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Limit Theorems for Sums of Random Fuzzy Sets

✍ Scribed by Marco Dozzi; Ely Merzbach; Volker Schmidt

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 100 KB
Volume: 259
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7428

No coin nor oath required. For personal study only.

✦ Synopsis

We consider limit theorems for counting processes generated by Minkowski sums of random fuzzy sets. Using support functions, we prove almost-sure convergence for a renewal process indexed by fuzzy sets in an inner-product vector space. We also get convergence for the associated containment renewal function.

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