The connections between the properties of the mapping and approximation operators are discussed.
并讨论了映射的性质与近似算子性质之间的关系。
In this paper, interval structure of distributive BZ lattices and properties of rough approximation operators are discussed.
讨论了分配bz格的区间结构及其粗糙近似算子的性质。
In this paper, the approximation operators and the random sets, the best parts of the rough sets theory, are studied systematically.
本文对粗糙集理论中最基本的部分——近似算子及随机集进行了较系统的探讨。
The upper approximation and the lower approximation operators are defined in incomplete information system. Furthermore, some related properties are discussed.
定义了一种不完备信息系统的上、下近似算子，得到了一些相关的性质。
A method to construct a kind of combinatorial linear approximation operators is given and some linear operators which have special approximation properties are obtained.
给出一种构造组合线性逼近算子的方法。由此可得到具有特殊逼近性质的线性算子。
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.
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 upper rough equal, the lower rough equal based on the random sets are used to express upper approximation operators and the lower approximation operators based on the random sets.
用基于随机集的上粗相等、下粗相等来表示随机上近似算子、随机下近似算子。
In addition, on the direct product of rings, the approximation operators are introduced by using the direct product of fuzzy ideals and the relevant properties of approximation operators are derived.
另外，本文在环的直积结构上通过模糊理想的直积诱导近似算子，对相关近似算子的性质进行了研究。
In this paper, the quantitative theorems on the approximation by multidimensional convolution operators are established.
本文建立了具有正核的多维卷积算子逼近的量化定理。
In particular, the highest approximation order is higher than other obtained summation operators.
特别地，新算子的最高逼近阶明显高于目前已有的求和算子。
Approximation and recovery of band-limited functions from shift-invariant operators is studied.
给出了有限频带函数利用平移不变算子的逼近与恢复。
This paper gives a class of approximation identity operators on the integer domain of a local field, and a theorem on estimates of their approximation degree.
本文在局部域的整数环上给出了一类逼近恒同核和关于它们的逼近阶估计的定理。
Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes pseudo-complemented ms algebra if proper complement operators are selected.
借助近似代数上的原子及同余关系，证明了在适当选取余运算之后，粗集代数就构成伪补MS代数。
The approximation estimates of spherical functions by linder operators are given.
给出了线性算子逼近球面函数的逼近阶。
In this paper, a class of mixed exponential type integral operators are considered and the equivalent theorems of the characterization of approximation rate are given.
主要讨论了一类混合指数型算子的一致逼近问题，并给出了逼近阶的估计和特征刻划。
Using the modulus of smoothness and K-functional, direct and inverse theorems of simultaneous approximation for a kind of multivariate trigonometric polynomial operators are established.
利用光滑模和K -泛函给出了一类多元三角多项式算子同时逼近的正逆定理。
The author gave a reverse theorem of uniform approximation for the combination Gauss-Weierstrass operators on a class of functions.
对于一类函数给出了Gauss -Weierstrass算子线性组合一致逼近的定理。
Weighted approximation by a class of linear combinations of Bernstein type operators;
给出了一类多元线性正算子线性组合在一致逼近意义下的特征刻划。
Weighted approximation by a class of linear combinations of Bernstein type operators;
给出了一类多元线性正算子线性组合在一致逼近意义下的特征刻划。
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