CN113449965A - Performance evaluation method and system based on entropy weight TOPSIS method - Google Patents
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Abstract
The invention relates to a performance evaluation method and a system based on an entropy weight TOPSIS method, wherein the method comprises the following steps: step 1, selecting a research area and determining an evaluation object; step 2, summarizing a poverty alleviation mode, and classifying and selecting objects; step 3, establishing an evaluation index system; step 4, collecting index data; step 5, calculating the weight of each index by adopting an entropy weight method; step 6, evaluating and judging according to an evaluation object and an optimal target by using original data through a TOPSIS method; step 7, obtaining a performance ranking by using a TOPSIS method; and 8, drawing a wind rose map of the villages in different poverty relief modes. According to the method, a corresponding rural poverty-support performance evaluation system is constructed from a target layer, a criterion layer and an index layer, and the weight calculation is carried out on the rural poverty-support performance evaluation system by using an entropy weight TOPSIS method, so that the comprehensive score of each rural area is obtained, the calculation mode is more objective and reasonable, the dynamic change of data is adapted, the weighting is flexible, and the rural area construction condition can be tracked in real time.
Description
Technical Field
The invention relates to the technical field of performance evaluation and management systems, in particular to a performance evaluation method and system based on an entropy weighting TOPSIS method.
Background
At present, an accurate poverty alleviation performance evaluation system is constructed based on the characteristics of accurate poverty alleviation, such as accurate identification, accurate assistance, accurate management and the like, but in the transition period, the evaluation system needs to not only take care of the accurate poverty alleviation effect, but also consider the five happy goals of the country, so that the existing performance evaluation system does not meet the requirements of the era, and a comprehensive performance evaluation system under the requirements of a new policy is urgently needed to be established.
Disclosure of Invention
In order to solve the technical problems in the prior art, the invention provides a performance evaluation method and a performance evaluation system based on an entropy weight TOPSIS method.
The method is realized by adopting the following technical scheme: a performance evaluation method based on an entropy weight TOPSIS method comprises the following steps:
step 1, selecting a research area, and determining an evaluation object: selecting a poor village which is approved by all levels of governments and accepted by a supporting unit to support;
step 2, summarizing poverty alleviation modes, classifying and selecting objects: summarizing poverty relief modes of the selected objects according to poverty relief working ideas and difference of poverty relief treatment logics, and classifying the selected objects according to the poverty relief modes;
step 3, establishing an evaluation index system: setting a target layer, a standard layer and an index layer;
step 4, collecting index data: collecting each index data through a plurality of ways of on-site investigation, online and offline multi-subject interview and rural statistical yearbook, and proofreading the collected data to unify units;
step 5, calculating the weight of each index by adopting an entropy weight method;
step 6, evaluating and judging according to an evaluation object and an optimal target by using original data through a TOPSIS method;
step 7, obtaining the closest degree value sequence of the evaluation objects of each scheme and the optimal scheme by using a TOPSIS method, and obtaining the final performance ranking;
step 8, performing wind rose diagram drawing on the villages in different poverty relief modes: and (3) carrying out standardization processing on the operation result of the comprehensive scores of the weight and the index data, setting the total score of each evaluation object to be 1, calculating index value ratios of four dimensions, and respectively drawing four types of wind rose charts according to the poverty-relieving classification mode.
The system of the invention is realized by adopting the following technical scheme: a performance evaluation system based on an entropy weighted TOPSIS method comprises the following steps:
the evaluation object selection module selects poverty villages which are approved by governments at all levels and accepted by the aid units to be assisted as evaluation objects;
the evaluation object classification module is used for summarizing poverty relief modes of the selected objects according to the poverty relief working idea and the difference of poverty relief treatment logics and classifying the selected objects according to the poverty relief modes;
the evaluation index system establishing module is used for setting a target layer, a standard layer and an index layer;
the index data collection module collects each index data through a plurality of ways of on-site investigation, online and offline multi-subject interview and rural statistical yearbook inquiry, corrects the collected data and unifies units;
the index weight acquisition module is used for calculating the weight of each index by adopting an entropy weight method;
the evaluation judgment module is used for carrying out evaluation judgment according to the evaluation object and the optimal target by using a TOPSIS method;
the performance ranking acquisition module acquires the closest degree value sequence of the evaluation objects of all the schemes and the optimal scheme by using a TOPSIS method to acquire a final performance ranking;
the wind rose diagram drawing module is used for drawing wind rose diagrams of villages in different poverty alleviation modes, standardizing the operation result of the comprehensive scores of the weight and the index data, enabling the overall score of each evaluation object to be 1, calculating the ratio of index values in four dimensions, and drawing the wind rose diagrams of four types according to the poverty alleviation classification modes.
