![](/images/graphics-bg.png)
On the Zweier Sequence Spaces of Fuzzy Numbers
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
It was given a prototype constructing a new sequence space of fuzzy numbers by means of the matrix domain of a particular limitation method.
That is we have constructed the Zweier sequence spaces of fuzzy numbers [ℓ∞(F)]Zη, [c(F)]Zη, and [c0(F)]Zη consisting of all sequences u=(uk) such that Zηu in the spaces ℓ∞(F), c(F), and c0(F), respectively.
Also, we prove that [ℓ∞(F)]Zη, [c(F)]Zη, and [c0(F)]Zη are linearly isomorphic to the spaces ℓ∞(F), c(F), and c0(F), respectively.
Additionally, the α(r)-, β(r)-, and γ(r)-duals of the spaces [ℓ∞(F)]Zη, [c(F)]Zη, and [c0(F)]Zη have been computed.
Furthermore, two theorems concerning matrix map have been given.
American Psychological Association (APA)
Şengönül, Mehmet. 2014. On the Zweier Sequence Spaces of Fuzzy Numbers. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-472423
Modern Language Association (MLA)
Şengönül, Mehmet. On the Zweier Sequence Spaces of Fuzzy Numbers. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-472423
American Medical Association (AMA)
Şengönül, Mehmet. On the Zweier Sequence Spaces of Fuzzy Numbers. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-472423
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472423