Abstract

The relationship between probability measures and /spl lambda/-additive fuzzy measures is used to give the definition of the product measures of /spl lambda/-additive fuzzy measures and Fubini's theorem is discussed. A Lebesgue decomposition-like theorem, Kolmogorov's zero-one law and the important Borel-Cantelli lemma for /spl lambda/-additive fuzzy measures are established.

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