Transmission network planning (TNP) is a large-scale, complex, with more non-linear discrete variables and the multi-objective constrained optimization problem. In the optimization process, the line investment, networ...Transmission network planning (TNP) is a large-scale, complex, with more non-linear discrete variables and the multi-objective constrained optimization problem. In the optimization process, the line investment, network reliability and the network loss are the main objective of transmission network planning. Combined with set pair analysis (SPA), particle swarm optimization (PSO), neural network (NN), a hybrid particle swarm optimization model was established with neural network and set pair analysis for transmission network planning (HPNS). Firstly, the contact degree of set pair analysis was introduced, the traditional goal set was converted into the collection of the three indicators including the identity degree, difference agree and contrary degree. On this bases, using shi(H), the three objective optimization problem was converted into single objective optimization problem. Secondly, using the fast and efficient search capabilities of PSO, the transmission network planning model based on set pair analysis was optimized. In the process of optimization, by improving the BP neural network constantly training so that the value of the fitness function of PSO becomes smaller in order to obtain the optimization program fitting the three objectives better. Finally, compared HPNS with PSO algorithm and the classic genetic algorithm, HPNS increased about 23% efficiency than THA, raised about 3.7% than PSO and improved about 2.96% than GA.展开更多
Assessment of debris flow hazards is important for developing measures to mitigate the loss of life and property and to minimize environmental damage. Two modified uncertainty models, Set Pair Analysis （SPA） and mod...Assessment of debris flow hazards is important for developing measures to mitigate the loss of life and property and to minimize environmental damage. Two modified uncertainty models, Set Pair Analysis （SPA） and modified Set Pair Analysis （mSPA）, were suggested to assess the regional debris flow hazard. A ease study was conducted in seven towns of the Beichuan county, Sichuan Province, China, to test and compare the application of these two models in debris flow hazard assessment. The results showed that mSPA only can fit for value-variables, but not for non value-variable assessment indexes, Furthermore, as for a given assessment index xi, mSPA only considers two cases, namely, when grade value increases with xi and when grade value decreases with xi. Thus, mSPA can not be used for debris flow hazard assessment but SPA is credible for the assessment because there are no limitations when using SPA model to assess the debris flow hazard. Therefore, in this study SPA is proposed for assessing debris flow hazard.展开更多
Measuring the geological disaster-risked situation, is a typical non-deterministic decision-making issue in disaster pre- vention and emergency response science for military engineering. Based on the given geological ...Measuring the geological disaster-risked situation, is a typical non-deterministic decision-making issue in disaster pre- vention and emergency response science for military engineering. Based on the given geological disaster risk analysis mechanism, geological disaster risk monitoring matrix was established, and risk characters’ value was obtained by mining the hidden information in the monitoring matrix with Entropy theory;with Identity, Discrepancy, and Contrary of Set Pair Analysis and distance measurement, geological disaster-risked model was erected for military engineering, and the steps were given for measuring geological disaster risk, which determined geological disaster-risked SPA force and order relationship of military engineering. Finally, case showed that model has the feasibility and effectiveness over measuring the geological disaster-risked situation for military engineering.展开更多
A comprehensive evaluation model based on improved set pair analysis is established. Considering the complexity in decision-making process, the model combines the certainties and uncertainties in the schemes, i.e., id...A comprehensive evaluation model based on improved set pair analysis is established. Considering the complexity in decision-making process, the model combines the certainties and uncertainties in the schemes, i.e., identical degree, different degree and opposite degree. The relations among different schemes are studied, and the traditional way of solving uncertainty problem is improved. By using the gray correlation to determine the difference degree, the problem of less evaluation indexes and inapparent linear relationship is solved. The difference between the evaluation parameters is smaller in both the fuzzy comprehensive evaluation model and fuzzy matter-element method, and the dipartite degree of the evaluation result is unobvious. However, the difference between each integrated connection degree is distinct in the improved set pair analysis. Results show that the proposed method is feasible and it obtains better effects than the fuzzy comprehensive evaluation method and fuzzy matter-element method.展开更多
