After analyzing, this paper proposes a new method to determine the ordering vector of fuzzy complementary matrix, and the new method can be used by a formula when decision makers give positive reciprocal matrices.
通过分析研究，论文提出一种确定模糊互补判断矩阵排序向量的新方法，通过转化公式，新排序方法可以应用于决策者给出正互反判断矩阵的情况。
By combining the weight vector of all the attributes and the large group preference matrix, an integration evaluation value vector of all the schemes is obtained. From the integration evaluation values in this vector, the ordering result of each scheme is got. The methood solves the problem of multi-attributes and multi-schemes large group decision making better.
将各个属性权重向量和大群体偏好矩阵进行合成，获得各个方案的综合评价值向量，由该向量中的综合评价值得出各方案的综合排序结果，较好地解决了多属性多方案大群体决策问题。
Therefore, the author improve the construction of SEA by reference various countries` good and bad points; Moreover, Taiwan SEA uses the matrix form in the regulations, hence we suggest 「Budget Act」and 「Regulations for Preparing Central Government Medium-Term Planning Budget」not only analyze the cost benefit of project but also analyze the environment cost analysis; SEA integrate with cost-benefit analysis again, using matrix form of SEA and cost-benefit analysis of budget mean to help policymaker making decision, improve present SEA system, and achieved sustainable development and Precautionary principle.
因此，作者思考将政策环评的架构，参考各国政策环评之优缺点改善建议台湾的政策环评制度；另外，我国政策环评在法规上只使用矩阵式，故建议预算法及中央政府中程计画预算编制办法中除分析工程上之成本效益，更应该分析环境成本分析；政策环评重新与成本效益分析结合，利用政策环评之矩阵式和预算法之成本效益分析作为辅助决策者做决策之参考，改善现行政策环评制度，以达到永续发展、预防原则的目标。
The dominant eigenvalue λof such a matrix gives a measure of the decision-maker`s consistency, the consistency index being defined aswhere n is the order of the matrix.
主要特征这种矩阵给予一定程度的决策者's一致性一致性指数被定义为n是秩序的基质。
Basing on this, we introduce an evaluation framework further, which can evaluate all methods in any step of obtaining the priority vector from a semantic scale gradation matrix given by decision makers.
在此基础上，进一步建立了一个评估框架，该框架把决策者给出初始语义标度等级矩阵到最终获取权向量的过程分解成标度编码，数据处理，标度解码三部分，应用这一框架就能系统的对获取权向量每个步骤及其对应的大量方法进行比较评估。
A traceability matrix is effectively a document and is therefore a business decision to be made by project stakeholders.
跟踪矩阵是有效的文件，并进而是项目干系人做出的业务决策。
Evaluation and decision-making of conceptual design schemes are significant. Research has shown that in the use of the traditional decision-making matrix based on weights, the decision maker must subjectively identify the physically meaningless weights. To solve the problem, a linear physical programming decision-making model presented by Messac is applied to the evaluation and decisionaccount, of excavator concepts. When bucket content, speed and engine power are merely taken into account, based on the desirable ranges of each criterion, the weights are automatically calculated by the LPP weight algorithm, and schemes are evaluated by comparing the values of aggressive objective functions.
概念设计方案的评价和决策至关重要，研究表明，传统基于权重的决策矩阵法的一个最主要缺陷是决策者需主观确定无实际物理意义的权值，为此采用Messac提出的线性物理规划决策模型进行挖掘机概念设计方案的评价和决策，从而可有效避免权值确定的主观性，当仅考虑铲斗容量、行进速度及发动机功率3个设计目标时，在给定各满意程度区间边界值的基础上，由线性物理规划权值算法自动计算权值，并通过计算综合目标函数值比较了各方案的优劣，应用实例证明了基于线性物理规划决策模型的有效性和实用性。
For the efficient attribute reduction of dynamic decision table, the incremental algorithm for attribute reduction based on discernibility matrix and reduction tree is proposed. This method builds reduction tree according to sequential attribute reduction algorithm, calculates discernibility vector of new object, and revises reduction tree according to discernibility vector. Thereby attribute reduction cluster of new decision table can be abtained quickly, finally the validity of the algorithm is proved by examples.
