Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making

Authors

  • Muhammad Riaz
  • Florentin Smarandache
  • Faruk Karaaslan
  • Masooma Raza Hashmi
  • Iqra Nawaz

Abstract

In this manuscript, we introduce the notion of neutrosophic soft rough topology (NSRtopology) defined on neutrosophic soft rough set (NSR-set). We define certain properties of NSRtopology including NSR-interior, NSR-closure, NSR-exterior, NSR-neighborhood, NSR-limit point,
and NSR-bases. Furthermore, we aim to develop some multi-criteria decision-making (MCDM)
methods based on NSR-set and NSR-topology to deal with ambiguities in the real-world problems.
For this purpose, we establish algorithm 1 for suitable brand selection and algorithm 2 to determine
core issues to control crime rate based on NSR-lower approximations, NSR-upper approximations,
matrices, core, and NSR-topology. 

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Published

2024-02-14

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Muhammad Riaz, Florentin Smarandache, Faruk Karaaslan, Masooma Raza Hashmi, & Iqra Nawaz. (2024). Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making. Neutrosophic Sets and Systems, 35, 198-219. https://fs.unm.edu/nss8/index.php/111/article/view/3994

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