给出了一类凸模糊集的表示定理。
We investigate the representation theorems of convex fuzzy sets.
方法：使用基于模糊集的定性比较方法。
Methods: This article USES the qualitative comparison analysis based on Fuzzy-set method.
而模糊集理论却能用来描述事物的模糊性。
每个等级都有其对应的由隶属度构成的模糊集。
Each grade has its corresponding fuzzy set of the membership.
根据模糊集理论，提出水质模糊评价理论与计算模型。
The theory and applied model for assessment of water quality were presented based on fuzzy sets.
用幂函数构成的模糊集满足测量准则，使模糊集理论更完善。
The fuzzy set constituted by power function satisfies measure rule, and perfects the fuzzy theory.
提出了一个基于模糊集理论的新的神经网络结构及其学习算法。
This paper presents a novel neural network architecture based on fuzzy set theory, FIBP.
模糊聚类、识别与优选是系统优化模糊集分析理论的数学基础。
The theory of fuzzy cluster, recognition and optimum decision is the mathematical basis of optimum fuzzy set of system.
基于模糊集理论的多传感器数据融合，应用模糊集理论处理数据。
Based on fuzzy set theory, the multi-sensor data amalgamation adopted fuzzy set theory to deal with data.
采用模糊集理论建立了适应度函数，并对装配序列进行评价和优化。
Then, fitness function was built according to fuzzy set theory and assembly sequence was evaluated and optimized.
本文提出一种应用模糊集理论处理实际问题时选取交、并算子的方法。
In this paper, we introduce an approach to selecting operators for the intersection and the union of fuzzy subsets.
根据广义模糊集理论，提出了用于DICOM数据的动态边界检测算法。
According to theory of generalized fuzzy sets, the dynamic edge detection algorithm of DICOM Data was given.
利用模糊集的平移，研究了模糊仿射空间和模糊向量子空间的相互关系。
The relations of a fuzzy affine space and a fuzzy subspace are investigated by using a translation of fuzzy set.
型模糊集的模糊度和贴近度在模糊推理和模糊模式识别中有重要应用价值。
The fuzzy measure and compatibility of fuzzy sets of type O have importantapplied values in fuzzy reasoning and fuzzy pattern recognition.
网络的输入输出均为模糊集，训练后的网络能完成合成关系，即模糊推理。
The input and output of the network are fuzzy sets, and the network can complete composite relation after training, namely fuzzy reasoning.
讨论了利用模糊集的下近似和上近似定义的模糊测度和概率模糊测度的关系。
We discuss the relation between fuzzy measure defined by lower approximation and upper approximation of fuzzy set and probability fuzzy measures.
对于两个模糊集的排序问题，模糊效用函数自动退化为相应的模糊优先关系。
When there exist only two fuzzy sets, the fuzzy utility functions are reduced automatically to corresponding fuzzy preference relations.
文章类似于一般拟阵的基公理讨论模糊集族构成模糊基集所要满足的一些条件。
We investigate some conditions that fuzzy subsets make up of fuzzy bases to be similar to the base axiom.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
考虑到约束条件的模糊性，应用遗传算法和模糊集原理对钢桁架结构进行了优化分析。
This paper optimizes the steel truss structures by taking into account the fuzziness of constraints and employing GA and the fuzzy set theory.
本文将模糊集理论应用于遥感图像的分类中，研究了模糊集理论在遥感图像分类中的应用。
In this paper, fuzzy sets theory was applied in classification of remote sensing image, classification of remote sensing image was researched.
可变模糊集方法以可变模糊集理论为基础，通过模型参数的变化，提高评价结果的可靠性。
Variable fuzzy sets methods are based on variable fuzzy sets theory. Through variability of model parameters, the reliability of evaluation could be enhanced.
粗糙集理论是继概率论、模糊集、证据理论之后的又一个处理不确定性问题的新型数学工具。
Rough set theory is a new mathematical tool to deal with vagueness and Uncertainty problem after probability theory, fuzzy sets, mathematical theory of evidence.
当知识库中的知识模块既是模糊的又是随机得到的，我们定义了基于随机模糊集的粗糙集模型。
As knowledge block in knowledge base is fuzzy and is obtained randomly, we study the rough set model based on random fuzzy rough sets.
把模糊数学的知识应用到决策分析中，使模糊集参与决策，可以提高决策结果的准确性和可信度。
It can be explained, that if fuzzy math is applied into decision analysis by making fuzzy sets to participate in decision making, it can raise accuracy and reliability of the decision result.
把模糊数学的知识应用到决策分析中，使模糊集参与决策，可以提高决策结果的准确性和可信度。
It can be explained, that if fuzzy math is applied into decision analysis by making fuzzy sets to participate in decision making, it can raise accuracy and reliability of the decision result.
应用推荐