Connections between statistical depth functions and fuzzy sets

P. Terán (2010). In: Combining Soft Computing and Statistical Methods in Data Analysis (C.Borgelt et al., editors), 611--618. Springer, Berlin.

[Proceedings of the 5th Intl. Conf. on Soft Methods in Statistics and Probability]
[Invited session Probabilistic aspects of fuzzy sets]


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.


Up the line:
·Centrality as a gradual notion: a new bridge between Fuzzy Sets and Statistics (submitted)

Down the line:
Subsequent work will be typed somewhere in time.


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