CN116362577A - Target class membership analysis method, system, device and storage medium - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及数据挖掘分类领域,特别涉及两类有关联关系的变量集合中因子之间的从属关系,具体涉及一种基于变量关联的目标类别隶属度分析方法、系统、设备和存储介质。The invention relates to the field of data mining classification, in particular to the subordination relationship between factors in two types of related variable sets, and in particular to a method, system, device and storage medium for analyzing the membership degree of target categories based on variable association.
背景技术Background technique
当前在分类领域,诸如聚类分析、主成分分析、专家打分法、SVM分析等方法,均从实际数据中进行分类和分析,但目前在工程分析领域存在很多存在关联性但未能清晰界定关联关系的事件,例如事务发生类别频次与诸多因素之间的关系,或是界定某一评价指标体系中各评价指标与被评价的对象类别之间的隶属程度等。对于此种关联关系或是模糊的隶属关系之间的判定通常由专家打分法等方法来判断,主观性较强。At present, in the field of classification, methods such as cluster analysis, principal component analysis, expert scoring method, SVM analysis, etc., are all classified and analyzed from actual data. However, in the field of engineering analysis, there are many correlations that cannot be clearly defined. Events related to each other, such as the relationship between the frequency of transaction types and many factors, or the definition of the degree of membership between each evaluation index in a certain evaluation index system and the object category being evaluated, etc. The determination of such association relationship or fuzzy affiliation relationship is usually judged by methods such as expert scoring method, which is highly subjective.
发明内容Contents of the invention
针对上述问题,本发明的目的是提供一种基于变量关联的目标类别隶属度分析方法、系统、设备和存储介质,通过基于发生概率的隶属度分析,对工程中出现的模糊事物发生的隶属度关联关系进行量化分类。In view of the problems referred to above, the object of the present invention is to provide a method, system, equipment and storage medium for analyzing the degree of membership of target categories based on variable association, through the analysis of the degree of membership based on the probability of occurrence, the degree of membership of the occurrence of fuzzy things occurring in engineering Quantitative classification of association relationship.
为实现上述目的,本发明采取以下技术方案:To achieve the above object, the present invention takes the following technical solutions:
第一方面,本发明提供一种目标类别隶属度分析方法,包括以下步骤:In a first aspect, the present invention provides a target category membership analysis method, comprising the following steps:
对待评价项目的不同应用场景特性以及评价指标进行分析,得到待评价项目的评价指标集合和场景特性集合,并将评价指标集合记为第一变量集合,将场景特性集合记为第二变量集合;Analyze the characteristics of different application scenarios and evaluation indicators of the items to be evaluated, obtain the evaluation index set and the scene characteristic set of the project to be evaluated, record the evaluation index set as the first variable set, and record the scene characteristic set as the second variable set;
对不同应用场景下第一变量集合中各评价指标出现的概率与第二变量集合中各场景特性的概率进行隶属度分析,得到不同场景特性下的评价指标清单;The membership degree analysis is performed on the occurrence probability of each evaluation index in the first variable set and the probability of each scene characteristic in the second variable set under different application scenarios, and a list of evaluation indexes under different scene characteristics is obtained;
基于评价指标清单,确定待评价项目在预设场景特性下的评价指标子集,基于评价指标子集得到待评价项目在预设场景特性下的评价结果。Based on the evaluation index list, the evaluation index subset of the item to be evaluated under the preset scene characteristics is determined, and the evaluation result of the item to be evaluated under the preset scene characteristics is obtained based on the evaluation index subset.
进一步,所述对不同应用场景下第一变量集合中各评价指标出现的概率与第二变量集合中各场景特性的概率进行隶属度分析,得到不同场景特性下的评价指标清单,包括以下步骤:Further, performing membership degree analysis on the occurrence probability of each evaluation index in the first variable set under different application scenarios and the probability of each scene characteristic in the second variable set to obtain a list of evaluation indexes under different scene characteristics, including the following steps:
基于第一变量集合和第二变量集合中各变量发生的概率构建变量概率矩阵;Constructing a variable probability matrix based on the probability of occurrence of each variable in the first variable set and the second variable set;
根据第一变量集合的变量概率矩阵,基于模糊分析方法得到第一变量集合中各评价指标对理想场景特性的理想隶属关系;其中,理想隶属关系指第一变量集合中各评价指标被归集在按照预设分类规则所得出的各理想场景特性的概率;According to the variable probability matrix of the first variable set, based on the fuzzy analysis method, the ideal membership relationship of each evaluation index in the first variable set to the ideal scene characteristics is obtained; the ideal membership relationship means that each evaluation index in the first variable set is grouped in The probability of each ideal scene characteristic obtained according to the preset classification rules;
根据第二变量集合的变量概率矩阵以及第二变量集合中实际场景特性的数量,对形成的理想隶属关系进行偏差修正,得到第一变量集合中各评价指标对第二变量集合中实际场景特性的实际隶属关系,作为不同场景特性下的评价指标清单。According to the variable probability matrix of the second variable set and the number of actual scene characteristics in the second variable set, the deviation correction is performed on the formed ideal membership relationship, and the relationship between each evaluation index in the first variable set and the actual scene characteristics in the second variable set is obtained. Actual affiliation, as a list of evaluation indicators under different scene characteristics.
