Approximation operators by using finite family of reflexive relations

Abstract

In this paper, we generalize the two types of Yao's lower and upper approximations, using finite number of reflexive relations. Moreover, we give a comparison between these types and study some properties.

Bitopological approximation space with application to data reduction in multi-valued information systems

“…He also in [2], introduced a comparison between different kinds of approximations using a family of binary relations. He with Salama in [3,4] δβ-open sets have opened the door about using other topological approaches for information systems. In our approach we used any finite number of binary relations defined on attributes of an information system to generate two topological spaces and used them in generalizations.…”