On fuzzy pseudo-metric spaces
This paper attempts to endow the fuzzy pseudo-metric in the sense of George and Veeramani with many-valued topological structures. It is shown that George and Veeramani's fuzzy pseudo-metric can be characterized by a family of compatible ordinary pseudo-metrics called pseudo-metric chain in this paper. Then, two kinds of many-valued topological structures-fuzzifying topology and fuzzifying uniformity-are generated by this fuzzy pseudo-metric, and their properties are also investigated. (C) 2009 Elsevier B.V. All rights reserved.
fuzzy pseudo-metric generalized neighborhood system fuzzifying topology fuzzifying uniformity