The bicompletion of fuzzy quasi-metric spaces
Extending the well-known result that every fuzzy metric space, in the sense of Kramosil and Michalek, has a completion which is unique up to isometry, we show that every KM-fuzzy quasi-metric space has a bicompletion which is unique up to isometry, and deduce that for each KM-fuzzy quasi-metric space, the completion of its induced fuzzy metric space coincides with the fuzzy metric space induced by its bicompletion. (C) 2010 Elsevier B.V. All rights reserved.
bicomplete bicomplete fuzzy quasi-metric isometry bicompletion