TY - JOUR
T1 - Rough lacunary statistical convergence in neutrosophic normed spaces
AU - Khan, Vakeel A.
AU - Rahaman, S. K.Ashadul
AU - Hazarika, Bipan
AU - Alam, Masood
N1 - Publisher Copyright:
© 2023 - IOS Press. All rights reserved.
PY - 2023/11/4
Y1 - 2023/11/4
N2 - In this paper, we address some imprecisions in the definition of neutrosophic normed space proposed by Kirişçi and Şimşek [16], Definition 4. We propose a modification to the definition and introduce the notion of rough lacunary statistical convergence in the neutrosophic normed space. Furthermore, we present the idea of rough lacunary statistical cluster points in neutrosophic normed spaces and investigate the relationship between the set of these cluster points and the set of rough lacunary statistical limit points of the aforementioned convergence.
AB - In this paper, we address some imprecisions in the definition of neutrosophic normed space proposed by Kirişçi and Şimşek [16], Definition 4. We propose a modification to the definition and introduce the notion of rough lacunary statistical convergence in the neutrosophic normed space. Furthermore, we present the idea of rough lacunary statistical cluster points in neutrosophic normed spaces and investigate the relationship between the set of these cluster points and the set of rough lacunary statistical limit points of the aforementioned convergence.
KW - Neutrosophic normed space
KW - rough convergence
KW - rough lacunary statistical convergence
KW - statistical convergence
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U2 - 10.3233/JIFS-222548
DO - 10.3233/JIFS-222548
M3 - Article
AN - SCOPUS:85176725344
SN - 1064-1246
VL - 45
SP - 7335
EP - 7351
JO - Journal of Intelligent and Fuzzy Systems
JF - Journal of Intelligent and Fuzzy Systems
IS - 5
ER -