The Basis Algebra in L-Fuzzy Rough Sets

摘要

The basis algebra and the binary relation are two important notions in the constructive approach of approximation operators in rough sets theory. This paper discusses the influence of the basis algebra on the properties of approximation operators. The properties of approximation operators based on residuated lattice, IMTL algebra and boolean algebra are presented respectively. Then, the influence of basic algebra on the properties of L-fuzzy rough approximation operators is shown through two examples.