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

作　　者：张强[1] 蒲云[1] 杜文[1] 

机构地区：[1]西南交通大学运输工程系

出　　处：《西南交通大学学报》1998年第3期240-246,共7页Journal of Southwest Jiaotong University

摘　　要：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.

关 键 词：模糊测度 连续性 穷竭性 零零可加性 JORDAN分解 

分 类 号：O159[理学—数学]