فهرست نشریات علمی دسترسی آزاد ایران

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.