进一步,所述根据第一变量集合的变量概率矩阵,基于模糊分析方法得到第一变量集合中各评价指标对理想场景特性的理想隶属关系,包括:Further, according to the variable probability matrix of the first variable set, the ideal membership relationship of each evaluation index in the first variable set to the ideal scene characteristics is obtained based on the fuzzy analysis method, including:
确定当前聚类中心数,并按照确定的当前聚类中心数,对第一变量集合的变量概率矩阵进行模糊K均值算法的分类,并计算得到当前聚类中心数所对应的目标函数值;Determine the current number of cluster centers, and according to the determined current number of cluster centers, classify the variable probability matrix of the first variable set with the fuzzy K-means algorithm, and calculate the objective function value corresponding to the current number of cluster centers;
计算得到所有聚类中心数所对应的聚类中心矩阵、隶属度矩阵以及目标函数值;Calculate the cluster center matrix, membership matrix and objective function value corresponding to the number of all cluster centers;
选取目标函数值最小的聚类中心数作为理想聚类中心数,其对应的聚类中心矩阵为理想聚类中心矩阵,对应的隶属度矩阵作为第一变量集合中各评价指标对各理想场景特性的理想隶属关系。The number of cluster centers with the smallest objective function value is selected as the number of ideal cluster centers, the corresponding cluster center matrix is the ideal cluster center matrix, and the corresponding membership degree matrix is used as the first variable set. ideal affiliation.
进一步,所述目标函数值计算公式为:Further, the formula for calculating the objective function value is:
式中,J(U,W,c)为当前隶属度矩阵U、聚类中心矩阵W及聚类中心数c情况下计算得到的目标函数值。In the formula, J(U,W,c) is the objective function value calculated under the current membership degree matrix U, cluster center matrix W and the number of cluster centers c.
进一步,所述根据第二变量集合的变量概率矩阵以及第二变量集合中实际场景特性的数量,对形成的理想隶属关系进行偏差修正,包括:Further, according to the variable probability matrix of the second variable set and the number of actual scene characteristics in the second variable set, performing deviation correction on the formed ideal membership relationship, including:
将第二变量集合的变量概率矩阵与理想聚类中心矩阵进行比较,得到距离矩阵;Compare the variable probability matrix of the second variable set with the ideal cluster center matrix to obtain a distance matrix;
采用模糊归一法对得到的距离矩阵进行归一化,得到模糊隶属度矩阵;Using the fuzzy normalization method to normalize the obtained distance matrix to obtain the fuzzy membership degree matrix;
根据第二变量集合中实际场景特性的数量以及理想聚类中心数的比较结果,结合模糊隶属度矩阵,确定归类关系;According to the number of actual scene characteristics in the second variable set and the comparison result of the number of ideal cluster centers, combined with the fuzzy membership degree matrix, the classification relationship is determined;
将隶属于各理想聚类中心的第一变量集合中的评价指标按照得到的归类关系隶属到第二变量集合中的相应的场景特性,得到第一变量集合中各评价指标对第二变量集合中实际场景特性的实际隶属关系。The evaluation indicators in the first variable set belonging to each ideal cluster center are assigned to the corresponding scene characteristics in the second variable set according to the obtained classification relationship, and the relationship between the evaluation indicators in the first variable set and the second variable set is obtained. The actual affiliation of the actual scene features in .
进一步,所述距离矩阵中各元素的计算公式如下:Further, the calculation formula of each element in the distance matrix is as follows:
dkl=|wk-w’l|d kl =|w k -w' l |
式中,wk为第二变量集合中各实际场景特性发生的概率值,w’l为理想聚类中心矩阵中的元素值。In the formula, w k is the probability value of occurrence of each actual scene characteristic in the second variable set, and w' l is the element value in the ideal cluster center matrix.
进一步,所述根据第二变量集合中实际场景特性的数量以及理想聚类中心数的比较结果,结合模糊隶属度矩阵,确定归类关系,包括:Further, according to the comparison result of the number of actual scene characteristics in the second variable set and the number of ideal cluster centers, combined with the fuzzy membership matrix, the classification relationship is determined, including:
对比第二变量集合中实际场景特性的数量q与理想聚类中心数C的大小:Compare the number q of the actual scene characteristics in the second variable set with the size of the ideal cluster center number C:
若q>C,对于第二变量集合中的每个场景特性,选择d'kl=0的理想聚类中心进行归类;If q>C, for each scene characteristic in the second variable set, select the ideal cluster center of d' kl =0 to classify;
若q=C,则第二变量集合中的每个场景特性与理想聚类中心一一对应;If q=C, each scene feature in the second variable set corresponds to the ideal cluster center one by one;
若q<C,则对于每个理想聚类中心,选择dl'k=0的第二变量集合中每个场景特性进行归类。If q<C, then for each ideal clustering center, select each scene characteristic in the second variable set with d l ' k =0 for classification.
第二方面,本发明提供一种目标类别隶属度分析系统,包括:In a second aspect, the present invention provides a target category membership analysis system, including:
变量集合确定模块,用于对待评价项目的不同应用场景特性以及评价指标进行分析,得到待评价项目的评价指标集合和场景特性集合,分别记为第一变量集合和第二变量集合;The variable set determination module is used to analyze the characteristics of different application scenarios and evaluation indicators of the items to be evaluated, and obtain the evaluation index sets and scene characteristic sets of the items to be evaluated, which are respectively recorded as the first variable set and the second variable set;
隶属关系确定模块,用于对不同应用场景下第一变量集合中各评价指标出现的概率与第二变量集合中各场景特性的概率进行隶属度分析,得到不同场景特性下的评价指标清单;The membership relationship determination module is used to analyze the membership degree of the occurrence probability of each evaluation index in the first variable set and the probability of each scene characteristic in the second variable set under different application scenarios, and obtain a list of evaluation indicators under different scene characteristics;
评价模块,用于基于得到的不同场景特性下的评价指标清单,确定待评价项目在预设场景特性下的评价指标子集,基于评价指标子集得到待评价项目在预设场景特性下的评价结果。The evaluation module is used to determine the evaluation index subset of the project to be evaluated under the preset scene characteristics based on the obtained evaluation index list under different scene characteristics, and obtain the evaluation of the project to be evaluated under the preset scene characteristics based on the evaluation index subset result.
