family of sets meaning in English

集合族
子集族

A new infinite family of set - valued variational inequalitiy
一类新的无限簇集值变分不等式
For the computation of the minimal covers of a family of sets , we propose several theorems to describe the principle , and develop corresponding algorithm elaborately
而对于族集最小覆盖集的计算问题，本文则提出了若干个定理刻画了其计算方法的原理并予以正确性证明，并精心设计了相应的算法。
2 ) based on the invariability ( or approximate invariability ) of function value , we give out the definitions of intent reduct ( or approximate intent reduct ) and intent core ( or approximate intent core ) of concept node , investigate their properties in detail , and prove that the problems of computing them can be transformed into the problem of computing the minimal cover of a family of sets
2 ）在函数取值不变性（或近似不变性）的基础上，提出了概念节点的内涵缩减（或近似内涵缩减）和内涵核（或近似内涵核）的概念，详细地研究了它们的性质，证明了它们的计算问题都可以等价地转化为族集最小覆盖集的计算问题。