (abstract data type), Computer science, Data mining, Attribute domain, Core (optical fiber)