第三方面,本发明提供一种处理设备,所述处理设备至少包括处理器和存储器,所述存储器上存储有计算机程序,所述处理器运行所述计算机程序时执行以实现所述目标类别隶属度分析方法的步骤。In a third aspect, the present invention provides a processing device, the processing device includes at least a processor and a memory, and a computer program is stored on the memory, and when the processor runs the computer program, it is executed to achieve the target category membership steps in the analytical method.
第四方面,本发明提供一种计算机存储介质,其上存储有计算机可读指令,所述计算机可读指令可被处理器执行以实现所述目标类别隶属度分析方法的步骤。In a fourth aspect, the present invention provides a computer storage medium, on which computer readable instructions are stored, and the computer readable instructions can be executed by a processor to implement the steps of the target category membership analysis method.
本发明由于采取以上技术方案,其具有以下优点:本发明通过将两类事务发生的频率概率化,再进行基于发生概率的隶属度分析,并进行类别的优化和纠偏,来实现模糊事务发生的隶属关联关系,为目前工程中大量出现的此类问题提出一种创新的量化分类方法。Due to the adoption of the above technical solutions, the present invention has the following advantages: the present invention probabilizes the occurrence frequency of two types of affairs, then performs membership degree analysis based on the occurrence probability, and performs category optimization and deviation correction to realize the occurrence of fuzzy affairs Affiliation relationship, an innovative quantitative classification method for such problems that appear in large numbers in engineering at present.
附图说明Description of drawings
通过阅读下文优选实施方式的详细描述,各种其他的优点和益处对于本领域普通技术人员将变得清楚明了。附图仅用于示出优选实施方式的目的,而并不认为是对本发明的限制。在整个附图中,用相同的附图标记表示相同的部件。在附图中:Various other advantages and benefits will become apparent to those of ordinary skill in the art upon reading the following detailed description of the preferred embodiment. The drawings are only for the purpose of illustrating a preferred embodiment and are not to be considered as limiting the invention. Throughout the drawings, the same reference numerals are used to refer to the same parts. In the attached picture:
图1是本发明实施例提供的基于变量关联的目标类别隶属度分析方法流程图。FIG. 1 is a flow chart of a method for analyzing the membership degree of a target category based on variable association provided by an embodiment of the present invention.
具体实施方式Detailed ways
为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合本发明实施例的附图,对本发明实施例的技术方案进行清楚、完整地描述。显然,所描述的实施例是本发明的一部分实施例,而不是全部的实施例。基于所描述的本发明的实施例,本领域普通技术人员所获得的所有其他实施例,都属于本发明保护的范围。In order to make the purpose, technical solutions and advantages of the embodiments of the present invention more clear, the following will clearly and completely describe the technical solutions of the embodiments of the present invention in conjunction with the drawings of the embodiments of the present invention. Apparently, the described embodiments are some, not all, embodiments of the present invention. All other embodiments obtained by those skilled in the art based on the described embodiments of the present invention belong to the protection scope of the present invention.
需要注意的是,这里所使用的术语仅是为了描述具体实施方式,而非意图限制根据本申请的示例性实施方式。如在这里所使用的,除非上下文另外明确指出,否则单数形式也意图包括复数形式,此外,还应当理解的是,当在本说明书中使用术语“包含”和/或“包括”时,其指明存在特征、步骤、操作、器件、组件和/或它们的组合。It should be noted that the terminology used here is only for describing specific implementations, and is not intended to limit the exemplary implementations according to the present application. As used herein, unless the context clearly dictates otherwise, the singular is intended to include the plural, and it should also be understood that when the terms "comprising" and/or "comprising" are used in this specification, they mean There are features, steps, operations, means, components and/or combinations thereof.
本发明的一些实施例中,提供一种目标类别隶属度分析方法,通过构建变量间的概率关联关系,采用模糊聚类分析等技术判断变量因子间的隶属关系,并进行目标数量修正隶属关系类别数,最后根据隶属度数值进行变量间隶属关系的量化,能对于任何可能两类可能同时发生的事件各组成部分之间的关联关系及其关系的量化度量提供参考和指导,具备一定的使用前景。In some embodiments of the present invention, a method for analyzing the membership degree of target categories is provided. By constructing the probability correlation relationship between variables, using technologies such as fuzzy cluster analysis to judge the membership relationship between variable factors, and correcting the membership relationship category by the number of targets Finally, the quantification of the membership relationship between variables is carried out according to the membership degree value, which can provide reference and guidance for the correlation relationship between the components of any two types of events that may occur at the same time and the quantitative measurement of the relationship, and has a certain application prospect. .
与之相对应地,本发明的另一些实施例中,提供一种目标类别隶属度分析系统、设备和介质。Correspondingly, in some other embodiments of the present invention, a target category membership analysis system, device and medium are provided.
