基于层次分析和灰色理论的产品方案选择

目的解决多个评价指标在方案评价中的相互影响性。方法以电吹风为例,建立了多层次关联模型,采用层次分析法确定各层及相关指标的权重,运用灰色系统相关理论确定灰色关联系数矩阵,计算各方案的最终关联度,以此作为准则来综合评价方案的优劣。结果利用此方法,实现了对电吹风方案的综合评价。结论此方法可以定量地反映系统各个因素之间的相互作用、相互依赖关系,能全面地对设计方案的指标进行综合比较,并验证其在产品方案选择中的可行性。     

基于组合权重的灰色关联理想解法及其应用

引入灰色系统理论,对传统理想解法(TOPSIS)进行了拓展,提出了一种基于组合权重的灰色关联理想解法(GC-TOPSIS).利用AHP和熵值法对决策指标进行组合赋权,依据灰色关联分析理论,以灰色关联度为决策单元构造GC-TOPSIS模型,最后通过一个供应商选择的实例验证了方法的有效性和可行性.     

太原城区噪声污染分析和预测

利用灰色系统理论对太原市区域环境噪声变化的因素进行关联分析，找出优势因素；并运用灰色动态模型进行预测。证明这种方法具有简便，准确的特点。     

基于自适应滤波与灰色理论的动态测量不确定度评定

为提高重复动态测量数据的不确定度评定准确度,提出了一种基于自适应滤波与灰色关联分析理论的动态测量不确定度评定新方法.此方法不同于以往方法,将系统效应与随机效应引起的不确定度分开评定,最后将系统效应引起的不确定度与随机效应引起的不确定度进行合成,获得标准动态测量不确定度与扩展动态测量不确定度.经仿真实验分析,此方法具有较...     

一类灰色模糊决策问题的熵权分析方法

以灰色系统理论和模糊数学为基础，探讨了不确定型决策问题的特性，分析了一些相关成果中所给方法在直接处理灰色模糊数方面的优势与不足。运用优化理论和熵极大化准则，建立了基于灰色模糊关系的多属性群体决策方法，分别对属性权重向量已知和未知两种情况给出了简便实用的算法，通过算例说明了算法的合理性。     

灰色关联分析法在噪声评价中的应用

本文探讨了应用灰色系统理论中的关联分析法对环境噪声进行综合比较评价，并通过实例验证了该方法的可行性和有效性，从而为噪声评价提供了一种简单实用的新方法。     

绿色产品的群灰色关联分析评价方法研究

分析了绿色产品评价的特点,建立了群灰色关联分析评价方法.绿色产品评价的方法应体现绿色产品功能性、均衡性、差异性和广泛性的特点.通过把属性指标权重和评价者权重引入灰色关联分析,建立了群灰色关联分析方法,不但充分利用了评价指标的客观数据,而且综合考虑了属性指标和评价者之间的相对重要性.实验研究表明,该方法完全适用于绿色产品的评价,为类似绿色产品评价需体现功能性、均衡性、差异性和广泛性特点的多属性综合评价问题提供了一种有效的方法.     

基于多层次灰色关联法的污水厂选址决策模型

针对目前城市污水处理厂厂址选择中存在着较大的主观性和不确定性,以及影响因素的多指标、多层次的特点。将灰色关联分析法与层次分析法相结合,运用层次分析法确定评价指标权值,以各方案的综合灰色关联度作为评判准则,建立了厂址选择方案的层次分析灰色关联度耦合模型。将其运用于重庆市奉节公平镇污水处理厂厂址的选择,结果表明该方法克服了传统选址方法的缺点,是一种切实可行的选址决策方法。     

基于事故树和动态灰色关联方法的机坪事故人为因素分析研究

对机坪事故运用事故树进行定性分析后,再对引起基本事件的人为失误原因进行分类,最后利用动态灰色关联方法分析这些人为失误因素的影响程度。某机场实例研究得出,该机坪事故的人为失误主要原因为组织管理和个人原因。此研究得出的理论依据对完善和改进机坪安全管理有针对性的实用意义。     

基于灰色关联分析的动态测量不确定度评定

提出了一种基于灰色关联分析的动态测量不确定度评定新方法.该方法分析了灰色关联度和灰色关联系数与动态测量不确定度的关系,利用灰色关联度的倒数作为动态测量不确定度的扩展系数,测量数据总体灰色关联系数作为动态测量标准不确定度,并将其与其他因素导致的不确定度进行合成,作为动态测量不确定度的最终结果.该方法尤其适用于被测信号是时变信号的动态测量不确定度评定.经仿真实验与其他方法对比,方法具有计算量小、原理简单、易于在计算机上实现、不受数据分布限制、准确度高等特点.     

优势变精度粗糙集构建采矿方案评价体系的研究

影响采矿方案的因素错综复杂,为了建立科学合理的采矿方案评价体系,首先将影响因素进行分级,利用模糊数学确定各级影响因素的权重.由于噪声数据的存在,采用优势变精度粗糙集构建采矿方案评价体系,可以辨识规则间的不相容性,对条件属性进行约简,并生成最少偏好规则集,分类质量为100%.然后利用灰色关联度理论对约简后的属性进行优势分析,得到各属性对于方案的重要程度,完善采矿方案评价体系.研究结果表明：优势变精度粗糙集相对于经典粗糙集更具规则性,构建采矿方案评价体系是科学有效的.     

