Authors: Janíš, Vladimír
Tepavčević, Andreja 
Title: Distance generated by a fuzzy compatibility
Journal: Indian Journal of Pure and Applied Mathematics
Volume: 35
Issue: 6
First page: 737
Last page: 745
Issue Date: 1-Jan-2004
Rank: M23
ISSN: 0019-5588
Our three-dimensional Euclidean space is an example of a common existence of crisp and fuzzy structures. Although we have a crisp distance available, the notion of nearness also makes sense. More precisely, it is possible to distinguish at least two levels of fuzzy structures: nearness of points (that is connected to our perception) and our expressions about the points (that is connected to the language we use). This is a motivation for our work that studies a kind of fuzzy metric based on a given crisp one. The topology naturally induced by this metric is also investigated.
Keywords: Fuzzy Compatibility | Fuzzy Topology | Metric
Publisher: Springer Link

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