Method for multiple attribute decision making based on incomplete linguistic judgment matrix

With respect to the multiple attribute decision making problems with linguistic preference relations on alternatives in the form of incomplete linguistic judgment matrix, a method is proposed to analyze the decision problem. The incomplete linguistic judgment matrix is transformed into incomplete fuzzy judgment matrix and an optimization model is developed on the basis of incomplete fuzzy judgment matrix provided by the decision maker and the decision matrix to determine attribute weights by Lagrange multiplier method. Then the overall values of all alternatives are calculated to rank them. A numerical example is given to illustrate the feasibility and practicality of the proposed method.

Ranking method for the reciprocal judgment matrix based on the unascertained three-valued judgments

The ranking problem is studied when the pairwise comparisons values are unoertain in the analytic hierarchy process （AHP）. The method of constructing the judgment matrix is presented when the pairwise comparisons values are denoted by the unascertained three-valued reciprocal scales. By turning the reciprocal judgment matrix into attribute judgment matrix, the method to check the consistency of the pairwise comparisons judgment matrix and the calculation method of weighting coefficients are given. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

Ranking Method for Complementary Judgment Matrixes with Fuzzy Numbers Based on Hausdorff Metric Distance

A method for ranking complementary judgment matrixes with traspezoidal fuzzy numbers based on Hausdorff metric distance and fuzzy compromise decision approach is proposed. With regard to fuzzy number complementary judgment matrixes given by a decider group whose members have various weights, the expert＇s information was aggregated first by means of simple weight average（SWA） method and Bonissone calculational method. Hence a matrix including all the experts＇ preference information was got. Then the matrix＇ column members were added up and the fuzzy evaluation values of the alternatives were got. Lastly, the Hausdorff metric distance and fuzzy compromise decision approach were used to rank the fuzzy evaluation values and then the ranking values of all the alternatives were got. Because exact numbers and triangular fuzzy numbers could all be transformed into trapezoidal fuzzy numbers, the method developed can rank complementary judgment matrixes with trapezoidal fuzzy numbers, triangular fuzzy numbers and exact numbers as well. An illustrative example is also given to verify the developed method and to demonstrate its feasibility and practicality.

An Algorithm Concerning Adjustment of Unconsistent Judgment Matrix in Ahp

Consistency test of the judgment matrix is an essential step in the aplication of Analytic Hierarchy Process (AHP). This thesis presents an algerithm concerning the adjustment of a judgment matrix when it failed to pass the consistency test.

A Vicious Script in HTML Detection Method Using Judgment Matrix Approach

A vicious script detection method based on statistic is proposed by analyzing the vicious script in the hypertext markup language(HTML).We utilize the judgment matrix approach which is one of the subjective weighting approaches to set the different weights for various statistic methods.Then we make use of the weighted geometric method to perfect the statistic results.Experimental results show the validity of this method.

Quantitative Estimation of Experts’Judgments on Petroleum Exploration

A new method in making judgment matrix is proposed based on a basic value of “importance” and a relative measure level of “importance”. Factors affecting petroleum exploration are analyzed and Experts’ judgment matrix on a geologic formation is given. Expected value of each factor is computed and the volume of recoverable oil is estimated.

New Method for Constructing Comparison Matrix Based on the Proportion Scales in the AHP

The main faults existing in current scale methods are that the scales do not represent the real importance of alternatives and their relations. This paper presents a proportion judgment scale and introduces a new method based on the proportion scale for construction comparison matrix in the analytic hierarchy process (AHP). The proportion judgment scales do not have the faults existing in current scale methods and the comparison matrix constructed by the new scale

基于FAHP的高职院校教师信息化教学能力综合评价

参考教育部教师工作司“中国高校教师专业发展调研”项目研究成果,从高职教师信息化教学能力应有的内涵出发,建立分析框架,确定相关评价指标的权重;构建模糊系统,采用FAHP分析方法,提出了一套高职教师信息化教学能力综合评价方法,以期为高职院校教师及教学管理人员的信息化能力提升提供参考。

乘型模糊判断矩阵排序向量的递推方法

文章首先在模糊判断矩阵乘型一致性以及矩阵元素和权重之间关系的基础上,结合模糊判断矩阵的上三角矩阵元素,构建了一个关于权重和矩阵上三角元素的方程组,并证明了该方程组存在唯一的正解。随后指出方程组的证明过程就是模糊判断矩阵排序向量的求解过程,从而给出了乘型一致性模糊判断矩阵排序向量的一种递推方法。然后,在偏差函数基础上,通过构造并求解一个优化模型,求出了非乘型一致性模糊判断矩阵的排序向量,结果显示,其解的形式与采用乘型一致性模糊判断矩阵递推方法得到的排序向量完全一样。最后,通过实例以及相关方法对比说明排序向量递推方法是可行有效的。

