CN111062548A - Enterprise decision-making auxiliary real-time data acquisition and evaluation method - Google Patents
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Abstract
Description
技术领域technical field
本发明属于信息领域,具体涉及一种信息数据采集和评价方法The invention belongs to the field of information, and in particular relates to a method for collecting and evaluating information data
背景技术Background technique
本发明为企业提供决策辅助分析系统,评价系统的评价对象以及评价指标由使用者根据自身需求进行选择,指标权重通过主观(G2赋权法)和客观(CRITIC赋权法)两种方式相结合进行确定,评价对象的综合评分通过TOPSIS法由计算机自动计算,结果自动输出,为企业决策者提供高效、科学以及可靠的分析结果。The invention provides an auxiliary decision-making analysis system for enterprises, the evaluation object and evaluation index of the evaluation system are selected by the user according to their own needs, and the index weight is combined in two ways: subjective (G2 weighting method) and objective (CRITIC weighting method). To determine, the comprehensive score of the evaluation object is automatically calculated by the computer through the TOPSIS method, and the results are automatically output, providing efficient, scientific and reliable analysis results for enterprise decision makers.
发明内容SUMMARY OF THE INVENTION
为帮助企业解决项目评估过程中面临的数据采集困难,项目评价过于主观的问题,本发明提出一种企业决策辅助实时数据采集及评价方法,具体包括:In order to help enterprises solve the problems of data acquisition difficulties and project evaluation being too subjective in the process of project evaluation, the present invention proposes a real-time data acquisition and evaluation method for enterprise decision-making assistance, which specifically includes:
一种企业决策辅助实时数据采集方法,包括人工选取目标企业、选取评价指标、数据录入、数据标准化、计算机收集标准化数据。A real-time data collection method for enterprise decision-making assistance, comprising manual selection of target enterprises, selection of evaluation indicators, data entry, data standardization, and computer collection of standardized data.
所述数据标准化是指按照固定格式对采集的数据进行加工、处理,形成统一规范,便于数据比较;The data standardization refers to processing and processing the collected data according to a fixed format to form a unified specification, which is convenient for data comparison;
一种企业决策辅助的评价方法,包括一下步骤:An evaluation method for enterprise decision assistance, comprising the following steps:
(1)初始决策矩阵A以及因素集U的构建:(1) Construction of initial decision matrix A and factor set U:
(2)数据标准化处理(2) Data standardization processing
(3)权重确定(3) Weight determination
(4)综合得分计算(4) Comprehensive score calculation
具体的,以上步骤按照以下方法确定:Specifically, the above steps are determined according to the following methods:
(1)初始决策矩阵A以及因素集U的构建:(1) Construction of initial decision matrix A and factor set U:
第一,根据评价对象以及指标体系,构建评价指标为行、评价对象为列的矩阵。假设有m个评价对象x1,x2,x3......xm,Xi={x1,x2,x3......xm},n个评价指标,y1,y2,y3……yn,Yj={y1,y2,y3......yn},评价对象Xi在评价指标Yj的取值为aij,其评价值构成初始的决策矩阵A=(aij)m×n(i=1,2,…,m;j=1,2,…,n)。First, according to the evaluation object and the index system, construct a matrix with the evaluation index as the row and the evaluation object as the column. Suppose there are m evaluation objects x 1 , x 2 , x 3 ...... x m , Xi = {x 1 , x 2 , x 3 ...... x m }, n evaluation indicators, y 1 , y 2 , y 3 ...... y n , Y j = {y 1 , y 2 , y 3 ...... y n }, the value of the evaluation object X i in the evaluation index Y j is a ij , and its evaluation value constitutes the initial decision matrix A=(a ij ) m×n (i=1,2,...,m; j=1,2,...,n).
假设评价体系共有S个一级指标,则指标体系由S个一级指标,j个二级指标构成,则一级指标构成的总因素集U=(U1,U2,...,Us),一级指标k所对应二级指标构成的子目标因素集Uk=(Uk1,Uk2,…,Ukm)(k=1,2,…,s)。Assuming that there are S first-level indicators in the evaluation system, the index system consists of S first-level indicators and j second-level indicators, then the total factor set U=(U 1 ,U 2 ,...,U s ), the sub-target factor set U k =(U k1 ,U k2 ,…,U km )(k=1,2,…,s) composed of the second-level indicators corresponding to the first-level indicator k.
