abstract 90

Bulletin of Computational Applied Mathematics (Bull CompAMa) 

90

Single-Valued Quadripartitioned Neutrosophic Infi Pre-Open Set in Single-Valued Quadripartitioned Neutrosophic Infi Topological Space (Research Paper)

Binod Chandra Tripathy, Rakhal Das, Suman Das, Prasanna Poojary

In this article, an attempt has been made to introduce the notion of single-valued quadripartitioned neutrosophic infi-topological space (SVQNITS) by generalizing the concept of infi-topological space (ITS) and neutrosophic infi-topological space (NITS). Besides, we define different types of open sets, namely, single-valued quadripartitioned neutrosophic infi-open set (SVQNIOS), single-valued quadripartitioned neutrosophic infi-pre-open set (SVQNIPOS), single-valued quadripartitioned neutrosophic infi-semi-open set (SVQNISOS), single-valued quadripartitioned neutrosophic infi-$b$-open set (SVQNI-$b$-OS) and single-valued quadripartitioned neutrosophic infi-$\alpha$-open set (SVQNI-$\alpha$-OS) via SVQNITS. Then, we define some continuous mappings namely, single-valued quadripartitioned neutrosophic infi-continuous mapping (SVQNI-$C$-mapping), single-valued quadripartitioned neutrosophic infi-pre-continuous mapping (SVQNIP-$C$-mapping), single-valued quadripartitioned neutrosophic infi-semi-continuous mapping (SVQNIS-$C$-mapping), single-valued quadripartitioned neutrosophic infi-$b$-continuous function (SVQNI-$b$-C-mapping) and single-valued quadripartitioned neutrosophic infi-$\alpha$-continuous function (SVQNI-$\alpha$-C-mapping) via SVQNITS. Further, we establish several interesting results on them in the form of theorems, propositions, remarks, etc. via SVQNITS.

Keywords: Neutrosophic Set; SVQNS; SVQNITS; Infi-Open Set; Infi-Closed Set.

Cite this paper:

Tripathy B.C., Das R., Das S., Poojary P.

Single-Valued Quadripartitioned Neutrosophic Infi Pre-Open Set in Single-Valued Quadripartitioned Neutrosophic Infi Topological Space

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 12, No.1 pp.47-71, 2024.