Compared with the prior art, the invention has the following advantages and beneficial effects:
the invention applies the weight obtained by utilizing the entropy weight method to the calculation of the weighted normalized evaluation matrix, obtains the relative proximity degree of each evaluation object and the positive ideal scheme by utilizing the TOPSIS method, takes the relative proximity degree as the basis of evaluation sequencing, and is more objective and reasonable by utilizing the calculation mode of the entropy weight TOPSIS method, thereby avoiding the subjective influence of the traditional expert on the evaluation result, adapting to the dynamic change of data, flexibly weighting and being capable of tracking the construction condition of the village in real time.
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FIG. 1 is a flow chart of the method of the present invention;
fig. 2 is a multi-dimensional performance evaluation diagram of each poverty alleviation mode of the invention.
Detailed Description
The present invention will be described in further detail with reference to examples and drawings, but the present invention is not limited thereto.
Examples
As shown in fig. 1, the performance evaluation method based on the entropy weighting TOPSIS method mainly includes the following steps:
step 1, selecting a research area, and determining an evaluation object: selecting a poor village which is approved by all levels of governments and accepted by a supporting unit to support;
step 2, summarizing poverty alleviation modes, classifying and selecting objects: summarizing poverty relief modes of the selected objects according to poverty relief working ideas and difference of poverty relief treatment logics, and classifying the selected objects according to the poverty relief modes;
step 3, establishing an evaluation index system: setting a target layer, a standard layer and an index layer; wherein the target layer is used for evaluating the rural poverty alleviation performance; the criterion layer comprises four dimensions of society, economy, culture and ecology, and the condition of rural poverty relief and development is examined in all directions; the indexes of the index layer are selected according to the on-site investigation condition and by fully considering the accessibility of data and the characteristics of each poverty alleviation mode;
step 4, collecting index data: collecting each index data through a plurality of ways such as on-site investigation, online and offline multi-subject interview, rural statistical yearbook inquiry and the like, and proofreading the collected data to unify units; the poverty-relieving effect perception quality and poverty-relieving effect public satisfaction of culture dimensionality are obtained through a Likter five-star scale, and a score value is obtained;
step 5, calculating the weight of each index by adopting an entropy weight method, wherein the entropy weight method is an objective weighting method and the weight is determined according to the information quantity reflected by the variation degree of each evaluation index value; the specific calculation method is as follows:
setting m evaluation objects and n evaluation indexes, wherein xijFor the value of the jth index of the ith scheme, the obtained original data matrix is:
specifically, the selected indexes are benefit type indexes taking the number as a unit, and are all forward indexes; in order to eliminate the interference of the magnitude difference of each index on the result, the index values of each village are subjected to range standardization one by one, so that the index values are converted into standard values in an interval [0,1], and the calculation formula is as follows:
in the formula, yijIs a standardized index value; max (x)ij)，min(xij) The maximum value and the minimum value in the index j are respectively;
calculating the proportion of the ith scheme in the j index:
calculating the entropy value of the j index:
where k is greater than 0, ln is a natural logarithm, ejNot less than 0; wherein, the constant k is related to the number m of samples, generally let k equal to 1/lnm, and then 0 ≦ e ≦ 1;
calculating the difference coefficient of the j index, and for the j index, obtaining the index value yijThe larger the difference is, the larger the evaluation effect on the scheme is, the smaller the entropy value is:
gj＝1-ej (j＝1,2…n)
weighting:
step 6, the TOPSIS method is a method for judging and evaluating according to the approximation degree between an evaluation object and an optimal target by fully utilizing original data; the specific calculation process is as follows:
from the normalized decision matrix Y ═ (Y)ij)m×nAnd the weight vector W ═ ω (ω ═ c)1,ω2,…ωj) Forming a weighted normalized decision matrix: z ═ Zij)m×n＝(yijωj)
Determining an ideal scheme and a negative ideal scheme to respectively form an ideal solution vector z+And a negative ideal solution vector z-：
Calculating the closeness degree of each evaluation object to the optimal scheme
Proximity to worst case scenario
Calculating the closeness degree C of each evaluation object to the optimal schemeiThe value:
wherein:
step 7, obtaining C of each scheme by using TOPSIS methodiSorting the values to obtain a final performance ranking; wherein, CiThe larger the value, the better the scheme.
