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Erschienen in:
2017 | OriginalPaper | Buchkapitel
Measuring the Dissimilarity Between the Distributions of Two Random Fuzzy Numbers
verfasst von : María Asunción Lubiano, María Ángeles Gil, Beatriz Sinova, María Rosa Casals, María Teresa López
Erschienen in: Soft Methods for Data Science
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Abstract
In a previous paper the fuzzy characterizing function of a random fuzzy number was introduced as an extension of the moment generating function of a real-valued random variable. Properties of the fuzzy characterizing function have been examined, among them, the crucial one proving that it unequivocally determines the distribution of a random fuzzy number in a neighborhood of 0. This property suggests to consider the empirical fuzzy characterizing function as a tool to measure the dissimilarity between the distributions of two random fuzzy numbers, and its expected descriptive potentiality is illustrated by means of a real-life example.