Properties of Fuzzy Closed Linear Operator

Jehad Kider, Department of Mathematics and Computer Applications, School of Applied Sciences, University of Technology, Baghdad - IraqFollow
Noor Kadhum, Department of Mathematics and Computer Applications, School of Applied Sciences, University of Technology, Baghdad - Iraq

Keywords

Fuzzy bounded linear operator, fuzzy norm of a fuzzy bounded operator, Fuzzy open mapping, Fuzzy closed graph, Fuzzy closed operator

Document Type

Research Paper

Abstract

In this paper we recall the definition of fuzzy norm of a fuzzy bounded linear operator and the fuzzy convergence of sequence of fuzzy bounded linear operators in order to prove the uniform fuzzy bounded theorem and fuzzy open mapping theorem. The definition of fuzzy closed linear operators on fuzzy normed spaces is introduced in order to prove the fuzzy closed graph theorem.

Recommended Citation

Kider, Jehad and Kadhum, Noor (2026) "Properties of Fuzzy Closed Linear Operator," Engineering and Technology Journal: Vol. 37: Iss. 1, Article 10.
DOI: https://doi.org/10.30684/etj.37.1B.5

DOI

10.30684/etj.37.1B.5

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