Single-Valued Neutrosophic Roughness via Ideals

Alsharari, Fahad

doi:10.28924/2291-8639-22-2024-38

Research Article

Single-Valued Neutrosophic Roughness via Ideals

Fahad Alsharari

Abstract

In this paper, we connect the idea of single-valued neutrosophic ideal to the concept of single-valued neutrosophic approximation space to define the concept of single-valued neutrosophic ideal approximation spaces. We present the single-valued neutrosophic ideal approximation interior operator int^ψ_Φ and the single-valued neutrosophic ideal approximation closure operator cl^ψ_Φ, and we present the single-valued neutrosophic ideal approximation preinterior operator pint_ψ^Φ and the single-valued neutrosophic ideal approximation pre-closure operator pcl_ψ^Φ about this concerning single-valued neutrosophic ideal defined on the single-valued neutrosophic approximation space (χ˜,ϕ) related with some single-valued neutrosophic set ψ∈ξ^χ˜. Also, we present single-valued neutrosophic separation axioms, single-valued neutrosophic connectedness, and single-valued neutrosophic compactness in single-valued neutrosophic approximation spaces and single-valued neutrosophic ideal approximation spaces as well, and prove the associations in between.

How to Cite

F. Alsharari, Single-Valued Neutrosophic Roughness via Ideals, Int. J. Anal. Appl. 22 (2024), 38. https://doi.org/10.28924/2291-8639-22-2024-38

BibTeX

@article{Alsharari2024,
  author  = {Alsharari, Fahad},
  title   = {Single-Valued Neutrosophic Roughness via Ideals},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {38},
  doi     = {10.28924/2291-8639-22-2024-38}
}

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