ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL VECTOR SPACES

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. ۵ (۴) (۱۹۸۵) ۸۷-۹۴] 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.

کلیدواژه ها:

I-topological vector spaces ، Generalized locally bounded I-topological vector spaces ، Family of generalized fuzzy quasi-norms