为了对动态变化的决策表进行高效属性约简处理，在改进的分辨矩阵的基础上提出一种基于约简树的增量式属性约简算法IRART，该算法首先根据序贯属性约简算法对原决策表构造约简树，然后求出新增对象的分辨向量，并利用此向量对约简树进行修整，从而快速得到新决策表的所有约简，最后通过示例证明了这种算法的有效性。
Finally, the article introduced several commonly used risk decision-making evaluation method, and introduced the process of how to construct the Rough synthetic evaluation matrix based on the Rough Set theory and the Fuzzy appraisal theory as well as theapplication in detail.
最后，介绍了常用的几种风险决策评价方法，详细介绍了基于Rough集理论和模糊评价理论的Rough集综合评价矩阵的构造过程以及应用。
In this paper, we firstly use CML, standing for Class Matrix List, to collect only just enough information to derive the best splitting criterion. Secondly, each numerical attribute range is partitioned into proper intervals. Based on special properties of the gini index values on numerical attributes, we only need identify the interval with the maximum gini index gradient, and can quickly determine the best splitting point, which turns fast decision tree construction into reality.
本文首先采用数据结构CML收集计算最佳分裂标准仅需的信息；其次，将数值型的属性值分成适当的区间，根据它们gini index值的特殊性质，只需确定具有最大gini index梯度的区间，因而可以快速地计算最佳分裂点，实现在流数据上快速建立决策树。
In this sense, the decision tree method is less effective than the strategic matrix method.
从这个意义上来说，决策树法不如策略距阵法有效。
A mathematical model for magnetic conversion after magnetic measuring that combines the dot matrix Large-scale Area method and the magnetic charges arithmetic is established in the example. The mathematical principle, calculation methods of magnetic function and parameters decision of the model are discussed. The simulation results demonstrate that the model is of high precision.
实例结合点阵式大平面测磁法和磁荷模拟算法建立了测磁后舰艇磁场换算的数学模型，简单论述了该模型的数学原理、磁场函数计算方法及具体应用中有关参数的确定方法等，并对计算精度作了分析，仿真结果表明模型精度较高。
This paper is based on XX research institute, planning and decision-making patterns of use of the decision-making process, using PEST analysis, SWOT analysis, TOWS Matrix and GE screening model, and other related business strategy with the theories and methods, XX research institute of the existing problems to analyze and study.
本文以转制型科技企业XX研究所为研究对象，运用规划决策模式的决策过程，采用PEST分析、SWOT战略形势分析法、TOWS战略方案生成矩阵和GE业务筛选模型等相关战略研究的理论和方法，对XX研究所目前存在的问题进行分析研究。
So it is no good to make business portfolio decision only depending on the conclusion of BCG matrix approach.
因此，不能单纯依据波士顿矩阵法的结论进行业务投资组合决策。
The adoption of the decision feedback type may reduce the length of the data block, so that an algorithm of a simplified Cholesky matrix resolution is used.
采用判决反馈的形式，可以减小数据块长度，进而采用一种简化的Cholesky矩阵分解的算法。
It draws grey hierarchical evaluation method into anti-helicopter intelligent mine warhead's overall efficiency. In fixing sample matrix, it presents the method which effect function value of all the performance index take the place of decision-maker's mark and takes sample matrix to have reliability and science. Problems of overall efficiency evaluation of anti-helicopter smart mine Warheads are discussed, where techniques on artificial neural networks are used. The evaluation model and algorithm of neural network have keen given out. By comparing the evaluation result on method of hierarchical TOPSIS with the evaluation result on method of neural network, the evaluation results show the evaluation result based on neural network has less dependence on the subjectivity of decision-maker. The paper makes use of the theory of Grey system forecast to resolve the problem of ammunition and rocket system development cost evaluation, establishing the GM model of Grey systems and cumulative residual error model, then correcting the GM forecast model.