实施例1Example 1
如图1所示,本实施例提供的一种目标类别隶属度分析方法,其包括以下步骤:As shown in Figure 1, a kind of target category membership analysis method provided by the present embodiment comprises the following steps:
S1、对待评价项目的不同应用场景特性以及评价指标进行分析,得到待评价项目的评价指标集合和场景特性集合,分别记为第一变量集合和第二变量集合;S1. Analyze the characteristics of different application scenarios and evaluation indicators of the items to be evaluated, and obtain the evaluation index sets and scene characteristic sets of the items to be evaluated, which are respectively recorded as the first variable set and the second variable set;
S2、对不同应用场景下第一变量集合中各评价指标出现的概率与变量集合B中各场景特性的概率进行隶属度分析,得到不同场景特性下的评价指标清单;S2. Perform membership degree analysis on the occurrence probability of each evaluation index in the first variable set under different application scenarios and the probability of each scene characteristic in the variable set B, and obtain a list of evaluation indexes under different scene characteristics;
S3、基于得到的不同场景特性下的评价指标清单,确定待评价项目在预设场景特性下的评价指标子集,基于评价指标子集得到待评价项目在预设场景特性下的评价结果。S3. Based on the obtained list of evaluation indicators under different scene characteristics, determine the evaluation index subset of the item to be evaluated under the preset scene characteristics, and obtain the evaluation result of the item to be evaluated under the preset scene characteristics based on the evaluation index subset.
优选地,上述步骤S2中,对不同应用场景下第一变量集合中各评价指标出现的概率与第二变量集合中各场景特性的概率进行隶属度分析,得到不同场景特性下的评价指标清单,包括以下步骤:Preferably, in the above step S2, the membership degree analysis is performed on the occurrence probability of each evaluation index in the first variable set under different application scenarios and the probability of each scene characteristic in the second variable set to obtain a list of evaluation indexes under different scene characteristics, Include the following steps:
S11、基于第一变量集合和第二变量集合中各变量发生的概率构建变量概率矩阵;S11. Construct a variable probability matrix based on the occurrence probability of each variable in the first variable set and the second variable set;
S12、根据第一变量集合的变量概率矩阵,基于模糊分析方法得到第一变量集合中各评价指标对理想场景特性的理想隶属关系;其中,理想隶属关系指第一变量集合中各评价指标被归集在按照预设分类规则所得出的各理想场景特性的概率;S12. According to the variable probability matrix of the first variable set, based on the fuzzy analysis method, the ideal subordination relationship of each evaluation index in the first variable set to the ideal scene characteristics is obtained; wherein, the ideal subordination relationship means that each evaluation index in the first variable set is assigned to Set the probability of each ideal scene characteristic obtained according to the preset classification rules;
S13、根据第二变量集合的变量概率矩阵以及第二变量集合中实际场景特性的数量,对步骤S12中形成的理想隶属关系进行偏差修正,得到第一变量集合中各评价指标对第二变量集合中实际场景特性的实际隶属关系,也即不同场景特性下的评价指标清单。S13. According to the variable probability matrix of the second variable set and the quantity of the actual scene characteristics in the second variable set, the deviation correction is performed on the ideal membership relationship formed in step S12, and the comparison of each evaluation index in the first variable set to the second variable set is obtained. The actual affiliation relationship of the actual scene characteristics in , that is, the list of evaluation indicators under different scene characteristics.
优选地,上述步骤S11中,第一变量集合和第二变量集合的变量概率矩阵,分别通过对第一变量集合中变量因子也即评价指标发生的数量与第二变量集合中变量因子也即各场景特性发生的数量进行统计,得出第一变量集合中各评价指标和第二变量集合中各场景特性发生的概率,从而得出两个变量概率矩阵。Preferably, in the above step S11, the variable probability matrices of the first variable set and the second variable set are respectively calculated by comparing the variable factors in the first variable set, that is, the number of occurrences of evaluation indicators, and the variable factors in the second variable set, that is, each The number of occurrences of scene characteristics is counted to obtain the occurrence probability of each evaluation index in the first variable set and each scene characteristic in the second variable set, thereby obtaining two variable probability matrices.
优选地,上述步骤S12中,模糊分析方法可以是多种分类技术,包含但不限于基于改进的模糊K均值算法。采用改进的模糊K均值算法,得到第一变量集合中各评价指标对理想场景特性的理想隶属关系的方法,包括:Preferably, in the above step S12, the fuzzy analysis method may be a variety of classification techniques, including but not limited to the improved fuzzy K-means algorithm. Using the improved fuzzy K-means algorithm to obtain the ideal membership relationship of each evaluation index in the first variable set to the ideal scene characteristics, including:
S121、确定当前聚类中心数,本实施例中聚类中心数采用枚举法确定,从2到预设数值进行枚举。S121. Determine the current number of cluster centers. In this embodiment, the number of cluster centers is determined by an enumeration method, enumerating from 2 to a preset value.
S122、按照确定的当前聚类中心数,对第一变量集合的变量概率矩阵进行模糊K均值算法的分类,并计算得到当前聚类中心数所对应的目标函数值。S122. According to the determined current number of cluster centers, classify the variable probability matrix of the first variable set with the fuzzy K-means algorithm, and calculate the objective function value corresponding to the current number of cluster centers.
