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2014•Thai Journal of MathematicsOpen access

Some Limit Theorems for Independent Fuzzy Random Variables

Hamed Ahmadzade, Mohammad Amini, S. Mahmoud Taheri, A. Bozorgnia

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Abstract

In this paper, based on two different approaches, some limit theorems are obtained for independent fuzzy random variables. Specially, as a direct extension of classical methods, we establish a strong convergence theorem for sums of independent fuzzy random variables based on the concept of variance. The main results are explained by using a couple of examples.

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What this paper is about

In this paper, based on two different approaches, some limit theorems are obtained for independent fuzzy random variables. Specially, as a direct extension of classical methods, we establish a strong convergence theorem for sums of independent fuzzy random variables based on the concept of variance. The main results are explained by using a couple of examples.

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Available abstract

In this paper, based on two different approaches, some limit theorems are obtained for independent fuzzy random variables. Specially, as a direct extension of classical methods, we establish a strong convergence theorem for sums of independent fuzzy random variables based on the concept of variance. The main results are explained by using a couple of examples.

Key concepts: Mathematics, Convergence of random variables, Random variable, Central limit theorem, Limit (mathematics), Exchangeable random variables, Extension (predicate logic), Fuzzy logic

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