Stratified (L,M)-fuzzy quasi-uniform spaces

Authors:
S. E. Abbas
Affiliations:
Department of Mathematics, Faculty of Science, Sohag 82524, Egypt
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, we introduce the notions of stratified (L,M)-fuzzy quasi-uniform spaces and (L,M)-fuzzy quasi-uniform bases, where L and M are completely distributive lattice and complete residuated lattice, respectively. We investigate the images and preimages of (L,M)-fuzzy uniform base induced by maps. We study the relationships between the (L,M)-fuzzy quasi-uniform space and the stratification of it.