on local boundedness of i-topological vector spaces
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abstract
the notion of generalized locally bounded $i$-topological vectorspaces is introduced. some of their important properties arestudied. the relationship between this kind of spaces and thelocally bounded $i$-topological vector spaces introduced by wu andfang [boundedness and locally bounded fuzzy topological vectorspaces, fuzzy math. 5 (4) (1985) 87$-$94] is discussed. moreover, wealso use the family of generalized fuzzy quasi-norms to characterizethe generalized locally bounded $i$-topological vector spaces, andgive some applications of this characterization.
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Journal title:
iranian journal of fuzzy systemsPublisher: university of sistan and baluchestan
ISSN 1735-0654
volume 9
issue 5 2012
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