Properties of Fuzzy Norm of fuzzy Bounded Operators

Authors

  • Jehad R. Kider Department of Mathematics and Computer Applications, School of Applied Sciences, University of Technology, Baghdad, Iraq.
  • Noor Ahmed Kadhum Department of Mathematics and Computer Applications, School of Applied Sciences, University of Technology, Baghdad, Iraq.

Keywords:

Fuzzy normed space, Fuzzy bounded operator, Fuzzy continuous operator, The fuzzy normed space FB(X, Y)

Abstract

The principal aim of this research is to use the definition of fuzzy normed space
to define fuzzy bounded operator as an introduction to define the fuzzy norm of a
fuzzy bounded linear operator then we proved that the fuzzy normed space FB(X,Y)
consisting of all fuzzy bounded linear operators from a fuzzy norm space X into a
fuzzy norm space Y is fuzzy complete if Y is fuzzy complete. Also we introduce
different types of fuzzy convergence of operators.

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Published

2021-12-06

Issue

Vol 58 No 3A (2017)

Section

Mathematics

How to Cite

Properties of Fuzzy Norm of fuzzy Bounded Operators . (2021). Iraqi Journal of Science, 58(3A), 1237-1281. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/5857