Step 8, performing wind rose diagram drawing on the villages in different poverty relief modes: the method comprises the steps of carrying out standardization processing on the operation results of comprehensive scoring of the weight and index data, enabling the total score of each evaluation object to be 1, calculating index value ratios of four dimensions, respectively drawing four types of wind-rose pictures according to poverty-relieving classification modes, carrying out in-depth analysis on multi-dimensional development conditions under each mode, based on effect differences of various poverty-relieving modes on the whole and subdivision dimensions, compensating short plates and strong and weak terms for the future village happiness, taking the synergetic development of the rural multi-component value space as a gist, consolidating poverty-relieving results, and continuously promoting the comprehensive joy of the multi-dimensional village.
In this embodiment, the present invention is described in more detail by taking the data of eight provinces, namely, the eight poverty villages, namely: zhangbeicun, Shanghai village, Duck bridge village and Yangling village in Meizhou city; zhanjiang Naomai village and Shanyun village; shantou, Qiaochun, Shantailo, Unioncun.
S1, the research range is locked in Guangdong province, although the Guangdong Hongkong and Australia Bay district is one of the engines of the economic development of China, the regional development is unbalanced, and the Guangdong province still has poverty. Through inquiring government official networks, news and public number push, eight poverty villages of east, west and north of Guangdong are selected: zhangbeicun, Shanghai village, Duck bridge village and Yangling village in Meizhou city; zhanjiang Naomai village and Shanyun village; the Shantou Mingchun and the Shantaili UnionCun are selected as province, level and poverty villages.
S2, classifying 8 villages in a poverty alleviation mode, wherein the leghorny village and the Cogeneration village are in a tourism promotion poverty alleviation mode as shown in table 1; the Naroucun and the Shanghai village are scientific and technological power-assisted poverty-relieving modes; zhangbeicun and Yanglincun are used as industry upgrading poverty alleviation modes; duck Qiaovillage and mountain village are parties to build a leading poverty relief mode.
TABLE 1 Fugu mode summary of each village
S3, determining 24 quantitative indexes of performance evaluation based on the four dimensions of economy, culture, society and ecology by considering the characteristics of each poverty alleviation mode and the data acquirability, as shown in Table 2.
TABLE 2 rural poverty relief performance evaluation index system
And S4, collecting index data of each village by the invention team through a plurality of ways such as on-site research, on-line interview, inquiry and statistics of yearbook, and checking the collected data to unify units. The poverty alleviation effect perception quality and poverty alleviation effect public satisfaction degree of the culture dimensionality are obtained by data obtained by distributing questionnaires on the spot, and the scores are respectively taken as a total average value. The questionnaire Cronbach's alpha value is 0.960>0.7, KMO value is 0.940>0.8, and the confidence level is good, as shown in Table 3.
TABLE 3 results of confidence and validity test of questionnaire indexes
And S5, calculating the index weight by adopting an entropy weight method. The entropy weight method is an objective weighting method, and the principle is that the weight is determined according to the information quantity reflected by the variation degree of each evaluation index value, and the following results are obtained:
TABLE 4 weight of each evaluation index of poverty alleviation performance
S6, setting the obtained objective weight vector W to (ω)1,ω2,…ωj) Introducing into decision matrix, constructing weighted normalization matrix Z, and determining optimal scheme Z+With the worst case z-Calculating the evaluation object and the maximumProximity of preferred embodiment
Proximity to worst case scenario
Calculating the closeness degree C of each evaluation object to the optimal schemeiThe following results were obtained in table 5:
TABLE 5 comprehensive poverty alleviation performance CiValue of
And S7, ranking the comprehensive performance of each village, and comparing the specific situation of the poverty alleviation performance of each village in different poverty alleviation modes, as shown in the following table 6.
TABLE 6 comprehensive lean-care performance ranking
S8, analyzing the economic, social, cultural and ecological dimensions of four poverty-relief mode villages one by one, and standardizing the operation result of the comprehensive score of the weight and the index data to draw a wind-rose chart, as shown in figure 2. Deep analysis of multidimensional development conditions in various modes by using a wind rose diagram finds that poverty alleviation working ideas and modes have characteristics, and local differences and multidimensional unbalanced development problems also exist in practices in different modes. Therefore, the next stage of work is recommended to strengthen the advantages and simultaneously further strengthen the short plate so as to realize comprehensive joy of industry, talents, culture, ecology and organization.
