Fuzzy Pentapartitioned Neutrosophic Soft Topological Space

N. Punitha; A. Kalavathi

doi:https://doi.org/10.14445/22315373/IJMTT-V72I5P103

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 72 | Issue 5 | Year 2026 | Article Id. IJMTT-V72I5P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I5P103

Fuzzy Pentapartitioned Neutrosophic Soft Topological Space

N. Punitha, A. Kalavathi

Received	Revised	Accepted	Published
25 Mar 2026	29 Apr 2026	14 May 2026	28 May 2026

Citation :

N. Punitha, A. Kalavathi, "Fuzzy Pentapartitioned Neutrosophic Soft Topological Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 5, pp. 42-49, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I5P103

Abstract

This study introduces the concept of fuzzy pentapartitioned Neutrosophic soft topological space. We define the interior and closure operators for fuzzy pentapartitioned Neutrosophic soft sets within this topological framework and examine their fundamental properties. Additionally, we introduce the notions of Fuzzy Pentapartitioned Neutrosophic Soft Pre-Open (FPNS-PO), semi-open (FPNS-SO), b-open (FPNS-b-O), and α-open (FPNS-α-O) sets. Suitable numerical examples are provided, and several basic results concerning these generalized open sets are established.

Keywords

Fuzzy pentapartitioned neutrosophic soft set, fuzzy pentapartitioned neutrosophic soft matrix, fpns-po, fpns-so, fpns-b-o, fpns-α-o.

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