On Some New Sets Via Local Closure Function in Ideal Topological Space

In this paper, we introduce Lr-perfect set, Rr-perfect set and Cr-perfect set in ideal topological space and study their properties. We investigate the relationship between the existing R*-perfect sets and Rr-perfect set and also L*-perfect sets and Lr-perfect set. We construct a topology τT by using Kuratowski closure operator.

Authors

Publication Details

Journal
International Journal of Research and Innovation in Applied Science
Published
2025-01-01
DOI
https://doi.org/10.51584/ijrias.2025.10040049
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On Some New Sets Via Local Closure Function in Ideal Topological Space

Jamilu Auwalu Adamu, Ali Bulama Mamman, Haruna Usman Idriss, Bashir Mai Umar et al.
International Journal of Research and Innovation in Applied Science
Fuzzy and Soft Set Theory
article

On Some New Sets Via Local Closure Function in Ideal Topological Space

Jamilu Auwalu Adamu, Ali Bulama Mamman, Haruna Usman Idriss, Bashir Mai Umar, Buba M.T Hambadga
article en

Abstract

In this paper, we introduce Lr-perfect set, Rr-perfect set and Cr-perfect set in ideal topological space and study their properties. We investigate the relationship between the existing R*-perfect sets and Rr-perfect set and also L*-perfect sets and Lr-perfect set. We construct a topology τT by using Kuratowski closure operator.

International Journal of Research and Innovation in Applied ScienceVol. X(IV)
Openalex Percentile: Top 89%
Fuzzy and Soft Set Theory
DOISourceOpenAlex
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On Some New Sets Via Local Closure Function in Ideal Topological Space — Jamilu Auwalu Adamu, Ali Bulama Mamman, et al. · International Journal of Research and Innovation in Applied Science (2025) | TGRS Research Map | TGRS