Lattice properties of neighbourhood systems in Chang fuzzy topological spaces (Q1824887)

The first part of the paper deals with the approaches to fuzzy topology by neibourhood systems of Kerre, Pu and Liu and Mashhour et al. The three approaches are linked together; for instance, the authors are able to obtain Mashhour neighbourhoods in terms of the Kerre one and vice versa. In the second part the different approaches as stated above are envisaged from a lattice theoretical point of view. Remarkable completeness properties are derived. Finally, the conditionally closed and the surjective fuzzy topological spaces are introduced to fill the gap partly between Lowen fuzzy topological spaces and the Chang one.