Neutrosophic Soft Normed Linear Spaces

In this paper, the neutrosophic norm has been defined on a soft linear space which is hereafter called neutrosophic soft normed linear space (NSNLS). Several characteristics of sequences defined in this space have been investigated here. Moreover, the notion of convexity and the metric in NSNLS have...

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Main Authors: Tuhin Bera, Nirmal Kumar Mahapatra
Format: Article
Language:English
Published: University of New Mexico 2018-12-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:http://fs.unm.edu/NSS/NeutrosophicSoftNormedLinear.pdf
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author Tuhin Bera
Nirmal Kumar Mahapatra
author_facet Tuhin Bera
Nirmal Kumar Mahapatra
author_sort Tuhin Bera
collection DOAJ
description In this paper, the neutrosophic norm has been defined on a soft linear space which is hereafter called neutrosophic soft normed linear space (NSNLS). Several characteristics of sequences defined in this space have been investigated here. Moreover, the notion of convexity and the metric in NSNLS have been introduced and some of their properties are established.
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spelling doaj.art-b93dd617764748788ca7a8af6e13d2df2022-12-21T17:00:50ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2018-12-0123527110.5281/zenodo.2156113Neutrosophic Soft Normed Linear SpacesTuhin BeraNirmal Kumar MahapatraIn this paper, the neutrosophic norm has been defined on a soft linear space which is hereafter called neutrosophic soft normed linear space (NSNLS). Several characteristics of sequences defined in this space have been investigated here. Moreover, the notion of convexity and the metric in NSNLS have been introduced and some of their properties are established.http://fs.unm.edu/NSS/NeutrosophicSoftNormedLinear.pdfNeutrosophic Soft NormNeutrosophic Soft Normed Linear Space (NSNLS)Convergent Sequence
spellingShingle Tuhin Bera
Nirmal Kumar Mahapatra
Neutrosophic Soft Normed Linear Spaces
Neutrosophic Sets and Systems
Neutrosophic Soft Norm
Neutrosophic Soft Normed Linear Space (NSNLS)
Convergent Sequence
title Neutrosophic Soft Normed Linear Spaces
title_full Neutrosophic Soft Normed Linear Spaces
title_fullStr Neutrosophic Soft Normed Linear Spaces
title_full_unstemmed Neutrosophic Soft Normed Linear Spaces
title_short Neutrosophic Soft Normed Linear Spaces
title_sort neutrosophic soft normed linear spaces
topic Neutrosophic Soft Norm
Neutrosophic Soft Normed Linear Space (NSNLS)
Convergent Sequence
url http://fs.unm.edu/NSS/NeutrosophicSoftNormedLinear.pdf
work_keys_str_mv AT tuhinbera neutrosophicsoftnormedlinearspaces
AT nirmalkumarmahapatra neutrosophicsoftnormedlinearspaces