We introduce a space of functions which can be interpreted as a similarity-based approach to fuzzy metric spaces. The triangle inequality we propose is defined by means of a fuzzy ordering. We compare the introduced space with fuzzy metric spaces in the sense of Seikkala and Kaleva. Finally we complete the work discovering the corresponding classical as well as fuzzy topologies.
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Publication date: 18 April 2017 Source: Cell Reports, Volume 19, Issue 3 Author(s): David Estoppey, Chia Min Lee, Marco Janoschke, Boon He...
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