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Commentary | Open Access

Unavoidable corrections for θβ-ideal approximation spaces

Tareq M. Al-shami1,2( ), Mohammed M. Ali Al-Shamiri3, Murad Arar4
Mathematics Department, Sana'a University, Sana'a, Yemen
Jadara University Research Center, Jadara University, Jordan
Department of Mathematics, College of Sciences and Arts Muhayil Asir, King Khalid University, 61913, Saudi Arabia
Mathematics Department, College of Sciences and Humanities in Aflaj, Prince Sattam bin Abdulaziz University, Riyadh, Saudi Arabia
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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.

CLC number: 03E72, 54A10, 68T30, 91B06

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AIMS Mathematics
Pages 32399-32408

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Cite this article:
Al-shami TM, Al-Shamiri MMA, Arar M. Unavoidable corrections for θβ-ideal approximation spaces. AIMS Mathematics, 2024, 9(11): 32399-32408. https://doi.org/10.3934/math.20241553

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Received: 12 August 2024
Revised: 09 November 2024
Accepted: 13 November 2024
Published: 15 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)