Title of article :
GRADED DIUNIFORMITIES
Author/Authors :
Ekmekci, Ramazan Department of Mathematics - Canakkale Onsekiz Mart University, Canakkale, TURKEY , Erturk, Rza Department of Mathematics - Hacettepe University, Ankara, TURKEY
Abstract :
Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander Sostak ˇ
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.
Keywords :
Texture , Graded ditopology , Graded diuniformity , fuzzy topology
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)