Estimation of the Hidden Parameters for the Distribution of Special Fuzzy Random Variables
The distribution of a fuzzy random variable is a probability measure. We consider the problem of estimation of the hidden fuzzy parameter in a probability measure. By means of support function, the collection of all fuzzy data can be embedded into a convex cone of Hilbert space. We consider a possible point estimation method for the distribution of LR-fuzzy data by employing multivariate distribution functions as well as fuzzy sets approximation.
AMS Subject Classification62F86 52A22 03E72
KeywordsPoint estimation Fuzzy random variables Support function
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- Möller, B., Graf, W., Beer, M., Sickert, J-U., 2002. Fuzzy randomness — Towards a new modeling of uncertainty. Proceedings of Fifth World Congress on Computational Mechanics, July 7–12, 2002, pp. 1–10, Vienna, Austria.Google Scholar