给出了反直升机智能雷战斗部总体效能的评价体系，对各种评价方法进行了分析，在TOPSIS方法中引入层次结构的概念，提出了适用于智能雷战斗部总体效能评价的层次TOPSIS评价方法，采用效用函数法进行指标值的统一量化，并给出了权向量的计算方法；引入了灰色层次评估法对反直升机智能雷战斗部总体效能进行评估，在确定样本矩阵方面，本文提出了用性能指标的效用函数值取代由评估者评分的方法，使得样本矩阵更具有可靠性和科学性；应用人工神经网络技术解决反直升机智能雷战斗部系统总体效能评价问题进行了探讨，给出了神经网络评价模型和算法，对层次TOPSIS法评价结果与神经网络评价结果进行比较，结果表明神经网络的评价结果受决策者的主观性影响较小。
The systems analysis in anti-helicopter intelligent mine is studied. The evaluation system on anti-helicopter smart mine warhead's overall efficiency is presented in the dissertation. All kinds of evaluation methods have been analyzed. By drawing the concept of hierarchical structure into the method of TOPSIS an evaluation method, known as hierarchical TOPSIS, has been put forward which is suitable for the overall efficiency evaluation of smart mine warheads. By use of the method of effect function, all the index values have been quantitized uniformly, and the computational method on the weight vectors has also been given out. It draws grey hierarchical evaluation method into anti-helicopter intelligent mine warhead's overall efficiency. In fixing sample matrix, it presents the method which effect function value of all the performance index take the place of decision-maker's mark and takes sample matrix to have reliability and science. Problems of overall efficiency evaluation of anti-helicopter smart mine Warheads are discussed, where techniques on artificial neural networks are used. The evaluation model and algorithm of neural network have keen given out. By comparing the evaluation result on method of hierarchical TOPSIS with the evaluation result on method of neural network, the evaluation results show the evaluation result based on neural network has less dependence on the subjectivity of decision-maker.
给出了反直升机智能雷战斗部总体效能的评价体系，对各种评价方法进行了分析，在TOPSIS方法中引入层次结构的概念，提出了适用于智能雷战斗部总体效能评价的层次TOPSIS评价方法，采用效用函数法进行指标值的统一量化，并给出了权向量的计算方法；引入了灰色层次评估法对反直升机智能雷战斗部总体效能进行评估，在确定样本矩阵方面，本文提出了用性能指标的效用函数值取代由评估者评分的方法，使得样本矩阵更具有可靠性和科学性；应用人工神经网络技术解决反直升机智能雷战斗部系统总体效能评价问题进行了探讨，给出了神经网络评价模型和算法，对层次TOPSIS法评价结果与神经网络评价结果进行比较，结果表明神经网络的评价结果受决策者的主观性影响较小。
However, the enormous number of states makes the inverse of the transition probability matrix (which is of size 9×108) computation-prohibitive and thus complicates the application of policy iteration method in the context of Markov Decision Process to solve our problem.
然而，此一庞大的状态数目使得转置机率的反矩阵(其大小为 9×108)无法计算出来，也因此复杂化了应用马可夫决策过程中的「策略叠代法」(policy-iteration method)来解决我们的问题。
Group decision making; fuzzy judgement matrix; OWA aggregation operators; alternative selection
群决策；模糊判断矩阵； OWA算子；方案优选
Because the values of all criteria are numeric for a quantitative multi attribute decision making, it is difficult to construct the judgement matrix of each criterion by 9-scale method, which has limited the application of analytic hierarchy process in this field.
由于定量型多目标决策的各指标值均为数量，因而按9标度法建立各指标下的判断矩阵就很困难，限制了层次分析法在这一领域的运用。