Based on the same conception, the invention also provides a performance evaluation system based on the entropy weight TOPSIS method, which comprises the following steps:
the evaluation object selection module selects poverty villages which are approved by governments at all levels and accepted by the aid units to be assisted as evaluation objects;
the evaluation object classification module is used for summarizing poverty relief modes of the selected objects according to the poverty relief working idea and the difference of poverty relief treatment logics and classifying the selected objects according to the poverty relief modes;
the evaluation index system establishing module is used for setting a target layer, a standard layer and an index layer; wherein the target layer is used for evaluating the rural poverty alleviation performance; the criterion layer comprises four dimensions of society, economy, culture and ecology, and the condition of rural poverty relief and development is examined in all directions; the indexes of the index layer are selected according to the on-site investigation condition and by fully considering the accessibility of data and the characteristics of each poverty alleviation mode;
the index data collection module collects each index data through a plurality of ways such as on-site investigation, online and offline multi-subject interview, rural statistical yearbook inquiry and the like, and proofreads the collected data to unify units; the poverty-relieving effect perception quality and poverty-relieving effect public satisfaction of culture dimensionality are obtained through a Likter five-star scale, and a score value is obtained;
the index weight acquisition module is used for calculating the weight of each index by adopting an entropy weight method;
the evaluation judgment module is used for carrying out evaluation judgment according to the approximation degree between the evaluation object and the optimal target by using a TOPSIS method;
the performance ranking acquisition module acquires the closest degree value sequence of the evaluation objects of all the schemes and the optimal scheme by using a TOPSIS method to acquire a final performance ranking;
the wind rose diagram drawing module is used for drawing wind rose diagrams of villages in different poverty alleviation modes, standardizing the operation result of the comprehensive scores of the weight and the index data, enabling the overall score of each evaluation object to be 1, calculating the ratio of index values in four dimensions, and drawing the wind rose diagrams of four types according to the poverty alleviation classification modes.
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.
Claims (8)
1. A performance evaluation method based on an entropy weight TOPSIS method is characterized by comprising the following steps:
step 1, selecting a research area, and determining an evaluation object: selecting a poor village which is approved by all levels of governments and accepted by a supporting unit to support;
step 2, summarizing poverty alleviation modes, classifying and selecting objects: summarizing poverty relief modes of the selected objects according to poverty relief working ideas and difference of poverty relief treatment logics, and classifying the selected objects according to the poverty relief modes;
step 3, establishing an evaluation index system: setting a target layer, a standard layer and an index layer;
step 4, collecting index data: collecting each index data through a plurality of ways of on-site investigation, online and offline multi-subject interview and rural statistical yearbook, and proofreading the collected data to unify units;
step 5, calculating the weight of each index by adopting an entropy weight method;
step 6, evaluating and judging according to an evaluation object and an optimal target by using original data through a TOPSIS method;
step 7, obtaining the closest degree value sequence of the evaluation objects of each scheme and the optimal scheme by using a TOPSIS method, and obtaining the final performance ranking;
step 8, performing wind rose diagram drawing on the villages in different poverty relief modes: and (3) carrying out standardization processing on the operation result of the comprehensive scores of the weight and the index data, setting the total score of each evaluation object to be 1, calculating index value ratios of four dimensions, and respectively drawing four types of wind rose charts according to the poverty-relieving classification mode.
2. The method for performance assessment based on the entropy weighted TOPSIS method as claimed in claim 1, wherein in step S3, the target layer is to assess the rural poverty alleviation performance; the criterion layer comprises four dimensions of society, economy, culture and ecology, and the condition of rural poverty relief and development is examined in all directions; the indexes of the index layer are selected according to the on-site investigation condition and by fully considering the accessibility of data and the characteristics of each poverty alleviation mode.
3. The method for performance assessment based on the entropy weighted TOPSIS method as claimed in claim 2, wherein the cultural dimension of the perception quality of poverty alleviation performance and the public satisfaction degree of poverty alleviation performance are obtained by a Liktat five-star scale, and the average value is obtained.