考虑空间因素的AHP判断矩阵构造及应用

包含空间因素的综合评价问题屡见不鲜,然而传统层次分析法(AHP)却忽视了评价对象的空间特征,因此探究将空间因素加入判断矩阵以建立适用于空间数据结构的空间AHP方法。首先,以评价对象的空间特征为切入点,从空间相关、空间关联、空间耦合、空间投影和空间转移五个方面构建空间特征度量矩阵;其次,将空间特征度量矩阵融入判断矩阵并给出空间AHP赋权方法的基本思路,与传统AHP方法相比,空间AHP综合评价结果同时关注本地区及周边地区的发展状况;最后,实例分析部分通过变换空间权重矩阵、空间距离阈值和空间划分方式,以分析空间AHP区别于传统AHP的独特性质——空间依赖性、距离衰变性和空间异质性。研究结果表明:空间AHP不仅继承传统AHP的客观性和实用性,又将本地区与周边地区的发展水平建立联系;五种赋权类型中,Scor-AHP、Stra-AHP和Slin-AHP的适用范围更广,并且Scor-AHP和Stra-AHP的赋权结果对数据处理表现出强稳健性;空间依赖性、距离衰变性和空间异质性会对空间AHP综合评价结果产生影响,空间权重矩阵的选择应该以问题为导向,精准设定距离阈值是有效使用空间AHP方法的前提,适当的空间结构划分既能识别子区域发展的关键动因,还能体现地区综合指数的异质性。

基于层次分析法的致密气藏储层分类定量评价——以新场气田蓬莱镇组气藏为例

储层评价是致密砂岩气藏开发的基础,评价结果的准确性直接影响气藏开发的潜力分析,评价方法的选择影响到开发指标预测的可靠性、开发调整部署的科学性。为解决致密砂岩气藏储层评价影响因素多、主控因素不明确、参数敏感性未知、评价指标未量化等问题,以川西新场气田蓬莱镇组气藏为例,运用层次分析法理论,建立定量分析模型,将复杂问题简单化、定性问题定量化。方法优选地球物理、测井解释和地质基础等参数为准则指标,通过构造判断矩阵、确定指标权重、一致性检验等步骤,建立定量评价模型,得到权值向量,再利用真实井进行验证分析可采储量和无阻流量均与评价值呈现较好的相关性,说明研究方法具有较好的可靠性,进一步明确了储层划分类型及标准。根据研究方法确定的气藏储层评价指标,可以深化同区致密砂岩气藏开发“甜点”认识,提升致密砂岩气藏储层预测及开发部署质量,为同类气藏高效开发提供借鉴。

多级多分支配电线路雷击故障定位方法

针对监测终端受多级多分支配电线路负荷小,无法布置在线路末端导致监测范围小的问题,以及雷击次级分支时缺乏有效识别方法的现状,提出一种适用于多级多分支配电线路的雷击故障定位方法。首先通过电流极性判断矩阵识别监测区段内外故障,并针对区段外故障采用改进型双端行波定位方法进行故障定位。然后,针对监测区段内故障,基于改进型双端行波原理形成故障支路判断矩阵实现一级多分支线路的故障定位,而针对多级多分支线路,需要先采用矩阵变换将多级多分支变换为一级多分支线路。最后,PSCAD/EMTDC仿真结果表明,该方法可以有效定位监测区段外故障,并能有效定位多级多分支配电线路中次级线路雷击故障,扩大分布式监测系统的监测范围,对于示范线路目前的布点方案,将监测范围扩大了57.46%。

水利水电工程临时道路的地震致灾风险评估研究——以四川地区为例

灾害风险研究对工程项目顺利实施起着重要性的作用。以四川地区水利水电工程临时道路为研究对象,以地震为致灾因子,从构造背景和地震危险性两大方面进行分析,采用模糊集合理论和判断矩阵法,建立了临时道路遭受地震影响的风险评估的数学模型,分析了四川地区18912个格网单元遭遇地震后道路破坏情况的可能性。结果表明:四川地区水利水电工程临时道路遭受地震中等破坏的可能性较大,其中阿坝州的九寨沟县和汶川县及绵阳市的青川县等地区破坏情况可能最为严重。

川滇地区工程场外道路地震风险评估研究

水利水电工程场外道路的地震风险判定,对工程项目实施进度起着重要作用。本文中以川滇地区工程场外道路为研究对象,采用模糊集合理论和判断矩阵法,建立地质环境和地震危险性两大因子破坏的综合评估数学模型,分析37个地州市遭受地震后道路破坏情况的可能性。分析表明:川滇地区工程场外道路遭受地震中等破坏的可能性较大,且位于四川的工程场外道路遭受到地震风险破坏的指数高于云南地区的地震风险评估值。

