For a non-empty set I, the sub-defect of an I×I doubly substochastic matrix A=[aij]i,j∈I, denoted by sd(A), is the smallest cardinal number α for which there is a set J with card(J)=α, I∩J=∅, ...

中文翻译：

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I×I 有限子缺陷矩阵乘积的子缺陷


对于非空集合 I，I×I 双次随机矩阵 A=[aij]i,j∈I 的子缺陷，记为 sd(A)，是存在集合的最小基数 α J 有卡(J)=α, I∩J=∅, ...