Construction of Basis Algebra in L-fuzzy Rough Sets

The approximation operator play a vital role in rough set theory. About the approximation operator, usually, we discuss three fundamental elements, including the binary relation in the universe, the basis algebra and the property of approximation operators. In the constructive approach of approximation operators, the properties of the approximation operators depend on the basis algebra and the binary relation. In this paper, we introduce the basis algebra construction approach, named as the basis algebra choosing approach, the basis algebra is built with properties of approximation operators and other certain binary relations.