Unavoidable corrections for $ \theta\beta $-ideal approximation spaces

Abstract

The short article in hand introduces some amendments for the relationships and claims presented in [16] with the investigation of their correct forms. To elucidate those failures and to support the results obtained herein, we provide an illustrative example. We also elucidate that the rough set models proposed by [11] and [16] are incomparable. Moreover, we demonstrate that the observations, given in the application section of [16], contradict the computations of lower and upper approximations, boundary regions, and accuracy measures as well as violate some well-known properties of Pawlak approximation space.

Keywords

• rough set
• topology
• lower and upper approximation