Abstract
In this section we shall introduce two convergences in the graphical sense, i.e., convergences in the graphical Kuratowski—Mosco sense and in the graphical Hausdorff sense. When we discuss the convergence in the Hausdorff metric we may assume that the basic space X is only a metric space. When we discuss the Kuratowski—Mosco convergence we have to assume that the basic space X is a Banach space since it is related to weakly convergence. Thus we shall state that X is a metric space or a Banach space, respectively, in the following theorems.
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© 2002 Springer Science+Business Media Dordrecht
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Li, S., Ogura, Y., Kreinovich, V. (2002). Convergences in the Graphical Sense for Fuzzy Set-Valued Random Variables. In: Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables. Theory and Decision Library, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9932-0_7
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DOI: https://doi.org/10.1007/978-94-015-9932-0_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6139-3
Online ISBN: 978-94-015-9932-0
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