其中,目标函数值的计算公式为:Among them, the calculation formula of the objective function value is:
式中,J(U,W,c)为当前隶属度矩阵U、聚类中心矩阵W及聚类中心数c情况下计算得到的目标函数值。其中,各矩阵计算公式为:In the formula, J(U,W,c) is the objective function value calculated under the current membership degree matrix U, cluster center matrix W and the number of cluster centers c. Among them, the calculation formula of each matrix is:
V=[v1,...vi,...,vn]T,i=1,2,...n (2)V=[v 1 ,...v i ,...,v n ] T ,i=1,2,...n (2)
W=[w1,...wj,...,wc]T,j=1,2,...c (3)W=[w 1 ,...w j ,...,w c ] T ,j=1,2,...c (3)
式中,UL为模糊K均值算法中的隶属度矩阵,为第L轮计算中隶属度矩阵中的元素,即第i个评价指标对第j个聚类中心的隶属度;W为聚类中心矩阵,wj为聚类中心矩阵的元素;c为聚类中心数;V为变量集合A的变量概率矩阵,vi表示第l轮计算中变量概率矩阵的元素vi对聚类中心矩阵W中元素wj的隶属度值,n为评价指标个数。In the formula, U L is the membership degree matrix in the fuzzy K-means algorithm, is the element in the membership degree matrix in the L-th round of calculation, that is, the membership degree of the i-th evaluation index to the j-th clustering center; W is the clustering center matrix, w j is the element of the clustering center matrix; c is the clustering center The number of cluster centers; V is the variable probability matrix of the variable set A, v i represents the membership degree value of the element v i of the variable probability matrix in the first round of calculation to the element w j in the cluster center matrix W, and n is the number of evaluation indicators .
S123、重复步骤S121~步骤S122,计算得到所有聚类中心数所对应的聚类中心矩阵、隶属度矩阵以及目标函数值。S123. Steps S121 to S122 are repeated to calculate the cluster center matrix, membership degree matrix and objective function value corresponding to all cluster center numbers.
S123、选取目标函数值最小的聚类中心数作为理想聚类中心数C,其对应的聚类中心矩阵为理想聚类中心矩阵,对应的隶属度矩阵即为第一变量集合中各评价指标对各理想场景特性的理想隶属关系。S123. Select the number of cluster centers with the smallest objective function value as the number of ideal cluster centers C, the corresponding cluster center matrix is the ideal cluster center matrix, and the corresponding membership degree matrix is the pair of evaluation indicators in the first variable set Ideal affiliation for each ideal scene characteristic.
优选地,上述步骤S13中,对形成的理想隶属关系进行偏差修正的方法,包括以下步骤:Preferably, in the above step S13, the method for correcting the deviation of the formed ideal membership relationship includes the following steps:
S131、将第二变量集合的变量概率矩阵与理想聚类中心矩阵进行比较,得到距离矩阵。S131. Comparing the variable probability matrix of the second variable set with the ideal cluster center matrix to obtain a distance matrix.
其中,将第二变量集合的变量概率矩阵与理想聚类中心矩阵进行比较,是指将第二变量集合的变量概率矩阵中每个元素值与理想聚类中心矩阵中各个聚类中心元素值的距离进行计算,也即距离矩阵中各元素的计算公式如下:Among them, comparing the variable probability matrix of the second variable set with the ideal cluster center matrix refers to comparing the value of each element in the variable probability matrix of the second variable set with the value of each cluster center element in the ideal cluster center matrix The distance is calculated, that is, the calculation formula of each element in the distance matrix is as follows:
dkl=|wk-w’l| (5)d kl =|w k -w' l | (5)
式中,wk为第二变量集合中各实际场景特性发生的概率值,w’l为理想聚类中心矩阵中的元素值。In the formula, w k is the probability value of occurrence of each actual scene characteristic in the second variable set, and w' l is the element value in the ideal cluster center matrix.
S132、采用模糊归一法对步骤S131中得到的距离矩阵进行归一化,得到模糊隶属度矩阵。S132. Normalize the distance matrix obtained in step S131 by using a fuzzy normalization method to obtain a fuzzy membership degree matrix.
其中,模糊隶属度矩阵中各值的计算公式如下:Among them, the calculation formula of each value in the fuzzy membership degree matrix is as follows:
式中,q为第二变量集合中变量因子的数量,C为理想聚类中心数,d’kl与d’lk均为第l个聚类中心与第k个场景特性的模糊隶属度、dlk与dkl均为l个聚类中心与第k个场景特性的距离。In the formula, q is the number of variable factors in the second variable set, C is the number of ideal cluster centers, d' kl and d' lk are the fuzzy membership degrees of the l-th cluster center and the k-th scene characteristic, d lk and d kl are the distances between the l cluster center and the kth scene characteristic.
S133、根据第二变量集合中实际场景特性的数量以及理想聚类中心数的比较结果,结合模糊隶属度矩阵,确定归类关系。S133. According to the comparison result of the number of actual scene characteristics in the second variable set and the number of ideal cluster centers, combined with the fuzzy membership degree matrix, determine the classification relationship.
具体地,对比第二变量集合中实际场景特性的数量q与理想聚类中心数C的大小:Specifically, compare the number q of the actual scene characteristics in the second variable set with the ideal cluster center number C:
若q>C,对于第二变量集合中的每个场景特性,选择d’kl=0的理想聚类中心进行归类;If q>C, for each scene characteristic in the second variable set, select the ideal cluster center of d' kl =0 to classify;
若q=C,则第二变量集合中的每个场景特性与理想聚类中心一一对应;If q=C, each scene feature in the second variable set corresponds to the ideal cluster center one by one;
若q<C,则对于每个理想聚类中心,选择d’lk=0的第二变量集合中每个场景特性进行归类,若存在某一聚类中心对应多个场景特性(即存在k1≠k2,使得d’lk1=d’lk2=0),此时计算隶属于此聚类中心的第一变量集合的评价指标与各场景特性的距离,各指标隶属于距离最近的场景特性。If q<C, then for each ideal clustering center, select each scene characteristic in the second variable set of d' lk =0 to classify, if there is a certain clustering center corresponding to multiple scene characteristics (that is, there is k 1 ≠ k 2 , so that d' lk1 =d' lk2 =0), at this time, calculate the distance between the evaluation index of the first variable set belonging to the cluster center and each scene characteristic, and each index belongs to the nearest scene characteristic .