基于判断矩阵和层次分析法的河网连通性评价

掌握河网连通性是实现水资源高效利用的重要条件,对于河流流域生态系统的健康运行和水资源管理尤为重要。为评估河网连通性对水资源管理的影响,根据层次分析法提出了一种基于判断矩阵的河网连通性评价模型,并通过模拟实验对该模型进行了验证。实验结果表明,基于判断矩阵的河网连通度评价模型能有效评价物质与能量在不同水域间的流动,较好地反映河道的水量、流量和能量分配能力;点的连通度与水深呈强相关,与流量和能量呈中等强度相关,与流速呈弱相关。研究的模型具有较好的应用价值,为河流和水体的管理和规划提供参考。

基于层次分析法的吸热碳氢燃料评估指标体系设计

为综合评价吸热碳氢燃料的整体性能,对吸热碳氢燃料研制、生产、使用、测试、贮存等各个环节的指标进行了有序整合,构建了吸热碳氢燃料评估指标体系。通过对吸热碳氢燃料的性能指标进行梳理和分类,根据层次分析法思想建立三级递阶层次结构模型,采用主观赋值法和一致性检验方法构建和筛选符合运算逻辑的判断矩阵,通过求解判断矩阵得到各指标权重值,对各指标的重要度进行了排序,并形成了评估指标体系的应用方法。研究结果将吸热碳氢燃料在各个环节中涉及的百余项评价指标“点”汇聚整合成为一套完整的评估体系“面”,为吸热碳氢燃料整体性能的评价提供了有效的方法,初步实现了吸热碳氢燃料综合性能定性评估到半定量评估的跨越,对新型吸热碳氢燃料的评价和发展具有重要应用价值。

层次分析法中判断矩阵应用的场景化教学设计——以供应商综合评价为例

判断矩阵是层次分析法的核心,在多因素综合评价决策中有着重要应用。然而,现有关于判断矩阵的教学,忽略了一致性检验未通过应当如何重新构建的问题,致使学生难以形成系统认知,进而影响学生的实际应用。文章根据学生对判断矩阵的学习与掌握逻辑,从判断矩阵的概念、性质、构建、检验与调整等知识点进行了系统化梳理,并通过编制的“供应商综合评价”案例,特意设置一些有违一致矩阵性质的数据,让学生体会判断矩阵的构造原则、检验步骤和调整思路,加深对判断矩阵的构建与检验要点的理解,能熟练应用判断矩阵解决多因素综合决策问题。

煤系地层瓦斯隧道施工风险评价及控制措施

基于云贵高原某煤系地层高瓦斯隧道,分析影响隧道施工风险的各因素,采用层次分析法计算各层影响因素的权重,运用模糊数学法对隧道施工风险进行综合评判,并按照风险等级制定合理的施工措施。结果表明:施工安全因素所占权重最大;隧道施工风险模糊综合评判结果为施工过程中有可能发生风险;施工中发生风险的概率为0.061,等级为4级;应加强施工过程管理,通过各种技术措施确保安全。

概率犹豫模糊判断矩阵的一致性调整与多重最优解分析

针对备选方案优先权重及多重最优解的计算,建立了一个概率犹豫模糊互补判断矩阵的离散化一致性调整模型,通过该模型调整后的矩阵能够较好地维持偏好值的具体含义,利于后续决策者的反馈修改。而后提出了多重最优解筛选机制,采用距离测度量化各个调整后的矩阵的决策信息扭曲程度及缺失状况,解决了一致性调整过程中的潜在解缺失导致的信息流失及排序互逆问题。最后,给出一个算例验证了模型及筛选机制的有效性。

Application of uncertain type of AHP to condition assessment of cable-stayed bridges

In order to guarantee the safety service and life-span of long-span cable-stayed bridges, the uncertain type of analytic hierarchy process （AHP） method is adopted to access the bridge condition. The correlative theory and applied objects of uncertain type of AHP are introduced, and then the optimal transitive matrix method is chosen to calculate the interval number judgment matrix, which makes the weights of indices more reliable and accurate. Finally, with Harbin Songhua River Cable-Stayed Bridge as an example, an index system and an assessment model are proposed for the condition assessment of this bridge, and by using uncertain type of AHP, the weights of assessment indices are fixed and the final assessment results of the bridge are calculated, which proves the feasibility and practicability of this method. The application of this assessment method can provide the scientific basis for maintenance and management of long-span cable-stayed bridges.