Table of Content

25 July 2017, Volume 26 Issue 7

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Theory Analysis and Methodology Study

Multi-compartment Vehicle Dispatching and Routing for Product Oil Distribution

ZHANG Yuan-kai, SUN Li-jun, HU Xiang-pei

2017, 26(7):  1-9.  DOI: 10.12005/orms.2017.0156

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This paper investigates the dispatching and routing problem of heterogonous and multi-compartment vehicles in the distribution of product oil, which has to simultaneously consider the assignment of heterogonous vehicles, the loading policies of multi-compartment vehicles and routing decisions. A dispatching and routing model of heterogonous and multi-compartment vehicles is developed with the objective of minimizing total operating cost which consists of vehicle dispatching cost and fuel cost. To reduce the complexity of model solution, based on C-W algorithm, a vehicle loading policy called “splitting demandcombining load” is presented, and the optimized routing scheme of vehicles is obtained through two parallel neighborhood searching operators of Relocate and Exchange. Finally, the efficiency of the model and algorithm proposed in this paper for solving large-scale dispatching and routing problem of heterogonous and multi-compartment vehicles in the distribution of product oil is verified by computational results. Through further computational experiment, the following rules are revealed: 1)the multi-compartment vehicle is superior to the single compartment vehicle in operating costs; 2)the vehicle with large capacity is suitable for long distance distribution, while the vehicle with small capacity is suitable for short distance distribution; and 3)the heterogonous vehicle fleet is superior to the single type vehicle fleet in operating costs in practice of the distribution of product oil, which provide a reference for the vehicle configuration of product oil distribution company.

Project Payment Scheduling Optimization under DifferentBonus-penalty Structures

LI Lan-ying, HE Zheng-wen, LIU Ren-jing

2017, 26(7):  10-20.  DOI: 10.12005/orms.2017.0157

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Bonus-penalty structure has great effect on profits of both sides of contract, and this paper studies the project payment scheduling problem under different bonus-penalty structures from the prospective of contractor and client. Firstly, the author identifies the problem studied and constructs optimal model based on different bonus-penalty structures from the perspective of contractor and client respectively. Then, a simulated annealing heuristic is developed as for the problems’ characters. Ultimately, a practical instance is solved, and the profits of contractor and client under different bonus-penalty structures are compared. Moreover, a sensitive analysis is made. The results show that different bonus-penalty structures have great effect on profits of contractor and client, and different rates of bonus and penalty also affect contractor and client’s benefits. The study in this paper can provide a quantitative decision support for establishment of bonus-penalty structure in project.

A Stochastic Dynamic Programming for Assemble-To-Order SystemOptimization with Capacitated Inventory

LI Zhi, TAN De-qing

2017, 26(7):  21-28.  DOI: 10.12005/orms.2017.0158

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This paper considers an Assemble-To-Order(ATO)system with capacitated inventory that produces n components with a single assembled product. Based on Markov Decision Process(MDP)framework, we create optimization algorithm to study the optimal production and inventory policy of ATO system. The results show that the optimal policy is state dependent, and the strategy of one component depends on the inventory of others. That is, the optimal production policy can be described as a series of base-stock levels, and optimal allocation policy can be described as a series of rationing levels. Both these two types of levels are increasing with the on hand inventory of other components. The dynamic programming theory, optimal control theory and numerical calculation method are used to study the existence of the optimal control strategy, and optimal value calculation. The project will build the decision model that corresponds better to the practical ATO system, establish the theory and carry out the experimental validation. The influence of system parameters on optimal policy is also proposed in this work.

Research on the Benefit Distribution of Dynamic Alliance EnterpriseMobile Payment Business Model Based on Cooperative Game

WANG Xuan-fei, WU Ying-liang, HUANG Yuan

2017, 26(7):  29-38.  DOI: 10.12005/orms.2017.0159

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Mobile payment is a popular development direction in recent years, but our country has not formed a unified business model at present. Previous studies have not quantified the value contribution among each participant and led to conflicts in benefit distribution. To solve the above problem, cooperative game theory is adopted to study the value contribution of communications operators, financial institutions and the third-party payment platforms in mobile payment business model, and resource investment, risk sharing, innovation ability are advanced to quantify the contribution of different participants based on Shapley value method and finally we get the comprehensive quantitative value of each participant in cooperation alliance. The result shows that the application of the modified Shapley value method is fairer and more scientific in benefit distribution of mobile payment business model; it can provide a theory reference for solving cooperative conflict, the construction of collaborative innovation and revenue sharing mobile payment business model.

