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

The short article in hand introduces some amendments for the relationships and claims presented in <sup>[<xref ref-type="bibr" rid="b16">16</xref>]</sup> with the investigation of their correct forms. To elucidate those failures and to support the results...

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Bibliographic Details
Main Authors: Tareq M. Al-shami, Mohammed M. Ali Al-Shamiri, Murad Arar
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241553?viewType=HTML
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Summary:The short article in hand introduces some amendments for the relationships and claims presented in <sup>[<xref ref-type="bibr" rid="b16">16</xref>]</sup> 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 <sup>[<xref ref-type="bibr" rid="b11">11</xref>]</sup> and <sup>[<xref ref-type="bibr" rid="b16">16</xref>]</sup> are incomparable. Moreover, we demonstrate that the observations, given in the application section of <sup>[<xref ref-type="bibr" rid="b16">16</xref>]</sup>, 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.
ISSN:2473-6988