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International Fuzzy Systems Association World Congress

IFSA 2007: Foundations of Fuzzy Logic and Soft Computing pp 427–435Cite as

A Fuzzy Hahn-Banach Theorem

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Part of the Lecture Notes in Computer Science book series (LNAI,volume 4529)

Abstract

A fuzzy version of the Hahn-Banach theorem is proved based on the classical result. A comparison is also drawn with an earlier published result in this connection.

Keywords

  • Analysis
  • Topology
  • L-seminormed spaces
  • Fuzzy extension theorems

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Author information

Authors and Affiliations

  1. AIMS, 6 Melrose Rd, Muizenberg, Cape Town, 7945, South Africa

    Wesley Kotzé

  2. School of Mathematics, University of the Witwatersrand, Private Bag 3, P O WITS 2050, South Africa

    Andrew Pinchuck

Authors
  1. Wesley Kotzé
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  2. Andrew Pinchuck
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Editor information

Patricia Melin Oscar Castillo Luis T. Aguilar Janusz Kacprzyk Witold Pedrycz

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© 2007 Springer Berlin Heidelberg

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Kotzé, W., Pinchuck, A. (2007). A Fuzzy Hahn-Banach Theorem. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_42

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  • DOI: https://doi.org/10.1007/978-3-540-72950-1_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72917-4

  • Online ISBN: 978-3-540-72950-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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