(2)数据标准化处理(2) Data standardization processing
由于各个指标所表征对象的量纲和数量级大小不同为便于定量计算,需要对原始数据矩阵进行标准化处理,标准化后的数据矩阵记为T=(tij)m×n(i=1,2,…,m;j=1,2,…,n),其中tij具体计算公式为:Due to the different dimensions and orders of magnitude of the objects represented by each index, in order to facilitate quantitative calculation, it is necessary to analyze the original data matrix. Carry out standardization processing, and the standardized data matrix is denoted as T=(t ij ) m×n (i=1,2,...,m; j=1,2,...,n), where the specific calculation formula of t ij is:
其中,对于正效应型的指标采用标准化处理公式(3),反之采用(4)。Among them, the standardized processing formula (3) is used for the indicators of positive effect, and (4) is used otherwise.
(3)权重确定(3) Weight determination
运用G2法获得指标的主观权重,依据Rik赋值准确的不同获得指标权重集为Wai=(Wa1,Wa2,…Was)。Use the G2 method to obtain the subjective weight of the index, and obtain the index weight set as W ai =(W a1 ,W a2 ,...W as ) according to the accurate assignment of Rik .
运用CRITIC法确定各指标的客观权重,将标准化后的指标数据导入系统。系统对所选指标的差异性和冲突性进行计算,进而获得指标j所包含的信息量,指标所含的信息量越大,则其权重也相应较大,客观指标权重(Wbj)计算可表示为The CRITIC method is used to determine the objective weight of each index, and the standardized index data is imported into the system. The system calculates the differences and conflicts of the selected indicators, and then obtains the amount of information contained in the index j. The greater the amount of information contained in the index, the correspondingly larger weight. The objective index weight (W bj ) can be calculated by Expressed as
由专家评价获得的主观权重和基于数据计算获得客观权重两者的重要性一致,因此综合权重为两种权重的均值,指标j的综合权重可以表示为The importance of subjective weight obtained by expert evaluation and objective weight obtained by data calculation is consistent, so the comprehensive weight is the average of the two weights, and the comprehensive weight of index j can be expressed as
(4)综合得分计算(4) Comprehensive score calculation
基于综合权重Wj和标准化后的数据tij,利用TOSIS计算获得评价对象与正理想解和负理想解的欧氏距离(D+和D-,式11和式12),并以此获得评价对象的综合得分M(式13)。Based on the comprehensive weight W j and the normalized data t ij , the Euclidean distance (D + and D − , Equation 11 and Equation 12) between the evaluation object and the positive ideal solution and the negative ideal solution is calculated by using TOSIS, and the evaluation is obtained from this The overall score M of the subject (Equation 13).
方法1:选取n个待评价指标x1,x2,x3......xn,在评价指标集{xi}={x1,x2,x3......xn}中挑选出最不重要的唯一一个指标作为参照物,并记为yk,将各项指标重新标记为y1,y2,y3……yn,n为指标总数。{xi}={x1,x2,x3......xn}与{yi}={y1,y2,y3......yn}具有一一对应的关系。将指标yi与最不重要指标yk相比得到相对重要度Rik,其中,Rik≥1,Rii=1,各数值代表含义如表1所示:Method 1: Select n indicators to be evaluated x 1 , x 2 , x 3 ...... x n , in the evaluation index set {x i }={x 1 , x 2 , x 3 ...... Select the least important and only one indicator from x n } as a reference, and denote it as y k , and re-mark each indicator as y 1 , y 2 , y 3 ...... y n , where n is the total number of indicators. {x i }={x 1 , x 2 , x 3 ...... x n } and {y i }={y 1 , y 2 , y 3 ...... y n } have one-to-one corresponding relationship. The relative importance Rik is obtained by comparing the index y i with the least important index yk , where Rik ≥1, Rii =1, and the meaning of each value is shown in Table 1:
表1评价指标间相对重要度Table 1 Relative importance between evaluation indicators
1.重要性程度之比Rik为点赋值情形1. The ratio of importance degree R ik is the case of point assignment
领域专家根据相关信息确定除最不重要的指标yk作为唯一参考,进而通过将指标yi与最不重要指标yk相比得到相对重要度Rik,进而对评价指标的重要性程度做出理性的判断,Rik的计算方法为:Domain experts determine the least important index y k as the only reference according to the relevant information, and then obtain the relative importance R ik by comparing the index y i with the least important index y k , and then make a decision on the importance of the evaluation index. Rational judgment, the calculation method of Rik is:
若Rik的赋值准确,则指标i的权重系数Wi为:If the assignment of R ik is accurate, the weight coefficient Wi of the indicator i is:
2.重要性程度之比Rik为区间赋值情形2. The ratio of importance degree R ik is the case of interval assignment
在有些情况下,专家在对Rik进行主观赋值时,由于信息的不足而没有把握赋予Rik一个确切的数值,但有把握给出Rik一个取值范围,但又不能放弃时,即不能肯定地对Rik赋予一个且只一个确定的数值,但却有把握给出Rik的一个取值范围,此时可采用一种带有区间特征的G2法。在这种情况下,设指定的专家根据相关信息对评估指标的重要性程度之比Rik给出一个区间Dik。In some cases, when experts assign Ri ik subjectively, due to lack of information, they are not sure to assign Ri ik an exact value, but they are sure to give Ri ik a range of values, but they cannot give up, that is, they cannot One and only one definite value is given to Rik for sure, but a value range of Rik is given with certainty. In this case, a G2 method with interval characteristics can be used. In this case, it is assumed that the designated expert gives an interval Dik according to the ratio Rik of the importance of the relevant information to the evaluation index.
实数有界闭集[d1,d2]=(x|d1≤x≤d2,x∈R)称为闭区间,也可以把闭区间看成是由它的端点d1和d2组成的一对有序数,称为区间数,通常用D表示。对于D=[d1,d2],分别称e(D)=d2-d1与n(D)=(d1+d2)/2为D的区间宽度和区间中点。A bounded closed set of real numbers [d 1 , d 2 ]=(x|d 1 ≤x≤d 2 , x∈R) is called a closed interval, and a closed interval can also be regarded as consisting of its endpoints d 1 and d 2 A pair of ordered numbers, called interval numbers, is usually denoted by D. For D=[d 1 , d 2 ], e(D)=d 2 -d 1 and n(D)=(d 1 +d 2 )/2 are called the interval width and interval midpoint of D, respectively.
当n(D)=0时,则D为对称区间。对于D1=[d11,d21],D2=[d12,d22],则规定D1+D2=[d11+d12,d21+d22]。通常决策是带有风险的,称映射 为具有专家风险态度的区间映射函数,其中ε为风险态度因子,其取值范围为:-1/2≤ε≤1/2。对于保守型专家,取-1/2≤ε≤0;对于中立型专家,取ε=0;对于风险型专家,取0≤ε≤1/2。对于指定的专家,ε为已知数。When n(D)=0, then D is a symmetric interval. For D 1 =[d 11 ,d 21 ], D 2 =[d 12 ,d 22 ], then D 1 +D 2 =[d 11 +d 12 ,d 21 +d 22 ] is specified. Often decisions are risky, called mapping is an interval mapping function with expert risk attitude, where ε is the risk attitude factor, and its value range is: -1/2≤ε≤1/2. For conservative experts, take -1/2≤ε≤0; for neutral experts, take ε=0; for risk experts, take 0≤ε≤1/2. For the designated expert, ε is a known number.
设专家根据有关信息对评价指标yi与最不重要指标yk关于某准则的重要性程度之比Rik给出一个区间数Dk,即给出Rik的取值区间:Assume that experts give an interval number D k to the ratio Ri ik of the importance of the evaluation index y i and the least important index y k to a certain criterion according to the relevant information, that is, the value interval of Ri ik is given:
Rik=ak∈[d1k,d2k]=Dk,k=1,2,…,m-1 (3)R ik = ak ∈[d 1k ,d 2k ]=D k ,k=1,2,...,m-1 (3)
其中,d1k≤d2k,d2m=d1m=1Wherein, d 1k ≤d 2k , d 2m =d 1m =1
若{Dk}的赋值准确,则 If the assignment of {D k } is accurate, then
方法二:Method Two:
利用CRITIC赋权法通过计算评价指标间的差异性和冲突性两个标准对指标进行客观赋权。差异性是针对同一指标在不同样本间的取值的差异大小,在排除量纲影响的基础上,通过标准差系数(Sj)来进行衡量;指标间的冲突性包括大小和方向两个方面,通过相关系数(Rpq)进行表示,若两指标具有较强的正相关关系,则说明其冲突性较低。The CRITIC weighting method is used to objectively weight the indicators by calculating the difference and conflict between the evaluation indicators. Difference refers to the difference in the value of the same indicator between different samples, and is measured by the standard deviation coefficient (S j ) on the basis of excluding the influence of dimensions; the conflict between indicators includes two aspects: size and direction , expressed by the correlation coefficient (R pq ), if the two indicators have a strong positive correlation, it means that their conflict is low.