There are many problems in Social Internet of Things(IoTs),such as complex topology information,different degree of association between nodes and overlapping communities.The idea of set pair information grain computin...There are many problems in Social Internet of Things(IoTs),such as complex topology information,different degree of association between nodes and overlapping communities.The idea of set pair information grain computing and clustering is introduced to solve the above problems so as to accurately describe the similarity between nodes and fully explore the multi-community structure.A Set Pair Three-Way Overlapping Community Discovery Algorithm for Weighted Social Internet of Things(WSIoT-SPTOCD)is proposed.In the local network structure,which fully considers the topological information between nodes,the set pair connection degree is used to analyze the identity,difference and reverse of neighbor nodes.The similarity degree of different neighbor nodes is defined from network edge weight and node degree,and the similarity measurement method of set pair between nodes based on the local information structure is proposed.According to the number of nodes'neighbors and the connection degree of adjacent edges,the clustering intensity of nodes is defined,and an improved algorithm for initial value selection of k-means is proposed.The nodes are allocated according to the set pair similarity between nodes and different communities.Three-way community structures composed of a positive domain,boundary domain and negative domain are generated iteratively.Next,the overlapping node set is generated according to the calculation results of community node membership.Finally,experiments are carried out on artificial networks and real networks.The results show that WSIoT-SPTOCD performs well in terms of standardized mutual information,overlapping community modularity and F1.展开更多
The paper has made a comparison among some decision models of G-DSS.Based on Set Pair Analysis,it integrates the advantages and shortcomings of decision models of G-DSS and puts forward SP-DSS.Furthermore,the principl...The paper has made a comparison among some decision models of G-DSS.Based on Set Pair Analysis,it integrates the advantages and shortcomings of decision models of G-DSS and puts forward SP-DSS.Furthermore,the principle of SP-DSS to make decision as well as its application to diagnose sick systems is expounded,and the program flow chart of SP-DSS is presented.展开更多
Due to the increasingly serious environmental pollution and destruction,especially humans' unreasonable activities,the ecological and economic system(EES) issues of Northwest region in China have attracted more an...Due to the increasingly serious environmental pollution and destruction,especially humans' unreasonable activities,the ecological and economic system(EES) issues of Northwest region in China have attracted more and more attention of the researchers.Aiming at evaluating its ecological and economic system health,a multi-objective evaluation framework called PressureState-Response(PSR) was established to describe the ecological and economic health situations.Meanwhile,an integrative set pair model combining set pair analysis(SPA) and fuzzy analytic hierarchy process(FAHP) was proposed to assess the ecological and economic system.Then the EES status of five northwest provinces(Shanxi,Gansu,Qinghai,Ningxia and Xinjiang) of Northwest region in China was evaluated during 1985 to 2009.The EES development trends of five provinces are obtained.In general,the health values of five provinces showed a rising trend.The health values of five provinces grew rapidly during 1985 to 2000.After 2000,the health values of five provinces still followed the present growth trend,but the growth is relatively smooth.The results show that the method proposed is effective for assessing the health of ecological and economic system.展开更多
A problem of the air pollution control in China is getting to know a regional contribution rate of internal and external source of PM2.5. In this paper,Set Pair Analysis（ SPA） method is proposed to calculate the con...A problem of the air pollution control in China is getting to know a regional contribution rate of internal and external source of PM2.5. In this paper,Set Pair Analysis（ SPA） method is proposed to calculate the contribution rate of PM2.5in Dongguan City. Due to geographic,meteorological factors and the low concentration of air pollutants in Qingxi area,the PM2.5in this place is mainly contributed by the regional transport of air pollutants from other inside areas of Dongguan,and less affected by the outside of Dongguan. So the concentration of PM2.5in Qingxi area can reflect the Dongguan＇s basic background concentration of PM2.5. On the basis of the basic background concentration,firstly the concentration of each pollutant components is divided into the internal part and the mixed part. Secondly using the source apportionment samples of five monitoring sites in Dongguan we can respectively construct a sample set A and an evaluation set B. Thirdly the SPA is operated onto the mixed part in terms of set B.At last the connection degree between the concentration of each pollutant components and external source and internal source will be calculated,that is the contribution rate. The research reveals that the contribution rate of internal source and external source of PM2.5in Dongguan City is 83%and 17% respectively,which roughly met expectations. This method is simple and effective and it can provide a reference for the government taking reduction measures to control PM2.5pollutants emission.展开更多
