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A new approach to neutrosophic soft rough sets

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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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Author notes

  1. Adem Yolcu, Aysun Benek and Taha Yasin Öztürk contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Kafkas University, 36100, Kars, Turkey

    Adem Yolcu, Aysun Benek & Taha Yasin Öztürk

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  1. Adem Yolcu
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  2. Aysun Benek
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  3. Taha Yasin Öztürk
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Correspondence to Adem Yolcu.

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Yolcu, A., Benek, A. & Öztürk, T.Y. A new approach to neutrosophic soft rough sets. Knowl Inf Syst 65, 2043–2060 (2023). https://doi.org/10.1007/s10115-022-01824-z

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