基于风险承受力的石油企业最优投资决策

通过引进风险承受力理念,改进Markowitz投资组合模型进行项目选择,辅以MAUT多属性分析技术作为财务、技术、环境、地质等因素的综合决策依据,并运用某石油企业的实际数据进行实证分析检验。研究将决策者对管理属性的风险承受力、相对重要性等因素加以综合考虑,通过建立决策分析与投资组合管理之间的联系,提升整体的决策过程,最终促进企业业绩的价值提升。     

A novel grey‐based feature ranking method for feature subset selection

Abstract

In this paper, a novel grey‐based feature ranking method for feature subset selection is proposed. The classification effectiveness of each attribute of a specific classification problem is proposed and then each attribute can be ranked. Features with higher classification effectiveness are more important and relevant and thus considered as the final feature subset for pattern classification. Experiments performed on various application domains are reported to demonstrate the performance of the proposed approach. The proposed approach yields better performance than other existing feature subset selection methods and is helpful for improving the classification accuracy in pattern classification.     

基于灰色聚类评估的配送中心选址模糊多目标优化模型

将多属性决策方法与最优化方法相集成,研究了多配送中心选址优化问题。首先采用灰色聚类决策计算各候选地定性属性的综合评估值。再以选定配送中心的评估值均值最大化、系统成本最小化,以及配送中心容量利用率最大化作为3个优化目标,建立一个考虑需求点模糊需求、供应点与候选配送中心容量限制的三级供应链系统多配送中心选址模型。该模型被描述成了一个多目标的非线性混合整数规划模型。采用机会约束规划对模糊需求进行清晰化处理,并应用目标加权的方法将问题转化为单目标问题。通过算例验证了所提模型的可行性。在实际工作中,可根据决策者权重偏好得出令人满意的结果。     

A Comparative Study of Using Grey Relational Analysis in Multiple Attribute Decision Making Problems

This paper uses grey relational analysis (GRA) method in multiple attribute decision making (MADM) problems. The advantages of using the GRA method include the followings: The results are based upon the original data, and the calculations are simple and easy to understand. It is one of the best methods to help management make decisions under business environment. Finally, an example is provided to show how this GRA method works in dealing with MADM problems. Moreover, the results from other methods are compared including the technique for order preference by similarity to ideal solution and operational competitiveness rating method.     

Topology optimization of structures under multiple loading cases with a new compliance–volume product

This article proposes a new topology optimization method for the design of structures under multiple loading cases. The design is formulated as a multi-objective optimization problem by minimizing a new compliance–volume product, which optimizes the overall stiffness and volume simultaneously to avoid the empirical decision on design constraints and obtain an even lower structural volume. A normalized exponential weighted criterion (NEWC) method is included in the multi-objective optimization problem for the capture of the entire Pareto frontier. A weight evaluation method, in terms of the fuzzy multiple-attribute group decision-making (FMAGDM) theory, is incorporated in the problem to evaluate the weights of the objectives and guarantee the optimal design in an acceptable level. The solid isotropic material with penalty (SIMP) method is used to represent the dependence of elemental densities on material properties. Three typical numerical examples are employed to show the effectiveness of the proposed method.     

Robust multiattribute decision making under risk and uncertainty in engineering design

In this article, the problem of choosing from a set of design alternatives based upon multiple, conflicting, and uncertain criteria is investigated. The problem of selection over multiple attributes becomes harder when risky alternatives exist. The overlap measure method developed in this article models two sources of uncertainties—imprecise or risky attribute values provided to the decision maker and inabilities of the decision-maker to specify an exact desirable attribute value. Effects of these uncertainties are mitigated using the overlap measure metric. A subroutine to this method, called the robust alternative selection method, ensures that the winning alternative is insensitive to changes in the relative importance of the different design attributes. The overlap measure method can be used to model and handle various sources of uncertainties and can be applied to any number of multiattribute decision-making methods. In this article, it is applied to the hypothetical equivalents and inequivalents method, which is a multiattribute selection method under certainty.     

A methodology for evaluating appropriateness of new energy resources in rural applications

In this paper a method to determine the appropriateness of energy resources in rural applications is discussed. Feasible energy resources are comparatively evaluated using eight attributes representing the criteria of appropriateness. ‘Appropriateness’ is defined as a linear combination of attribute weights multiplied by attribute attainment levels which have been mapped into utility for decision-makers. The uncertainty in data is handled using Monte-Carlo techniques. Sample results indicate a set of dominant energy resources for a particular task. This method can be applied in real-life decision making concerning energy resources for rural applications.     

面向协调的区域"经济-环境"系统管理模型

从管理的动态性特征出发,用复合子f、协调机制c、评价标准g来描述面向协调的管理的概念模型.在此基础上,按照系统分析、系统评价、系统调控三个步骤建立了面向协调的区域"环境-经济"系统管理模型.提出了基于系统功能和效益(率)的系统发展状态评价指标体系,应用灰色关联分析法遴选出与该复合系统在发展过程中联系最紧密的系统要素.最后对西安市的经济-环境进行了实证分析.