Most traditional assessment methods, which have complicated mathematic formulas,are difficult for calculation and application in system efficiency evaluation. A new approach to annual equipment maintenance system effi...Most traditional assessment methods, which have complicated mathematic formulas,are difficult for calculation and application in system efficiency evaluation. A new approach to annual equipment maintenance system efficiency assessment,the set pair analysis method( SPAM),has been proposed based on the principle of set pair analysis( SPA). Firstly,the evaluation index system of the annual equipment maintenance is proposed. Secondly,the evaluation model of the annual equipment maintenance efficiency based on the SPAM is built. Then the application processes of the SPAM are introduced. At the end of the paper,a real application example is given. The results of the application indicate that the proposed model is feasible and effective. It can give strong supports to improve the evaluation effect of the unit equipment maintenance support.展开更多
Selecting the optimal one from similar schemes is a paramount work in equipment design.In consideration of similarity of schemes and repetition of characteristic indices,the theory of set pair analysis(SPA)is proposed...Selecting the optimal one from similar schemes is a paramount work in equipment design.In consideration of similarity of schemes and repetition of characteristic indices,the theory of set pair analysis(SPA)is proposed,and then an optimal selection model is established.In order to improve the accuracy and flexibility,the model is modified by the contribution degree.At last,this model has been validated by an example,and the result demonstrates the method is feasible and valuable for practical usage.展开更多
In the situation where the sampling units in a study can be easily ranked than quantified, the ranked set sampling methods are found to be more efficient and cost effective as compared to SRS. In this paper we propose...In the situation where the sampling units in a study can be easily ranked than quantified, the ranked set sampling methods are found to be more efficient and cost effective as compared to SRS. In this paper we propose an estimator of the population mean using paired ranked set sampling (RSS) method. The proposed estimator is an unbiased estimator of the population mean when the set size is even. In case of odd set size the estimator is unbiased when the underlying distribution is symmetric. It is shown that the proposed estimator is more efficient than its counterpart SRS method for all distributions considered in this study.展开更多
Set Pair Analysis (SPA) is a new methodology to describe and process system uncertainty. It is different from stochastic or fuzzy methods in reasoning and operation, and it has been applied in many areas recently. In ...Set Pair Analysis (SPA) is a new methodology to describe and process system uncertainty. It is different from stochastic or fuzzy methods in reasoning and operation, and it has been applied in many areas recently. In this paper, the application of SPA in risk ranking is presented, which includes review of risk ranking, introduction of Connecting Degree (CD) that is a key role in SPA., Arithmetic and Tendency Grade (TG) of CDs, and a risk ranking approach proposed. Finally a case analysis is presented to illustrate the reasonability of this approach. It is found that this approach is very convenient to operate, while the ranking result is more comprehensible.展开更多
In this paper,we cancel the condition of stable subsets of [1] and have got the same result with [1],we have also got some sufficient and necessary conditions about congruence of permutation group (G,T) is '= '.
[Objective]The research aimed to study the application of ordinal set pair analysis in the annual precipitation prediction of Liao River basin.[Method]The ordinal theory was introduced into the set pair analysis model...[Objective]The research aimed to study the application of ordinal set pair analysis in the annual precipitation prediction of Liao River basin.[Method]The ordinal theory was introduced into the set pair analysis modeling,and the prediction model of set pair analysis was improved.A kind of rainfall prediction model based on the ordinal set pair analysis(OSPA)was put forward.The time sequence of annual rainfall in the hydrological rainfall station of Liao River basin during 1956-2006 was the research objective.The annual rainfall during 1998-2006 was predicted by the model,and the error analysis was given.[Result]In the relative errors of predicted results by ordinal set pair analysis,there were six relative errors within 5%,which occupied 66.7%of the total prediction number.One relative error was during 5%-10%,which occupied 11.1%of the total prediction number.Two relative errors were during 10%-15%,which occupied 22.2%of the total prediction number.All the relative errors were less than 20%,which met the precision requirement of annual rainfall prediction in Forecast Specification of Hydrological Information.[Conclusion]The rainfall prediction based on the ordinal set pair analysis model had high precision,and the prediction result was ideal.It was suitable for the annual rainfall prediction.展开更多
