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10-01-2023 | Regular Paper

A new approach to neutrosophic soft rough sets

Authors: Adem Yolcu, Aysun Benek, Taha Yasin Öztürk

Published in: Knowledge and Information Systems | Issue 5/2023

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Abstract

Rough set is a world-renowned innovation for dealing with ambiguous, incomplete, and imprecise situations. Soft set theory and neutrosophic set theory are other advanced mathematical techniques for dealing with ambiguous, partial, and inconsistent data. The aim of this paper is to broaden the scope of rough set theory, soft set theory, and neutrosophic set theory. The notion of neutrosophic soft rough sets have been re-introduced. On neutrosophic soft rough set, several definitions, properties, and examples have been established. We also develop the concept of neutrosophic soft rough topology, which is based on a novel neutrosophic soft rough set approach. We have defined open sets, closed sets, interior, and closure as characteristics of neutrosophic soft rough topology.

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Title: A new approach to neutrosophic soft rough sets
Authors: Adem Yolcu
Aysun Benek
Taha Yasin Öztürk
Publication date: 10-01-2023
Publisher: Springer London
Published in: Knowledge and Information Systems / Issue 5/2023
Print ISSN: 0219-1377
Electronic ISSN: 0219-3116
DOI: https://doi.org/10.1007/s10115-022-01824-z

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