Abstract
For completeness, this closing chapter presents a short study of cardinalities of arbitrary, generally infinite fuzzy sets. Especially interesting in that case seem to be fuzzy cardinalities. We like to extend FGCounts, FLCounts, and FECounts to infinite fuzzy sets. This will carry new threads and properties and, consequently, will give the reader a deeper insight into the issue of cardinality under information imprecision. Among other things, questions related to the Continuum Hypothesis and axiomatic approaches to fuzzy cardinalities will be discussed. Finally, cardinalities of infinite interval-valued fuzzy sets and I-fuzzy sets will be defined, too.
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© 2013 Springer-Verlag Berlin Heidelberg
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Wygralak, M. (2013). Cardinalities of Infinite Fuzzy Sets. In: Intelligent Counting Under Information Imprecision. Studies in Fuzziness and Soft Computing, vol 292. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34685-9_11
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DOI: https://doi.org/10.1007/978-3-642-34685-9_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34684-2
Online ISBN: 978-3-642-34685-9
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