Drought risk assessment plays a crucial role in effective drought management.However,it is often challenging due to the intricate relationships among various indicators and the lack of practical guidance.This study pr...Drought risk assessment plays a crucial role in effective drought management.However,it is often challenging due to the intricate relationships among various indicators and the lack of practical guidance.This study presents a drought risk assessment model developed using the Semi-partial Quadratic Subtraction Set Pair Potential(SQSSPP)method,which is derived from the theory of set pair analysis.The indicator system comprises 21 indicators divided into four subsystems.The SQSSPP method utilizes uncertainty information in the overall development trend of regional drought risk states by extracting connection numbers from the Sub-traction Set Pair Potential(SSPP),improving the reliability of evaluation results.The SQSSPP method is validated through a case study of Suzhou City,China,from 2007 to 2017.Three grades are used to evaluate comprehensive drought risk.The result shows an overall decreasing trend over time,with a level III risk in 2010 and consistently at level II from 2011 to 2017.Indicators in the hazard and resilience subsystems are the primary factors influencing drought risk in the Suzhou City.Specific indicators requiring emphasis for improvement are identified,including arable land rate,agricultural population ratio,reservoir regulation rate,current water supply capacity,and irrigation index.The SQSSPP method not only provides targeted drought risk assessment but also provides valuable guidance for future water resource management.While the study focuses on Suzhou City,the proposed approach is applicable to broader-scale risk management evaluations and practices.展开更多
为深入探究民航危险品运输收运工作人员与教员、专家的风险认知差异情况,提升收运工作人员的风险信息寻求与处置能力,首先,基于风险信息搜寻与加工(risk information seeking and processing,RISP)模型理论,构建了民航危险品运输收运人...为深入探究民航危险品运输收运工作人员与教员、专家的风险认知差异情况,提升收运工作人员的风险信息寻求与处置能力,首先,基于风险信息搜寻与加工(risk information seeking and processing,RISP)模型理论,构建了民航危险品运输收运人员风险认知差异模型;然后,根据该模型,建立了个人特征、知觉风险特征、情感响应等7个维度下的收运人员风险认知差异测度指标体系;最后,采用集对分析方法对各测度指标进行了联系度计算,识别出关键影响因素,并对产生风险认知差异的原因进行了系统分析,进而提出了应对策略。结果表明,民航危险品运输收运工作人员与教员、专家在工作年限(F2)、描述性规范(F10)、结果期待(F14)、信息可及性(F15)、可信度(F16)、负向情感(F8)和所需信息水平(F12)7个关键影响因素上存在显著的认知差异。研究结果可为优化民航危险品运输收运工作人员的风险认知与决策水平,从而有效提高危险品运输的安全性与应急响应能力提供参考。展开更多
基金Projects(70373017 70572090) supported by the National Natural Science Foundation of China
文摘Transmission network planning (TNP) is a large-scale, complex, with more non-linear discrete variables and the multi-objective constrained optimization problem. In the optimization process, the line investment, network reliability and the network loss are the main objective of transmission network planning. Combined with set pair analysis (SPA), particle swarm optimization (PSO), neural network (NN), a hybrid particle swarm optimization model was established with neural network and set pair analysis for transmission network planning (HPNS). Firstly, the contact degree of set pair analysis was introduced, the traditional goal set was converted into the collection of the three indicators including the identity degree, difference agree and contrary degree. On this bases, using shi(H), the three objective optimization problem was converted into single objective optimization problem. Secondly, using the fast and efficient search capabilities of PSO, the transmission network planning model based on set pair analysis was optimized. In the process of optimization, by improving the BP neural network constantly training so that the value of the fitness function of PSO becomes smaller in order to obtain the optimization program fitting the three objectives better. Finally, compared HPNS with PSO algorithm and the classic genetic algorithm, HPNS increased about 23% efficiency than THA, raised about 3.7% than PSO and improved about 2.96% than GA.
基金supported by the National Natural Science Foundation of China (Grant Nos. 51279116)the New Teacher Fund of Ministry of Education of China (Grant No. 20120181120124)+1 种基金the Excellent Scholar Fund of Sichuan UniversityOpen Fund Program of State key Laboratory of Hydraulics and River Engineering, Sichuan University, China (Grant No. 0901)
文摘Assessment of debris flow hazards is important for developing measures to mitigate the loss of life and property and to minimize environmental damage. Two modified uncertainty models, Set Pair Analysis （SPA） and modified Set Pair Analysis （mSPA）, were suggested to assess the regional debris flow hazard. A ease study was conducted in seven towns of the Beichuan county, Sichuan Province, China, to test and compare the application of these two models in debris flow hazard assessment. The results showed that mSPA only can fit for value-variables, but not for non value-variable assessment indexes, Furthermore, as for a given assessment index xi, mSPA only considers two cases, namely, when grade value increases with xi and when grade value decreases with xi. Thus, mSPA can not be used for debris flow hazard assessment but SPA is credible for the assessment because there are no limitations when using SPA model to assess the debris flow hazard. Therefore, in this study SPA is proposed for assessing debris flow hazard.
