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Rough Approximations Based on Valued Tolerance Relations

Qin K., Luo J., Pei Z.

Fundamenta Informaticae

2015

Vol. 142, nr 1-4

183--194

Rough set approach for knowledge discovery in incomplete information systems has been extensively studied. This paper conduct a further study of valued tolerance relation based rough approximations. We make an analysis of the existing rough approximabilities and propose a new approach for lower (upper) approximability, which is a generalization of Pawlak approximation operators for complete information system. The approach has also been generalized to fuzzy cases. Some basic properties of the approximation operators are examined.