An individual ergodic theorem for random fuzzy sets.
Ban, J., Rozenberg, R. (1993)
Mathematica Pannonica
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Ban, J., Rozenberg, R. (1993)
Mathematica Pannonica
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Dug Hun Hong (2003)
Kybernetika
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In this paper, a general convergence theorem of fuzzy random variables is considered. Using this result, we can easily prove the recent result of Joo et al, which gives generalization of a strong law of large numbers for sums of stationary and ergodic processes to the case of fuzzy random variables. We also generalize the recent result of Kim, which is a strong law of large numbers for sums of levelwise independent and levelwise identically distributed fuzzy random variables. ...
María Asunción Lubiano, María Angeles Gil, Miguel López-Díaz (1999)
Kybernetika
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In a previous paper, conditions have been given to compute iterated expectations of fuzzy random variables, irrespectively of the order of integration. In another previous paper, a generalized real-valued measure to quantify the absolute variation of a fuzzy random variable with respect to its expected value have been introduced and analyzed. In the present paper we combine the conditions and generalized measure above to state an extension of the basic Rao–Blackwell Theorem. An application...
Marek T. Malinowski (2011)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we consider the random fuzzy differential equations and show their application by an example. Under suitable conditions the Peano type theorem on existence of solutions is proved. For our purposes, a notion of ε-solution is exploited.
Mila Stojaković, Ljiljana Gajić (1994)
The Yugoslav Journal of Operations Research
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Dug Hun Hong, Kyung Tae Kim (2007)
Kybernetika
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In this paper, weak laws of large numbers for sum of independent and identically distributed fuzzy random variables are obtained.
Hamed Ahmadzade, Mohammad Amini, Seyed Mahmoud Taheri, Abolghasem Bozorgnia (2016)
Kybernetika
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Some maximal inequalities for quadratic forms of independent and linearly negative quadrant dependent fuzzy random variables are established. Strong convergence of such quadratic forms are proved based on the martingale theory. A weak law of large numbers for linearly negative quadrant dependent fuzzy random variables is stated and proved.