Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers

Some properties of the fuzzy convergence and fuzzy boundedness of a sequence of fuzzy numbers were studied in Choi (1996). In this paper, we have consider, some important problems on these spaces and shown that these spaces are fuzzy complete module spaces. Also, the fuzzy α-, fuzzy β-, and fuzzy γ-...

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Main Authors: M. Şengönül, Z. Zararsız
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/837584
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author M. Şengönül
Z. Zararsız
author_facet M. Şengönül
Z. Zararsız
author_sort M. Şengönül
collection DOAJ
description Some properties of the fuzzy convergence and fuzzy boundedness of a sequence of fuzzy numbers were studied in Choi (1996). In this paper, we have consider, some important problems on these spaces and shown that these spaces are fuzzy complete module spaces. Also, the fuzzy α-, fuzzy β-, and fuzzy γ-duals of the fuzzy module spaces of fuzzy numbers have been computeded, and some matrix transformations are given.
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institution Kabale University
issn 1085-3375
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publishDate 2011-01-01
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series Abstract and Applied Analysis
spelling doaj-art-ff552f13967342678d99f43600787a682025-02-03T01:07:20ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/837584837584Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy NumbersM. Şengönül0Z. Zararsız1Science and Art Faculty, Nevşehir University, 50300 Nevşehir, TurkeyScience and Art Faculty, Nevşehir University, 50300 Nevşehir, TurkeySome properties of the fuzzy convergence and fuzzy boundedness of a sequence of fuzzy numbers were studied in Choi (1996). In this paper, we have consider, some important problems on these spaces and shown that these spaces are fuzzy complete module spaces. Also, the fuzzy α-, fuzzy β-, and fuzzy γ-duals of the fuzzy module spaces of fuzzy numbers have been computeded, and some matrix transformations are given.http://dx.doi.org/10.1155/2011/837584
spellingShingle M. Şengönül
Z. Zararsız
Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers
Abstract and Applied Analysis
title Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers
title_full Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers
title_fullStr Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers
title_full_unstemmed Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers
title_short Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers
title_sort some additions to the fuzzy convergent and fuzzy bounded sequence spaces of fuzzy numbers
url http://dx.doi.org/10.1155/2011/837584
work_keys_str_mv AT msengonul someadditionstothefuzzyconvergentandfuzzyboundedsequencespacesoffuzzynumbers
AT zzararsız someadditionstothefuzzyconvergentandfuzzyboundedsequencespacesoffuzzynumbers