S134、将隶属于各理想聚类中心的第一变量集合中的评价指标按照S133得到的归类关系隶属到第二变量集合中的相应的场景特性,得到第一变量集合中各评价指标对第二变量集合中实际场景特性的实际隶属关系,也即不同场景特性下的评价指标清单。S134. Subordinate the evaluation indicators in the first variable set belonging to each ideal clustering center to the corresponding scene characteristics in the second variable set according to the classification relationship obtained in S133, and obtain the comparison of each evaluation index in the first variable set with respect to the second variable set. The actual membership relationship of the actual scene characteristics in the bivariate set, that is, the list of evaluation indicators under different scene characteristics.
实施例2Example 2
本实施例以数字化系统的评价指标与其应用场景目标特征为例,对本发明提出的目标类别隶属度分析方法进行详细介绍。In this embodiment, the evaluation index of the digital system and its application scene target characteristics are taken as examples to introduce the target category membership analysis method proposed by the present invention in detail.
S1、确定评价指标集合和场景特性集合。S1. Determine a set of evaluation indicators and a set of scene characteristics.
例如,对于数字化系统应用于数字化基础设施场景,其评价指标集合A为:For example, for digital systems applied to digital infrastructure scenarios, the evaluation index set A is:
A=[工作效率提升度,成本节约程度,平台复用度,数据存储计算资源共享度,业务办理速度,界面友好度,易用性,系统响应速度,管理精益化,运维质保水平,易操作性,业务契合度,各系统应用率,系统迭代及时性,系统可靠性,数据安全性,数字化模式推广价值,存储资源利用度,企业文化水平,数据质量]A=[Work efficiency improvement degree, cost saving degree, platform reuse degree, data storage computing resource sharing degree, business processing speed, interface friendliness, ease of use, system response speed, lean management, operation and maintenance quality assurance level, ease of use Operability, business fit, application rate of each system, timeliness of system iteration, system reliability, data security, promotion value of digital model, storage resource utilization, corporate culture level, data quality]
对于数字化基础设施场景,其目标特征即场景特性集合B为:For the digital infrastructure scenario, its target feature, that is, the scenario feature set B is:
B=[运行保障能力可靠,提供基础支撑能力,适用兼容性强,用户体验感好]B=[Reliable operation support capability, basic support capability, strong applicability and good user experience]
S2、确定不同场景特性下的评价指标清单。S2. Determine a list of evaluation indicators under different scene characteristics.
S21、经专家调研得到各评价指标应用于给系统评价的概率如下:S21. The probabilities of each evaluation index applied to the system evaluation obtained through expert investigation are as follows:
概率矩阵A'=[0.78,0.5357,0.464,0.5,0.5714,0.4286,0.5,0.2143,0.3571,0.2857,0.1429,0.0714,0.5,0.4643,0.1429,0.1786,0.1429,0.1786]Probability matrix A'=[0.78, 0.5357, 0.464, 0.5, 0.5714, 0.4286, 0.5, 0.2143, 0.3571, 0.2857, 0.1429, 0.0714, 0.5, 0.4643, 0.1429, 0.1786, 0.1429, 0.1786]
经专家调研得到的概率矩阵B'=[0.244,0.402,0.084,0.024]Probability matrix B'=[0.244,0.402,0.084,0.024] obtained through expert investigation
S22、根据得到的概率矩阵,基于模糊分析技术得到评价指标集合中各指标对理想类别的隶属关系。S22. According to the obtained probability matrix, the subordination relationship of each index in the evaluation index set to the ideal category is obtained based on the fuzzy analysis technique.
本实施例采用改进的模糊K均值算法确定隶属关系,首先,应用枚举法对最佳聚类中心的数量进行枚举;其次,确定聚类中心数量后,采用模糊聚类的方法对指标进行聚类,判断和目标特征距离的远近,计算指标出现的隶属度关系,进行迭代,选择出理想聚类中心,并按照当前聚类进行隶属度的划分。In this embodiment, an improved fuzzy K-means algorithm is used to determine the affiliation relationship. First, the enumeration method is used to enumerate the number of optimal cluster centers; secondly, after the number of cluster centers is determined, the fuzzy clustering method is used to carry out index Clustering, judging the distance from the target feature, calculating the membership degree relationship of the index, performing iterations, selecting the ideal cluster center, and dividing the membership degree according to the current cluster.
具体地,包括以下步骤:Specifically, the following steps are included:
采用枚举法对n个评价指标进行聚类,得到分类结果。The enumeration method is used to cluster n evaluation indicators to obtain classification results.
以c=2:m的枚举-聚类算法进行迭代,聚类中心数为c,对此n个评价指标进行c聚类,得到c个聚类中心,用枚举法迭代,以n个评价指标出现的概率作为位置点进行分类,得到m个簇的分类结果。Use c=2:m enumeration-clustering algorithm to iterate, the number of cluster centers is c, perform c clustering on the n evaluation indicators, get c cluster centers, iterate with enumeration method, and use n The probability of the occurrence of the evaluation index is used as the location point to classify, and the classification results of m clusters are obtained.
