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Distances between fuzzy sets representing grey level images. (English) Zbl 0944.68190

Summary: The authors wish to present a class of mathematical functions that can be used to calculate the distance between fuzzy sets. Essential is that this distance is given by a semi-pseudometric, i.e., the triangle inequality is not fulfilled. The relation to the ordinary pseudometrics is explained. Also, some theoretical examples are provided.

MSC:

68U10 Computing methodologies for image processing
68T10 Pattern recognition, speech recognition
54A40 Fuzzy topology
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References:

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