Article ID Journal Published Year Pages File Type
390454 Fuzzy Sets and Systems 2010 12 Pages PDF
Abstract

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.

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Physical Sciences and Engineering Computer Science Artificial Intelligence