Cardinality rough neighborhoods with applications DOI Creative Commons
Tareq M. Al-shami, Rodyna A. Hosny, Abdelwaheb Mhemdi

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(11), P. 31366 - 31392

Published: Jan. 1, 2024

<p>Rough set theory serves as an effective method for managing complicated real-world data. Through rough approximation operators, it discerns both confirmed and possible data attainable through subsets. Earlier studies have presented several models, drawing inspiration from neighborhood systems aimed at enhancing accuracy degree satisfying the axioms of traditional spaces (TAS) that were initiated by Pawlak. This article proposes easy to deal with information in most cases, wherein introduces a new forming generalized spaces, namely, cardinality neighborhoods. It is defined depending on cardinal number $ \mathcal{N}_\sigma $-neighborhoods elements are established under arbitrary relation. Their main features investigated connections between them, well their relationships preceding kinds systems, uncovered aid some examples. Then, novel paradigms induced neighborhoods displayed satisfy properties Pawlak's paradigm. Next, topological study these provided, this produces operators similar given six cases proved. Additionally, practical example concerning books authors who authored them or participated authorship applied. To illuminate need current concepts, we elaborate advantages different views. Finally, summary obtained results suggestions forthcoming work offered.</p>

Language: Английский

Cardinality rough neighborhoods via ideals with medical applications DOI
Tareq M. Al-shami, M. M. Hosny, Murad Arar

et al.

Computational and Applied Mathematics, Journal Year: 2025, Volume and Issue: 44(1)

Published: Jan. 20, 2025

Language: Английский

Citations

0
Enhancing group recommendation performance by integrating individual prediction uncertainty DOI
Fuguo Zhang, Yunhe Liu,

Shaoxiang FENG

et al.

Expert Systems with Applications, Journal Year: 2025, Volume and Issue: 276, P. 127093 - 127093

Published: March 11, 2025

Language: Английский

Citations

0
New topologies derived from the old one via operators DOI Creative Commons
Josiah Carberry, Murad Özkoç

Demonstratio Mathematica, Journal Year: 2025, Volume and Issue: 58(1)

Published: Jan. 1, 2025

Abstract The main purpose of this work is to study the ideal topology defined by minimal and maximal ideals on a topological space. Also, we define investigate concepts quotient annihilator any subfamily 2 X {2}^{X} , where power set X . We obtain some their fundamental properties. In addition, several relationships among above notions have been discussed. Moreover, new an space, called sharp topology, via operator in study, which turns out be finer than original topology. Furthermore, decomposition open sets (in topology) has obtained. Finally, conclude our with interesting applications.

Language: Английский

Citations

0
New insights into rough approximations of a fuzzy set inspired by soft relations with decision making applications DOI Creative Commons

Rani Sumaira Kanwal,

Saqib Mazher Qurashi, Rizwan Gul

et al.

AIMS Mathematics, Journal Year: 2025, Volume and Issue: 10(4), P. 9637 - 9673

Published: Jan. 1, 2025

Language: Английский

Citations

0
Overlapping containment rough neighborhoods and their generalized approximation spaces with applications DOI
Tareq M. Al-shami, Abdelwaheb Mhemdi

Journal of Applied Mathematics and Computing, Journal Year: 2024, Volume and Issue: unknown

Published: Oct. 12, 2024

Language: Английский

Citations

3
Cardinality rough neighborhoods with applications DOI Creative Commons
Tareq M. Al-shami, Rodyna A. Hosny, Abdelwaheb Mhemdi

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(11), P. 31366 - 31392

Published: Jan. 1, 2024

<p>Rough set theory serves as an effective method for managing complicated real-world data. Through rough approximation operators, it discerns both confirmed and possible data attainable through subsets. Earlier studies have presented several models, drawing inspiration from neighborhood systems aimed at enhancing accuracy degree satisfying the axioms of traditional spaces (TAS) that were initiated by Pawlak. This article proposes easy to deal with information in most cases, wherein introduces a new forming generalized spaces, namely, cardinality neighborhoods. It is defined depending on cardinal number $ \mathcal{N}_\sigma $-neighborhoods elements are established under arbitrary relation. Their main features investigated connections between them, well their relationships preceding kinds systems, uncovered aid some examples. Then, novel paradigms induced neighborhoods displayed satisfy properties Pawlak's paradigm. Next, topological study these provided, this produces operators similar given six cases proved. Additionally, practical example concerning books authors who authored them or participated authorship applied. To illuminate need current concepts, we elaborate advantages different views. Finally, summary obtained results suggestions forthcoming work offered.</p>

Language: Английский

Citations

1