文摘Measuring the geological disaster-risked situation, is a typical non-deterministic decision-making issue in disaster pre- vention and emergency response science for military engineering. Based on the given geological disaster risk analysis mechanism, geological disaster risk monitoring matrix was established, and risk characters’ value was obtained by mining the hidden information in the monitoring matrix with Entropy theory;with Identity, Discrepancy, and Contrary of Set Pair Analysis and distance measurement, geological disaster-risked model was erected for military engineering, and the steps were given for measuring geological disaster risk, which determined geological disaster-risked SPA force and order relationship of military engineering. Finally, case showed that model has the feasibility and effectiveness over measuring the geological disaster-risked situation for military engineering.
基金Supported by Foundation for Innovative Research Groups of National Natural Science Foundation of China(No.51021004)Tianjin Research Program of Application Foundation and Advanced Technology(No.12JCZDJC29200)National Key Technology R&D Program in the 12th Five-Year Plan of China(No.2011BAB10B06)
文摘A comprehensive evaluation model based on improved set pair analysis is established. Considering the complexity in decision-making process, the model combines the certainties and uncertainties in the schemes, i.e., identical degree, different degree and opposite degree. The relations among different schemes are studied, and the traditional way of solving uncertainty problem is improved. By using the gray correlation to determine the difference degree, the problem of less evaluation indexes and inapparent linear relationship is solved. The difference between the evaluation parameters is smaller in both the fuzzy comprehensive evaluation model and fuzzy matter-element method, and the dipartite degree of the evaluation result is unobvious. However, the difference between each integrated connection degree is distinct in the improved set pair analysis. Results show that the proposed method is feasible and it obtains better effects than the fuzzy comprehensive evaluation method and fuzzy matter-element method.
文摘There are many problems in Social Internet of Things(IoTs),such as complex topology information,different degree of association between nodes and overlapping communities.The idea of set pair information grain computing and clustering is introduced to solve the above problems so as to accurately describe the similarity between nodes and fully explore the multi-community structure.A Set Pair Three-Way Overlapping Community Discovery Algorithm for Weighted Social Internet of Things(WSIoT-SPTOCD)is proposed.In the local network structure,which fully considers the topological information between nodes,the set pair connection degree is used to analyze the identity,difference and reverse of neighbor nodes.The similarity degree of different neighbor nodes is defined from network edge weight and node degree,and the similarity measurement method of set pair between nodes based on the local information structure is proposed.According to the number of nodes'neighbors and the connection degree of adjacent edges,the clustering intensity of nodes is defined,and an improved algorithm for initial value selection of k-means is proposed.The nodes are allocated according to the set pair similarity between nodes and different communities.Three-way community structures composed of a positive domain,boundary domain and negative domain are generated iteratively.Next,the overlapping node set is generated according to the calculation results of community node membership.Finally,experiments are carried out on artificial networks and real networks.The results show that WSIoT-SPTOCD performs well in terms of standardized mutual information,overlapping community modularity and F1.
文摘The paper has made a comparison among some decision models of G-DSS.Based on Set Pair Analysis,it integrates the advantages and shortcomings of decision models of G-DSS and puts forward SP-DSS.Furthermore,the principle of SP-DSS to make decision as well as its application to diagnose sick systems is expounded,and the program flow chart of SP-DSS is presented.
