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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 10 > No. 3

 
   

Relationship and Accuracy Analyses of Variable Precision Multi-Granulation Rough Sets based on Tolerance Relation

PP: 1111-1117
doi:10.18576/amis/100329
Author(s)
Chen Wu, Youquan Xu, Wei Xu, Lijuan Wang, Xibei Yang,
Abstract
This paper discusses the properties of optimistic, pessimistic and basic approximations of rough sets in ordinary and variable precise multi-granulation models and the ones produced by using union and intersection operations on multi-property relations deeply, and analyzes the relationships between or among them. It explores the approximate accuracy formulas and finds several inequalities to describe their relationships of those approximate accuracy formulas. It proves that approximation accuracy of incomplete variable precision multi-granulation rough sets based on tolerance relation is higher than the non-variable ones.

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