On the Normed Space of Equivalence Classes of Fuzzy Numbers

We study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers. This norm is very natural and works well with the induced metric on the quotient space.

Detalles Bibliográficos
Autores principales: Qiu, Dong, Lu, Chongxia, Zhang, Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3773455/
https://www.ncbi.nlm.nih.gov/pubmed/24072984
http://dx.doi.org/10.1155/2013/792484
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author Qiu, Dong
Lu, Chongxia
Zhang, Wei
author_facet Qiu, Dong
Lu, Chongxia
Zhang, Wei
author_sort Qiu, Dong
collection PubMed
description We study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers. This norm is very natural and works well with the induced metric on the quotient space.
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spelling pubmed-37734552013-09-26 On the Normed Space of Equivalence Classes of Fuzzy Numbers Qiu, Dong Lu, Chongxia Zhang, Wei ScientificWorldJournal Research Article We study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers. This norm is very natural and works well with the induced metric on the quotient space. Hindawi Publishing Corporation 2013-08-29 /pmc/articles/PMC3773455/ /pubmed/24072984 http://dx.doi.org/10.1155/2013/792484 Text en Copyright © 2013 Dong Qiu et al. 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
Qiu, Dong
Lu, Chongxia
Zhang, Wei
On the Normed Space of Equivalence Classes of Fuzzy Numbers
title On the Normed Space of Equivalence Classes of Fuzzy Numbers
title_full On the Normed Space of Equivalence Classes of Fuzzy Numbers
title_fullStr On the Normed Space of Equivalence Classes of Fuzzy Numbers
title_full_unstemmed On the Normed Space of Equivalence Classes of Fuzzy Numbers
title_short On the Normed Space of Equivalence Classes of Fuzzy Numbers
title_sort on the normed space of equivalence classes of fuzzy numbers
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3773455/
https://www.ncbi.nlm.nih.gov/pubmed/24072984
http://dx.doi.org/10.1155/2013/792484
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AT luchongxia onthenormedspaceofequivalenceclassesoffuzzynumbers
AT zhangwei onthenormedspaceofequivalenceclassesoffuzzynumbers

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