具体步骤包括:Specific steps include:
a.确定初始的聚类中心个数为c=2。a. Determine the initial number of cluster centers as c=2.
b.设定初始隶属度矩阵U(0)。b. Set the initial membership degree matrix U(0).
c.计算得到聚类中心矩阵W。c. Calculate the cluster center matrix W.
d.根据得到的聚类中心矩阵W对初始隶属度矩阵进行迭代,得到新的隶属度矩阵U(L+1)。d. Iterate the initial membership degree matrix according to the obtained cluster center matrix W to obtain a new membership degree matrix U(L+1).
e.根据判定公式(13)判断是否满足收敛公式:若收敛,则确定了聚类中心,聚类完成,计算目标函数值,保存当前指标隶属度矩阵及聚类中心位置、目标函数值,然后返回步骤a,取c=c+1继续进行迭代;否则,返回步骤c。e. Judging whether the convergence formula is satisfied according to the judgment formula (13): if it converges, the clustering center is determined, the clustering is completed, the objective function value is calculated, and the current index membership matrix, the position of the clustering center, and the objective function value are saved, and then Return to step a, take c=c+1 to continue iteration; otherwise, return to step c.
f.比较各聚类中心数下的目标函数值,取目标函数值最小的聚类中心数为理想聚类中心数,相应的聚类中心位置为理想聚类中心位置及隶属度矩阵。f. Compare the objective function values under the number of cluster centers, take the cluster center number with the smallest objective function value as the ideal cluster center number, and the corresponding cluster center position is the ideal cluster center position and membership degree matrix.
分析发现当聚类中心数为5时,目标函数值最小,得到此时的隶属度矩阵及理想聚类中心位置。The analysis shows that when the number of cluster centers is 5, the value of the objective function is the smallest, and the membership matrix and ideal cluster center position at this time are obtained.
center=[0.1876 0.5068 0.7822 0.131 0.3117]T center=[0.1876 0.5068 0.7822 0.131 0.3117] T
S23、根据目标特征集合中的变量因子数量对已形成的隶属关系进行偏差修正,得到评价指标变量因子对目标特征变量因子的实际隶属关系。计算结果见下表1和表2所示。S23. Perform deviation correction on the established membership relationship according to the number of variable factors in the target feature set, and obtain the actual membership relationship of the evaluation index variable factors to the target feature variable factors. The calculation results are shown in Table 1 and Table 2 below.
表1场景特性与聚类中心的隶属关系Table 1 The affiliation relationship between scene characteristics and cluster centers
表2模糊隶属度Table 2 Fuzzy membership degree
基于上述计算,按基于偏差容忍的特征中心分类方法,将理想聚类中心矩阵中对应的评价指标分为4类,经处理后得隶属于第一簇和第四簇的指标统一放入实际第四类特征中心中,第二簇对应实际第二类特征中心,第三簇对应实际第三类特征中心,第五簇对应实际第一类特征中心。则最后得出数字化基础设施场景的指标清单分布如表:Based on the above calculations, according to the feature center classification method based on deviation tolerance, the corresponding evaluation indicators in the ideal cluster center matrix are divided into four categories, and after processing, the indicators belonging to the first cluster and the fourth cluster are uniformly put into the actual first cluster. Among the four types of feature centers, the second cluster corresponds to the actual second type feature centers, the third cluster corresponds to the actual third type feature centers, and the fifth cluster corresponds to the actual first type feature centers. Finally, the index list distribution of the digital infrastructure scenario is obtained as follows:
由所得隶属度矩阵可判断指标集合中的各评价指标分别隶属于[3 2 2 2 2 2 22 13 3 3 4 4 2 2 4 1 4 1]类。From the obtained membership degree matrix, it can be judged that each evaluation index in the index set belongs to [3 2 2 2 2 2 2 2 13 3 3 4 4 2 2 4 1 4 1] class respectively.
则构建变量集合A中各评价指标对变量集合B中各目标特征的实际隶属关系,生成基于场景的特征量化及指标提取清单如下表3所示。Then construct the actual affiliation relationship between each evaluation index in variable set A and each target feature in variable set B, and generate a scene-based feature quantification and index extraction list as shown in Table 3 below.
表3基于场景的特征量化及指标提取清单Table 3 Scenario-based feature quantification and index extraction list
S3、基于得到的实际隶属关系,进行待评价项目在预设场景特性下的评价。S3. Based on the obtained actual affiliation relationship, evaluate the item to be evaluated under the preset scene characteristics.
实施例3Example 3
上述实施例1提供了目标类别隶属度分析方法,与之相对应地,本实施例提供一种目标类别隶属度分析系统。本实施例提供的系统可以实施实施例1的目标类别隶属度分析方法,该系统可以通过软件、硬件或软硬结合的方式来实现。例如,该系统可以包括集成的或分开的功能模块或功能单元来执行实施例1各方法中的对应步骤。由于本实施例的系统基本相似于方法实施例,所以本实施例描述过程比较简单,相关之处可以参见实施例1的部分说明即可,本实施例提供的系统的实施例仅仅是示意性的。Embodiment 1 above provides a method for analyzing the degree of membership of a target category. Correspondingly, this embodiment provides a system for analyzing the degree of membership of a target category. The system provided in this embodiment can implement the target category membership analysis method in Embodiment 1, and the system can be realized by software, hardware or a combination of software and hardware. For example, the system may include integrated or separate functional modules or functional units to execute corresponding steps in the methods of Embodiment 1. Since the system of this embodiment is basically similar to the method embodiment, the description process of this embodiment is relatively simple. For relevant information, please refer to the part of the description of Embodiment 1. The embodiment of the system provided by this embodiment is only illustrative .
