Some Properties of Fuzzy Soft Proximity Spaces

We study the fuzzy soft proximity spaces in Katsaras's sense. First, we show how a fuzzy soft topology is derived from a fuzzy soft proximity. Also, we define the notion of fuzzy soft δ-neighborhood in the fuzzy soft proximity space which offers an alternative approach to the study of fuzzy sof...

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Detalles Bibliográficos
Autores principales: Demir, İzzettin, Özbakır, Oya Bedre
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4352443/
https://www.ncbi.nlm.nih.gov/pubmed/25793224
http://dx.doi.org/10.1155/2015/752634
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author Demir, İzzettin
Özbakır, Oya Bedre
author_facet Demir, İzzettin
Özbakır, Oya Bedre
author_sort Demir, İzzettin
collection PubMed
description We study the fuzzy soft proximity spaces in Katsaras's sense. First, we show how a fuzzy soft topology is derived from a fuzzy soft proximity. Also, we define the notion of fuzzy soft δ-neighborhood in the fuzzy soft proximity space which offers an alternative approach to the study of fuzzy soft proximity spaces. Later, we obtain the initial fuzzy soft proximity determined by a family of fuzzy soft proximities. Finally, we investigate relationship between fuzzy soft proximities and proximities.
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spelling pubmed-43524432015-03-19 Some Properties of Fuzzy Soft Proximity Spaces Demir, İzzettin Özbakır, Oya Bedre ScientificWorldJournal Research Article We study the fuzzy soft proximity spaces in Katsaras's sense. First, we show how a fuzzy soft topology is derived from a fuzzy soft proximity. Also, we define the notion of fuzzy soft δ-neighborhood in the fuzzy soft proximity space which offers an alternative approach to the study of fuzzy soft proximity spaces. Later, we obtain the initial fuzzy soft proximity determined by a family of fuzzy soft proximities. Finally, we investigate relationship between fuzzy soft proximities and proximities. Hindawi Publishing Corporation 2015 2015-01-27 /pmc/articles/PMC4352443/ /pubmed/25793224 http://dx.doi.org/10.1155/2015/752634 Text en Copyright © 2015 İ. Demir and O. B. Özbakır. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Demir, İzzettin
Özbakır, Oya Bedre
Some Properties of Fuzzy Soft Proximity Spaces
title Some Properties of Fuzzy Soft Proximity Spaces
title_full Some Properties of Fuzzy Soft Proximity Spaces
title_fullStr Some Properties of Fuzzy Soft Proximity Spaces
title_full_unstemmed Some Properties of Fuzzy Soft Proximity Spaces
title_short Some Properties of Fuzzy Soft Proximity Spaces
title_sort some properties of fuzzy soft proximity spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4352443/
https://www.ncbi.nlm.nih.gov/pubmed/25793224
http://dx.doi.org/10.1155/2015/752634
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