广义 Fuzzy 测度的穷竭性、序连续性和 Jordan 分解

On Exhaustibility,Order Continuity and Jordan Decomposition of Signed Fuzzy Measures

证明了广义Ｆｕｚｚｙ测度的穷竭性和序连续性是等价的。并在零零可加条件下证明了广义Ｆｕｚｚｙ测度Ｊｏｒｄａｎ分解的存在性，又在零可加条件下证明了Ｊｏｒｄａｎ分解的唯一性。

The equivalence of exhaustibility and order continuity of signed fuzzy measure is proved.The existence of Jordan decomposition of signed measures is proved under the null null additive condition,and the uniqueness of decomposition is also proved under the null additive condition.