A new approach to neutrosophic soft rough sets

被引:4
|
作者
Yolcu, Adem [1 ]
Benek, Aysun [1 ]
Ozturk, Taha Yasin [1 ]
机构
[1] Kafkas Univ, Dept Math, TR-36100 Kars, Turkiye
关键词
Rough sets; Neutrosophic soft rough sets; Neutrosophic soft rough topology; FUZZY-SETS; IMPERFECT;
D O I
10.1007/s10115-022-01824-z
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
收藏
页码:2043 / 2060
页数:18
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