对同态映射下环中近似集合的变化规律进行了讨论，得到了粗糙子环、粗糙理想同态象的若干性质。
The properties of the homomorphic images of rough subrings and rough ideals are obtained by discussing the variation of approximation operators under homomorphic mapping in the ring.
此外，该算法采用近似集合中的高斯距离比例来表现样本权重，从而可以在多种数据分布上得到更精确的聚类结果。
Furthermore, the self-adaptive weights arc obtained from the Gaussian distance ration in cluster approximation, which can lead to the more accurate clustering results.
本文主要探讨了基于模糊集合理论的不确定知识表示和近似推理方法。
The main issues addressed are uncertain knowledge representation and approximate reasoning based on fuzzy set theory.
提出了集合覆盖问题的一种随机近似算法。
This thesis proposes a randomized approximation algorithm for the Set Cover problem.
用集合近似邻域为手段，研究了知识论域拓扑空间，得出了一些重要结论。
The knowledge universe topology Spaces are studied by set approximate neighbourhood, and many important conclusions are achieved.
目前，人们对广义粗糙集的研究主要集中在集合的近似计算上，而真正利用广义粗糙集进行属性约简的研究还很少见。
The existing researches on generalized rough sets are mainly concentrated on set approximations; less effort has been made for attribute reduction.
用集合的近似凸性研究函数的拟凸性。在较弱假设下，获得了拟凸性的一些等价条件。
Quasiconvex functions are studied by applying nearly convexity of sets. Under weaker assumptions, some equivalent conditions for quasiconvexity are derived.
用集合的近似凸性研究函数的预不变凸性，在较弱的假设下获得了预不变凸性的一些等价条件。
Preconvex functions are studied by applying nearly convexity of sets in this paper. Under weaker assumptions, some equivalent conditions for preconvexity are derived.
用集合的近似凸性研究函数的拟凸性。
Quasiconvex functions are studied by applying nearly convexity of sets.
利用该平面坐标网二叉树，把平面中的网格点一一映射到一个整数集合上，从而可以把平面中的任意点近似地映射为一个整数，而且可以任意精确，对任意平面图形图象的处理、储存和传输起着极其重要的作用。
The net points of a plane can be mapped onto a set of integers in a one to one way based on the tree, so can any point of a plane be approximately mapped onto an integer with arbitrary accuracy.
利用集合的稠密性和弱近似凸性，进一步刻画函数的预不变凸性。
We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
梁的作用是使颗粒的集合体具有与初始对象近似的强度性质。
The aggregate of particles had the similar strength to the initial media because of the action of beams.
梁的作用是使颗粒的集合体具有与初始对象近似的强度性质。
The aggregate of particles had the similar strength to the initial media because of the action of beams.
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