Abstract
Consider as starting point a soccer match of two different teams M 1and M 2 (compare [1]). In this situation three different outcomes are possible: Team M 1 wins (event {a}), team M 2 wins (event {b}) or the match ends in a draw (event x{c}). For none of the three outcomes it is possible to know the exact probabilities, therefore the probabilities are estimated (by using old results), or they are provided by experts. Because of the unavoidable uncertainties in the assessment of the probabilities, it seems to be more realistic to model this estimations by using fuzzy numbers, or, in the simplest case, using intervals.
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Trutschnig, W., Hareter, D. (2004). Fuzzy Probability Distributions. In: Soft Methodology and Random Information Systems. Advances in Soft Computing, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44465-7_49
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DOI: https://doi.org/10.1007/978-3-540-44465-7_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22264-4
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