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Approximation Properties in Felbin Fuzzy Normed Spaces

Author

Listed:
  • Ju Myung Kim

    (Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea
    These authors contributed equally to this work.)

  • Keun Young Lee

    (Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea
    These authors contributed equally to this work.)

Abstract

In this paper, approximation properties in Felbin fuzzy normed spaces are considered. These approximation properties are new concepts in Felbin fuzzy normed spaces. Definitions and examples of such properties are given and we make a comparative study among approximation properties in Bag and Samanta fuzzy normed spaces and Felbin fuzzy normed spaces. We develop the representation of finite rank bounded operators in our context. By using this representation, characterizations of approximation properties are established in Felbin fuzzy normed spaces.

Suggested Citation

  • Ju Myung Kim & Keun Young Lee, 2019. "Approximation Properties in Felbin Fuzzy Normed Spaces," Mathematics, MDPI, vol. 7(10), pages 1-14, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:1003-:d:279118
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    Cited by:

    1. Yanyan Xu & Lu Sun & Hao Li & Guanggui Chen, 2023. "The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

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