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

来源：

KNOWLEDGE AND INFORMATION SYSTEMS | 2023年 / 65卷 / 05期

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

页码：2043 / 2060

页数：18

共 50 条

[1] A new approach to neutrosophic soft rough sets
Adem Yolcu
Aysun Benek
Taha Yasin Öztürk
Knowledge and Information Systems, 2023, 65 : 2043 - 2060
[2] A New Approach to Neutrosophic Hypersoft Rough Sets
Subha V.S.
Selvakumar R.
Neutrosophic Sets and Systems, 2023, 58 : 226 - 247
[3] A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces
Ozturk, Taha Yasin
Aras, Cigdem Gunduz
Bayramov, Sadi
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (03): : 481 - 493
[4] Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application
Marei, Emad
NEUTROSOPHIC SETS AND SYSTEMS, 2018, 20 : 76 - 85
[5] A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces
Ozturk T.Y.
Dizman T.H.
Neutrosophic Sets and Systems, 2019, 30 : 22 - 33
[6] A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces
Ozturk, Taha Yasin
Dizman , Tugba Han
NEUTROSOPHIC SETS AND SYSTEMS, 2019, 30 : 22 - 33
[7] A New Approach to Neutrosophic Soft Sets and their Application in Decision Making
Mohanty R.K.
Tripathy B.K.
Neutrosophic Sets and Systems, 2023, 60 : 159 - 174
[8] ROUGH NEUTROSOPHIC SETS
Broumi, Said
Smarandache, Florentin
Dhar, Mamoni
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, (32): : 493 - 502
[9] New Family of Neutrosophic Soft Sets
AL-Nafee A.B.
AL-Nafee, Ahmed B. (Ahm_math_88@yahoo.com), 1600, University of New Mexico (38): : 483 - 496
[10] Another approach to soft rough sets
Shabir, Muhammad
Ali, Muhammad Irfan
Shaheen, Tanzeela
KNOWLEDGE-BASED SYSTEMS, 2013, 40 : 72 - 80

← 1 2 3 4 5 →