SOME PROPERTIES OF FUZZY NORMED LINEAR SPACES AND OPERATORS
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Date
2025-09-08
Authors
Bitawi, Tina
Journal Title
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Publisher
An-Najah National University
Abstract
This thesis shows the development of fuzzy normed spaces starting with classical
normed spaces. Also it shows a review of classical spaces as a background that helps
in understanding how these ideas change in the fuzzy world, then the thesis moves
to show the meaning of fuzzy sets and fuzzy numbers, then moves to define fuzzy
normed spaces and fuzzy operators.
As you go through this thesis, you will find easy examples using α level sets. It helps
in understanding the fuzzy boundedness, continuity, and convergence. The goal is
to give a clear mathematical background to work with uncertain data and can be
used as for future studies.
In addition, this thesis highlights the importance of fuzzy operators and their bound-
edness and illustrates how these concepts are advanced in the study of fuzzy func-
tional analysis. The discussions here contribute to the understanding of the theory
of fuzzy functional analysis, as well as opening possible avenues for applications in
data analysis, decision making, and control