第j个指标的标准差和相关系数计算方式为:The standard deviation and correlation coefficient of the jth indicator are calculated as:
其中,p、q表示指标,Rpq表示描标p与指标q的相关系数列Among them, p and q represent the indicators, and R pq represents the correlation coefficient sequence between the tracer p and the indicator q
第j个指标与其他指标的冲突性可以量化为Rij是第j个指标与第i个指标的相关系数,同时说明对于绝对值相同的正相关与负相关,其指标间的冲突性是相同的。设Cj为第j个指标所包含的信息量,表示为The conflict between the jth indicator and other indicators can be quantified as R ij is the correlation coefficient between the j-th index and the i-th index, and it shows that for the positive correlation and negative correlation with the same absolute value, the conflict between the indicators is the same. Let C j be the amount of information contained in the jth index, expressed as
其中Cj越大,表示第j个指标包含的信息量越大,其权重也相应较大,表示为The larger C j is, the larger the amount of information contained in the j-th index is, and its weight is correspondingly larger, which is expressed as
方法3:Method 3:
利用TOPSIS法,通过计算指标值与正理想解和负理想解的距离,获得各个评价对象与最优方案的相对贴近度并进行排序,评价对象越接近理想值则其排名越靠前。该方法不受样本量的限制,能够通过简便的计算得到合理的评价结果,是多目标决策分析中的一种常用的方法。对于经过无量纲标准化处理的数据来说,“正理想解”为评价对象的标准化数据中的最大值,“负理想解”则对应评价指标标准化数据中的的最小值。正理想解X+和负理想解X-可以表示为Using the TOPSIS method, by calculating the distance between the index value and the positive ideal solution and the negative ideal solution, the relative closeness of each evaluation object to the optimal solution is obtained and sorted. The closer the evaluation object is to the ideal value, the higher the ranking. This method is not limited by the sample size, and can obtain reasonable evaluation results through simple calculation. It is a commonly used method in multi-objective decision analysis. For the data subjected to dimensionless normalization, the "positive ideal solution" is the maximum value in the standardized data of the evaluation object, and the "negative ideal solution" corresponds to the minimum value in the standardized data of the evaluation index. The positive ideal solution X + and the negative ideal solution X- can be expressed as
与理想值的距离通过用加权的欧氏距离进行计算,评价对象正理想解和负理想解的距离分别表示为D+和D-:The distance from the ideal value is calculated by using the weighted Euclidean distance, and the distances of the positive ideal solution and the negative ideal solution of the evaluation object are expressed as D + and D - respectively:
D+和D-从不同角度对评价对象进行评估,D+越小表示评价对象与最优理想解的距离越小,即该评价对象相对处于优势地位;D-越大,表示评价对象与最差理想解距离较远,同样表明更靠近正理想解,所以D+和D-可以看做表达的意义是一致的。综合D+和D-的评价结果,可以得到评价对象与最优方案的贴近度M*,也就是评价对象的综合得分:D + and D - evaluate the evaluation object from different angles. The smaller the D + is, the smaller the distance between the evaluation object and the optimal ideal solution is, that is, the evaluation object is in a relatively dominant position; the larger the D - is, the smaller the evaluation object is. The distance from the poor ideal solution is farther, and it also indicates that it is closer to the positive ideal solution, so D + and D - can be regarded as the same meaning. Combining the evaluation results of D + and D - , the closeness M * of the evaluation object and the optimal solution can be obtained, that is, the comprehensive score of the evaluation object:
由此方法计算的贴近度M得分在0-1之间,可见评价对象的得分越接近1,则评价对象与正理想解的距离越小,相对其他评价对象处于优势地位。The score of closeness M calculated by this method is between 0 and 1. It can be seen that the closer the score of the evaluation object is to 1, the smaller the distance between the evaluation object and the positive ideal solution, and it is in an advantageous position relative to other evaluation objects.
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