T-rough set is an important model in the development of Pawlak rough set theory,and has been successfully applied to data mining and many other fields.The FT-rough set model can process continu-ous data while maintaining data integrity,which is a development of the T-rough set model that can only handle discrete data.In this study,we introduced the weak inverse and strong inverse definitions of a pair of fuzzy sets in a fuzzy approximation space,studied some properties of FT-rough sets by quantification method,and obtained the knowledge structure generated by fuzzy skill mapping under the disjunctive model and the conjunction model,and explored the properties of FT-rough set fuzzy set value mapping under union and intersection operations by quantization method and matrix representation.
FT-roughblur approximate spaceupper inverse and lower inverseweak inverse and strong inverse