Abstract
We show that two probabilistic interpretations of fuzzy sets via random sets and large deviation principles have a common feature: they regard the fuzzy set as a depth function of a random object. Conversely, some depth functions in the literature can be regarded as the fuzzy sets of central points of appropriately chosen random sets.
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Terán, P. (2010). Connections between Statistical Depth Functions and Fuzzy Sets. In: Borgelt, C., et al. Combining Soft Computing and Statistical Methods in Data Analysis. Advances in Intelligent and Soft Computing, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14746-3_75
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DOI: https://doi.org/10.1007/978-3-642-14746-3_75
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14745-6
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