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.
Digital Object Identifier (DOI)
Wu, Chen; Xu, Youquan; Xu, Wei; Wang, Lijuan; and Yang, Xibei
"Relationship and Accuracy Analyses of Variable Precision Multi-Granulation Rough Sets based on Tolerance Relation,"
Applied Mathematics & Information Sciences: Vol. 10
, Article 29.
Available at: https://dc.naturalspublishing.com/amis/vol10/iss3/29