A new approach to neutrosophic soft rough sets

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...

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Bibliographic Details
Published in:Knowledge and information systems 2023-05, Vol.65 (5), p.2043-2060
Main Authors: Yolcu, Adem, Benek, Aysun, Öztürk, Taha Yasin
Format: Article
Language:English
Subjects:
Computer Science
Data Mining and Knowledge Discovery
Database Management
Fuzzy sets
Information Storage and Retrieval
Information Systems and Communication Service
Information Systems Applications (incl.Internet)
IT in Business
Regular Paper
Set theory
Topology
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Summary: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.
ISSN:0219-1377
0219-3116
DOI:10.1007/s10115-022-01824-z