On the Fuzzy Convergence

The aim of this paper is to introduce and study the fuzzy neighborhood, the limit fuzzy number, the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence on the base which is adopted by Abdul Hameed (every real number r is replaced by a fuzzy number r¯ (either triangul...

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Main Author: Abdul Hameed Q. A. Al-Tai
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/147130
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spelling doaj-045274d34a234c789178c217786062932020-11-24T22:01:53ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/147130147130On the Fuzzy ConvergenceAbdul Hameed Q. A. Al-Tai0College of Qu'ranic Studies, University of Babylon, Babylon, IraqThe aim of this paper is to introduce and study the fuzzy neighborhood, the limit fuzzy number, the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence on the base which is adopted by Abdul Hameed (every real number r is replaced by a fuzzy number r¯ (either triangular fuzzy number or singleton fuzzy set (fuzzy point))). And then, we will consider that some results respect effect of the upper sequence on the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence.http://dx.doi.org/10.1155/2011/147130
collection DOAJ
language English
format Article
sources DOAJ
author Abdul Hameed Q. A. Al-Tai
spellingShingle Abdul Hameed Q. A. Al-Tai
On the Fuzzy Convergence
Journal of Applied Mathematics
author_facet Abdul Hameed Q. A. Al-Tai
author_sort Abdul Hameed Q. A. Al-Tai
title On the Fuzzy Convergence
title_short On the Fuzzy Convergence
title_full On the Fuzzy Convergence
title_fullStr On the Fuzzy Convergence
title_full_unstemmed On the Fuzzy Convergence
title_sort on the fuzzy convergence
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2011-01-01
description The aim of this paper is to introduce and study the fuzzy neighborhood, the limit fuzzy number, the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence on the base which is adopted by Abdul Hameed (every real number r is replaced by a fuzzy number r¯ (either triangular fuzzy number or singleton fuzzy set (fuzzy point))). And then, we will consider that some results respect effect of the upper sequence on the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence.
url http://dx.doi.org/10.1155/2011/147130
work_keys_str_mv AT abdulhameedqaaltai onthefuzzyconvergence
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