IRANIAN JOURNAL OF FUZZY SYSTEMS, vol.14, no.3, pp.83-103, 2017 (SCI-Expanded)
Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander Sostak. in [7]. In this paper, the authors generalize the structure of diuniformity in ditopological texture spaces defined in [13] to the graded ditopological texture spaces and investigate graded ditopologies generated by graded diuniformities. The autors also compare the properties of diuniformities and graded diuniformities.