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

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, et. via SVQNITS.