本实施例提供的目标类别隶属度分析系统,包括:The target category membership analysis system provided in this embodiment includes:
变量集合确定模块,用于对待评价项目的不同应用场景特性以及评价指标进行分析,得到待评价项目的评价指标集合和场景特性集合,分别记为第一变量集合和第二变量集合;The variable set determination module is used to analyze the characteristics of different application scenarios and evaluation indicators of the items to be evaluated, and obtain the evaluation index sets and scene characteristic sets of the items to be evaluated, which are respectively recorded as the first variable set and the second variable set;
隶属关系确定模块,用于对不同应用场景下第一变量集合中各评价指标出现的概率与第二变量集合中各场景特性的概率进行隶属度分析,得到不同场景特性下的评价指标清单;The membership relationship determination module is used to analyze the membership degree of the occurrence probability of each evaluation index in the first variable set and the probability of each scene characteristic in the second variable set under different application scenarios, and obtain a list of evaluation indicators under different scene characteristics;
评价模块,用于基于得到的不同场景特性下的评价指标清单,确定待评价项目在预设场景特性下的评价指标子集,基于评价指标子集得到待评价项目在预设场景特性下的评价结果。The evaluation module is used to determine the evaluation index subset of the project to be evaluated under the preset scene characteristics based on the obtained evaluation index list under different scene characteristics, and obtain the evaluation of the project to be evaluated under the preset scene characteristics based on the evaluation index subset result.
实施例4Example 4
本实施例提供一种与本实施例1所提供的目标类别隶属度分析方法对应的处理设备,处理设备可以是用于客户端的处理设备,例如手机、笔记本电脑、平板电脑、台式机电脑等,以执行实施例1的方法。This embodiment provides a processing device corresponding to the target category membership analysis method provided in Embodiment 1. The processing device may be a processing device for a client, such as a mobile phone, a notebook computer, a tablet computer, a desktop computer, etc. To carry out the method of embodiment 1.
所述处理设备包括处理器、存储器、通信接口和总线,处理器、存储器和通信接口通过总线连接,以完成相互间的通信。存储器中存储有可在所述处理器上运行的计算机程序,所述处理器运行所述计算机程序时执行本实施例1所提供的目标类别隶属度分析方法。The processing device includes a processor, a memory, a communication interface and a bus, and the processor, the memory and the communication interface are connected through the bus to complete mutual communication. A computer program that can run on the processor is stored in the memory, and the processor executes the target category membership analysis method provided in Embodiment 1 when running the computer program.
在一些实施例中,存储器可以是高速随机存取存储器(RAM:Random AccessMemory),也可能还包括非不稳定的存储器(non-volatile memory),例如至少一个磁盘存储器。In some embodiments, the memory may be a high-speed random access memory (RAM: Random Access Memory), and may also include a non-volatile memory, such as at least one disk memory.
在另一些实施例中,处理器可以为中央处理器(CPU)、数字信号处理器(DSP)等各种类型通用处理器,在此不做限定。In some other embodiments, the processor may be a central processing unit (CPU), a digital signal processor (DSP) and other types of general-purpose processors, which are not limited herein.
实施例5Example 5
本实施例1的目标类别隶属度分析方法可被具体实现为一种计算机程序产品,计算机程序产品可以包括计算机可读存储介质,其上载有用于执行本实施例1所述的目标类别隶属度分析方法的计算机可读程序指令。The target category membership analysis method in Embodiment 1 can be embodied as a computer program product, and the computer program product can include a computer-readable storage medium loaded with a method for performing the target category membership analysis described in Embodiment 1. computer readable program instructions for the method.
计算机可读存储介质可以是保持和存储由指令执行设备使用的指令的有形设备。计算机可读存储介质例如可以是但不限于电存储设备、磁存储设备、光存储设备、电磁存储设备、半导体存储设备或者上述的任意组合。A computer readable storage medium may be a tangible device that holds and stores instructions for use by an instruction execution device. A computer readable storage medium may be, for example, but is not limited to, an electrical storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any combination of the above.
本领域内的技术人员应明白,本发明的实施例可提供为方法、系统、或计算机程序产品。因此,本发明可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本发明可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art should understand that the embodiments of the present invention may be provided as methods, systems, or computer program products. Accordingly, the present invention can take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
本发明是参照根据本发明实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It should be understood that each procedure and/or block in the flowchart and/or block diagram, and a combination of procedures and/or blocks in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions may be provided to a general purpose computer, special purpose computer, embedded processor, or processor of other programmable data processing equipment to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing equipment produce a An apparatus for realizing the functions specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions The device realizes the function specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。最后应说明的是:以上实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的精神和范围。These computer program instructions can also be loaded onto a computer or other programmable data processing device, causing a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process, thereby The instructions provide steps for implementing the functions specified in the flow chart or blocks of the flowchart and/or the block or blocks of the block diagrams. Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that: it can still be Modifications are made to the technical solutions described in the foregoing embodiments, or equivalent replacements are made to some of the technical features; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the spirit and scope of the technical solutions of the various embodiments of the present invention.
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