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Operator’s Fuzzy Norm and Some Properties

Operator’s Fuzzy Norm and Some Properties Fuzzy Information and Engineering 7 (2015) 151–164 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2015.05.002 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Information and Engineering Taylor & Francis

Operator’s Fuzzy Norm and Some Properties

Bag, T.; Samanta, S.K.
Fuzzy Information and Engineering , Volume 7 (2): 14 – Jun 1, 2015
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14 pages

Operator’s Fuzzy Norm and Some Properties

Abstract

AbstractIn this paper, a concept of operator’s fuzzy norm is introduced for the first time in general -norm setting. Ideas of fuzzy continuous operators, fuzzy bounded linear operators are given with some properties of such operators studied in this general setting.
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Publisher
Taylor & Francis
Copyright
© 2015 Fuzzy Information and Engineering Branch of the Operations Research Society of China. Production and hosting by Elsevier B.V. All rights reserved.
ISSN
1616-8666
eISSN
1616-8658
DOI
10.1016/j.fiae.2015.05.002
Publisher site
See Article on Publisher Site

Abstract

Fuzzy Information and Engineering 7 (2015) 151–164 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2015.05.002

Journal

Fuzzy Information and Engineering – Taylor & Francis

Published: Jun 1, 2015

Keywords: Fuzzy norm; Fuzzy continuous operator; Fuzzy bounded linear operator

References

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  • Intuitionistic fuzzy -normed linear space
  • Finite dimensional generating spaces of quasi-norm family
  • Finite dimensional fuzzy normed linear spaces
  • Product fuzzy normed linear spaces