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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2011-01-01
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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. |
format | Article |
id | doaj-art-ff552f13967342678d99f43600787a68 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
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 |