Xiao Jian
Abstract
A new definition of fuzzy norm of linear operators on a fuzzy normed space is introduced. It is showed that the set of fuzzy bounded linear operators endowed with the new fuzzy norm is still a fuzzy normed space and preserves the completeness of their range.
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A new definition of fuzzy norm of linear operators on a fuzzy normed space is introduced. It is showed that the set of fuzzy bounded linear operators endowed with the new fuzzy norm is still a fuzzy normed space and preserves the completeness of their range.
Key concepts: Mathematics, Operator norm, Fuzzy logic, Norm (philosophy), Normed vector space, Bounded function, T-norm, Bounded operator