基金supported in partially by the National Society Science Fund of China(Grant No.09CJY020)the Special Fund of State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering,China(Grant No. 2011585312)+1 种基金the Fundamental Research Funds for the Central Universities of Hohai University2010 Jiangsu Province Qing Lan Project
文摘Due to the increasingly serious environmental pollution and destruction,especially humans' unreasonable activities,the ecological and economic system(EES) issues of Northwest region in China have attracted more and more attention of the researchers.Aiming at evaluating its ecological and economic system health,a multi-objective evaluation framework called PressureState-Response(PSR) was established to describe the ecological and economic health situations.Meanwhile,an integrative set pair model combining set pair analysis(SPA) and fuzzy analytic hierarchy process(FAHP) was proposed to assess the ecological and economic system.Then the EES status of five northwest provinces(Shanxi,Gansu,Qinghai,Ningxia and Xinjiang) of Northwest region in China was evaluated during 1985 to 2009.The EES development trends of five provinces are obtained.In general,the health values of five provinces showed a rising trend.The health values of five provinces grew rapidly during 1985 to 2000.After 2000,the health values of five provinces still followed the present growth trend,but the growth is relatively smooth.The results show that the method proposed is effective for assessing the health of ecological and economic system.
基金Supported by National Natural Science Foundation of China(71171089)Research for PM_(2.5) Contamination Characteristics and Prevention and Control Countermeasures in Dongguan City(Dongcaidan[2013]222)
文摘A problem of the air pollution control in China is getting to know a regional contribution rate of internal and external source of PM2.5. In this paper,Set Pair Analysis（ SPA） method is proposed to calculate the contribution rate of PM2.5in Dongguan City. Due to geographic,meteorological factors and the low concentration of air pollutants in Qingxi area,the PM2.5in this place is mainly contributed by the regional transport of air pollutants from other inside areas of Dongguan,and less affected by the outside of Dongguan. So the concentration of PM2.5in Qingxi area can reflect the Dongguan＇s basic background concentration of PM2.5. On the basis of the basic background concentration,firstly the concentration of each pollutant components is divided into the internal part and the mixed part. Secondly using the source apportionment samples of five monitoring sites in Dongguan we can respectively construct a sample set A and an evaluation set B. Thirdly the SPA is operated onto the mixed part in terms of set B.At last the connection degree between the concentration of each pollutant components and external source and internal source will be calculated,that is the contribution rate. The research reveals that the contribution rate of internal source and external source of PM2.5in Dongguan City is 83%and 17% respectively,which roughly met expectations. This method is simple and effective and it can provide a reference for the government taking reduction measures to control PM2.5pollutants emission.
文摘Most traditional assessment methods, which have complicated mathematic formulas,are difficult for calculation and application in system efficiency evaluation. A new approach to annual equipment maintenance system efficiency assessment,the set pair analysis method( SPAM),has been proposed based on the principle of set pair analysis( SPA). Firstly,the evaluation index system of the annual equipment maintenance is proposed. Secondly,the evaluation model of the annual equipment maintenance efficiency based on the SPAM is built. Then the application processes of the SPAM are introduced. At the end of the paper,a real application example is given. The results of the application indicate that the proposed model is feasible and effective. It can give strong supports to improve the evaluation effect of the unit equipment maintenance support.
文摘Selecting the optimal one from similar schemes is a paramount work in equipment design.In consideration of similarity of schemes and repetition of characteristic indices,the theory of set pair analysis(SPA)is proposed,and then an optimal selection model is established.In order to improve the accuracy and flexibility,the model is modified by the contribution degree.At last,this model has been validated by an example,and the result demonstrates the method is feasible and valuable for practical usage.
文摘In the situation where the sampling units in a study can be easily ranked than quantified, the ranked set sampling methods are found to be more efficient and cost effective as compared to SRS. In this paper we propose an estimator of the population mean using paired ranked set sampling (RSS) method. The proposed estimator is an unbiased estimator of the population mean when the set size is even. In case of odd set size the estimator is unbiased when the underlying distribution is symmetric. It is shown that the proposed estimator is more efficient than its counterpart SRS method for all distributions considered in this study.
文摘Set Pair Analysis (SPA) is a new methodology to describe and process system uncertainty. It is different from stochastic or fuzzy methods in reasoning and operation, and it has been applied in many areas recently. In this paper, the application of SPA in risk ranking is presented, which includes review of risk ranking, introduction of Connecting Degree (CD) that is a key role in SPA., Arithmetic and Tendency Grade (TG) of CDs, and a risk ranking approach proposed. Finally a case analysis is presented to illustrate the reasonability of this approach. It is found that this approach is very convenient to operate, while the ranking result is more comprehensible.
文摘In this paper,we cancel the condition of stable subsets of [1] and have got the same result with [1],we have also got some sufficient and necessary conditions about congruence of permutation group (G,T) is '= '.
