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Strong laws of large numbers for t-norm-based addition of fuzzy set-valued random variables

机译：基于t范数的模糊集值随机变量相加的强大数定律

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This paper proposes a convergence theorem of fuzzy set-valued random variables under addition which is given by the general triangular normed extension principles. Applying the result with the known results of the various types for strong laws of large numbers of fuzzy set-valued random variables, we obtain a few interesting results of the strong laws of large numbers for triangular norm-based addition of fuzzy set-valued random variables. The finding of Teran [Strong law of large numbers for r-normed arithmetics. Fuzzy Sets and Systems 159 (2008) 343-360] is a special case of our results.
机译：提出了一般三角赋范可拓原理给出的加法模糊集值随机变量的收敛定理。将结果与各种类型的已知结果用于大量模糊集值随机变量的强定律相结合，我们获得了一些有趣的结果，这些大量定律适用于基于三角范数的模糊集值随机数的加法变量。 Teran [r赋范数的强大数定律。 Fuzzy Sets and Systems 159（2008）343-360]是我们结果的特例。

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