4. The performance evaluation method based on the entropy weighted TOPSIS method as claimed in claim 1, wherein the specific process of calculating the weights of the indexes by using the entropy weighting method in step 5 is as follows:
setting m evaluation objects and n evaluation indexes, wherein xijFor the value of the jth index of the ith scheme, the obtained original data matrix is:
specifically, the selected indexes are benefit type indexes taking the number as a unit, and are all forward indexes; and (3) carrying out range standardization treatment on the index values of all villages one by one to convert the index values into standard values in an interval [0,1], wherein the calculation formula is as follows:
in the formula, yijIs a standardized index value; max (x)ij)，min(xij) The maximum value and the minimum value in the index j are respectively;
calculating the proportion of the ith scheme in the j index:
calculating the entropy value of the j index:
where k is greater than 0, ln is a natural logarithm, ejNot less than 0; wherein, the constant k is related to the number m of samples, generally let k equal to 1/lnm, and then 0 ≦ e ≦ 1;
calculating the difference coefficient of the j index:
gj＝1-ej(j＝1,2…n)
weighting:
5. the performance evaluation method based on the entropy weighted TOPSIS method as claimed in claim 1, wherein the specific calculation process of evaluation judgment according to the evaluation object and the optimal target in step 6 is as follows:
from the normalized decision matrix Y ═ (Y)ij)m×nAnd the weight vector W ═ ω (ω ═ c)1,ω2,…ωj) Forming a weighted normalized decision matrix: z ═ Zij)m×n＝(yijωj)
Determining an ideal scheme and a negative ideal scheme to respectively form an ideal solution vector z+And a negative ideal solution vector z-：
Calculating the closeness degree of each evaluation object to the optimal scheme
Proximity to worst case scenario
Calculating the closeness degree C of each evaluation object to the optimal schemeiThe value:
wherein:
6. a performance evaluation system based on an entropy weighted TOPSIS method is characterized by comprising the following steps:
the evaluation object selection module selects poverty villages which are approved by governments at all levels and accepted by the aid units to be assisted as evaluation objects;
the evaluation object classification module is used for summarizing poverty relief modes of the selected objects according to the poverty relief working idea and the difference of poverty relief treatment logics and classifying the selected objects according to the poverty relief modes;
the evaluation index system establishing module is used for setting a target layer, a standard layer and an index layer;
the index data collection module collects each index data through a plurality of ways of on-site investigation, online and offline multi-subject interview and rural statistical yearbook inquiry, corrects the collected data and unifies units;
the index weight acquisition module is used for calculating the weight of each index by adopting an entropy weight method;
the evaluation judgment module is used for carrying out evaluation judgment according to the evaluation object and the optimal target by using a TOPSIS method;
the performance ranking acquisition module acquires the closest degree value sequence of the evaluation objects of all the schemes and the optimal scheme by using a TOPSIS method to acquire a final performance ranking;
the wind rose diagram drawing module is used for drawing wind rose diagrams of villages in different poverty alleviation modes, standardizing the operation result of the comprehensive scores of the weight and the index data, enabling the overall score of each evaluation object to be 1, calculating the ratio of index values in four dimensions, and drawing the wind rose diagrams of four types according to the poverty alleviation classification modes.
7. The performance evaluation system based on the TOPSIS method is characterized in that a target layer in an evaluation index system establishment module is used for evaluating the rural poverty alleviation performance; the criterion layer comprises four dimensions of society, economy, culture and ecology, and the condition of rural poverty relief and development is examined in all directions; the indexes of the index layer are selected according to the on-site investigation condition and by fully considering the accessibility of data and the characteristics of each poverty alleviation mode.
8. The system of claim 7, wherein the perceptual quality of poverty-leanness and effectiveness and the public satisfaction of poverty-leanness and effectiveness of cultural dimensions are obtained from the Liktie five-star scale, and the mean value is obtained.
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| CN114186862A (en) * | 2021-12-14 | 2022-03-15 | 国网福建省电力有限公司 | Entropy weight TOPSIS model-based double-layer energy performance evaluation system |
| CN114565249A (en) * | 2022-02-18 | 2022-05-31 | 西安建筑科技大学 | Community disaster prevention toughness evaluation method based on improved entropy weight-CRITIC method |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN114186862A (en) * | 2021-12-14 | 2022-03-15 | 国网福建省电力有限公司 | Entropy weight TOPSIS model-based double-layer energy performance evaluation system |
| CN114565249A (en) * | 2022-02-18 | 2022-05-31 | 西安建筑科技大学 | Community disaster prevention toughness evaluation method based on improved entropy weight-CRITIC method |
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