基金Supported by National Eleventh Five-year Water Special Item(2009ZX07208-010-T004)High-level Talent Introduction Plan Item,North China University of Water Resources and Electric Power(200926)+2 种基金Natural Science Research of Henan Education Department(2009A570002)Young Core Teacher Plan Item in Henan Province(2009GGJ3-061)Graduate Education Innovation Plan Foundation,North China University of Water Resources and Electric Power(YK2010-12)
文摘[Objective]The research aimed to study the application of ordinal set pair analysis in the annual precipitation prediction of Liao River basin.[Method]The ordinal theory was introduced into the set pair analysis modeling,and the prediction model of set pair analysis was improved.A kind of rainfall prediction model based on the ordinal set pair analysis(OSPA)was put forward.The time sequence of annual rainfall in the hydrological rainfall station of Liao River basin during 1956-2006 was the research objective.The annual rainfall during 1998-2006 was predicted by the model,and the error analysis was given.[Result]In the relative errors of predicted results by ordinal set pair analysis,there were six relative errors within 5%,which occupied 66.7%of the total prediction number.One relative error was during 5%-10%,which occupied 11.1%of the total prediction number.Two relative errors were during 10%-15%,which occupied 22.2%of the total prediction number.All the relative errors were less than 20%,which met the precision requirement of annual rainfall prediction in Forecast Specification of Hydrological Information.[Conclusion]The rainfall prediction based on the ordinal set pair analysis model had high precision,and the prediction result was ideal.It was suitable for the annual rainfall prediction.
基金Natural Science Foundation of Anhui Province,Grant/Award Numbers:2308085US13,2208085US03National Natural Science Foundation of China,Grant/Award Number:U2243228+1 种基金the Belt and Road Special Foundation of the National Key Laboratory of Water Disaster Prevention,Grant/Award Number:2022nkms04The Ministry of Education of Humanities and Social Science Project,Grant/Award Number:23YJCZH332。
文摘Drought risk assessment plays a crucial role in effective drought management.However,it is often challenging due to the intricate relationships among various indicators and the lack of practical guidance.This study presents a drought risk assessment model developed using the Semi-partial Quadratic Subtraction Set Pair Potential(SQSSPP)method,which is derived from the theory of set pair analysis.The indicator system comprises 21 indicators divided into four subsystems.The SQSSPP method utilizes uncertainty information in the overall development trend of regional drought risk states by extracting connection numbers from the Sub-traction Set Pair Potential(SSPP),improving the reliability of evaluation results.The SQSSPP method is validated through a case study of Suzhou City,China,from 2007 to 2017.Three grades are used to evaluate comprehensive drought risk.The result shows an overall decreasing trend over time,with a level III risk in 2010 and consistently at level II from 2011 to 2017.Indicators in the hazard and resilience subsystems are the primary factors influencing drought risk in the Suzhou City.Specific indicators requiring emphasis for improvement are identified,including arable land rate,agricultural population ratio,reservoir regulation rate,current water supply capacity,and irrigation index.The SQSSPP method not only provides targeted drought risk assessment but also provides valuable guidance for future water resource management.While the study focuses on Suzhou City,the proposed approach is applicable to broader-scale risk management evaluations and practices.
文摘为深入探究民航危险品运输收运工作人员与教员、专家的风险认知差异情况,提升收运工作人员的风险信息寻求与处置能力,首先,基于风险信息搜寻与加工(risk information seeking and processing,RISP)模型理论,构建了民航危险品运输收运人员风险认知差异模型;然后,根据该模型,建立了个人特征、知觉风险特征、情感响应等7个维度下的收运人员风险认知差异测度指标体系;最后,采用集对分析方法对各测度指标进行了联系度计算,识别出关键影响因素,并对产生风险认知差异的原因进行了系统分析,进而提出了应对策略。结果表明,民航危险品运输收运工作人员与教员、专家在工作年限(F2)、描述性规范(F10)、结果期待(F14)、信息可及性(F15)、可信度(F16)、负向情感(F8)和所需信息水平(F12)7个关键影响因素上存在显著的认知差异。研究结果可为优化民航危险品运输收运工作人员的风险认知与决策水平,从而有效提高危险品运输的安全性与应急响应能力提供参考。
