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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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2011/837584 |
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doaj-ff552f13967342678d99f43600787a682020-11-24T22:13:41ZengHindawi LimitedAbstract 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M. Şengönül Z. Zararsız |
spellingShingle |
M. Şengönül Z. Zararsız Some Additions to the Fuzzy Convergent and Fuzzy Bounded Sequence Spaces of Fuzzy Numbers Abstract and Applied Analysis |
author_facet |
M. Şengönül Z. Zararsız |
author_sort |
M. Şengönül |
title |
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_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_sort |
some additions to the fuzzy convergent and fuzzy bounded sequence spaces of fuzzy numbers |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2011-01-01 |
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. |
url |
http://dx.doi.org/10.1155/2011/837584 |
work_keys_str_mv |
AT msengonul someadditionstothefuzzyconvergentandfuzzyboundedsequencespacesoffuzzynumbers AT zzararsız someadditionstothefuzzyconvergentandfuzzyboundedsequencespacesoffuzzynumbers |
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