Game Modeling of Construction Claims Based on FIDIC Contract

LIU Hui-min, CHEN Kun-wei

2017, 26(7):  39-47.  DOI: 10.12005/orms.2017.0160

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Claim is the common focus to each participant of the construction engineering and the claim decisions affect the interests of the owner and the contractor directly. As Chinese contractor taking part in more and more international construction projects, FIDIC contract conditions are arousing more attention than before, the claim clauses of which get wide recognition. This research locates characteristics of construction claims through the courses and classifications of FIDIC contract in order to establish the game model to analyze the claim strategy and decision path. Firstly, the research analyzes the matching degree between game theory, Bayes Rule and claim decision, then, constructs the basic game model of construction claim. Secondly, based on the four scenarios of construction claim, the research conducts respectively the game model of limited rounds with complete information, the game model under the influence of time value, the game model of limited rounds with incomplete information and the game model under not completely opposite. By solving the Nash equilibrium of the four game models, the research simulates the decision-making process to seek the optimal strategy of engineering participants. Participants should truthfully claim under complete information game. Under the incomplete information game, the contractor will adopt strategy to raise the claim amount, and the owner should refuse it to negotiate. In any case, all participants should take reasonable concessions to compromise the claim amount over negotiation.

Cooperation Mechanism Research for Joint Regional Air Pollution Controlof Beijing-Tianjin-Hebei Based on the Fuzzy Game Behavior

SUN Lei, SUN Shao-rong

2017, 26(7):  48-53.  DOI: 10.12005/orms.2017.0161

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At present, China faces a serious problem with air pollution as primary pollutants PM2.5 have become the focus of the study and discussion. This article talks about how to form effective governance mechanism of joint regional air pollution in Beijing-Tianjin-Hebei. First we develop the characteristic function of joint regional cooperation pollution governance and the participation level function of fuzzy cooperative game. Secondly we obtain cost allocation scheme combining the actual environmental data of Beijing-Tianjin-Hebei with the method of Shapley value in fuzzy game. At last we analyze the relationship between cost allocation value and annual average concentration, the quantity of polluted days and other environmental indicators. The results show that the greater of the budget used for pollution control during the evaluation period, the smaller the cost allocation of participation level of the pollution. Annual average concentration and pollution days have direction relationship with the cost allocation value of participants. At the same time the effective investment in controlling pollution should be encouraged on the part of provinces or cities. In the initial investment, the greater the effect of the pollution governance, the better, and the smaller of post-cost allocation value. Accordingly, the effective cooperation economic benefit coordination mechanism and incentive mechanism of the pollution governance can effectively control joint regional atmospheric pollution.

Game Analysis and Mechanism Choices of Supplier Product Adulteration Behavior

CAO Yu, HU Han-li, WAN Guang-yu

2017, 26(7):  54-63.  DOI: 10.12005/orms.2017.0162

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Supplier adulteration can affect the quality and safety of final product. This paper studies a decentralized supply chain with one supplier and one buyer and establishes a Stackelberg game model with a buyer as the leader. It compares the effect of three mechanism(deferred payment mechanism, inspection mechanism and traceability mechanism)on the supplier adulteration. Our analysis shows that the inspection mechanism and traceability mechanism cannot completely deter the suppliers from product adulteration, whereas the deferred payment mechanism can. Production costs difference between the adulterated and unadulterated product is the main factor influencing the three mechanisms. Furthermore, increasing the cost of the product liability can reduce the supplier's adulteration behavior effectively, while the financing rate differences between the buyer and supplier would increase the cost of supply chain of supplier to prevent adulteration. Buyers can reduce adulteration by decreasing inspection costs and traceability costs. Finally, the numerical examples are given to verify the above conclusions. We further analyze the influence of different parameters on the optimal decision and profit.

A Comparison of Renewable Electricity Support Policies Under an Oligopolistic Electricity Market

LIU Ceng-ceng, LI Nan, CHU Yong-jie

2017, 26(7):  64-73.  DOI: 10.12005/orms.2017.0163

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The premium Feed-in Tariff(FIT)and Renewable Portfolio Standard(RPS)policy provide investors with incentive to participate in the renewable power production. Based on the intermittency of renewable power and a two-stage decision process of generators, we develop an oligopolistic competition model and apply the game theory to get the equilibrium of the power market. With the data of Israel’s power market, we analyze the impact of the number of generators, subsidy price, the proportion of renewable power and the investment cost of renewable technology on the capacity investment of the power market. Considering the welfare effect of the premium FIT and RPS, we compare the electricity price, consumer surplus and social welfare with these two policies.

Risk Sharing Combined Contract Design for Three-level SupplyChain with Output Uncertainty

JIAN Ming, WANG Yong-long

2017, 26(7):  74-81.  DOI: 10.12005/orms.2017.0164

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This paper researches the coordination of a three level supply chain system consisting of one supplier, one manufacturer and one retailer. The decision variables include the raw material quantity of the supplier, the order quantity of the manufacturer and the order quantity of the retailer. The uniqueness of the supply chain coordination benchmark under centralized decision-making is analyzed, and the coordination of buy back contract, buy back and output risk sharing combined contract demonstrated. The results show that the buyback contract used by the manufacturer and the retailer can improve the supply chain performance, but can’t achieve the global optimization of the supply chain. From the perspective of risk sharing, the buy back and output risk sharing combined contract can not only coordinate the supply chain effectively, but also obtain the Pareto improvement of the profit of the members of the supply chain under certain conditions. The correctness of the above conclusions is verified by a numerical example, and the effect of the buyback price on the order quantity, the amount of raw material input and the profit are analyzed. At the same time, we also analyze the contract preferences of each supply chain members.

Negotiation Model for “Company+Farmer”Contract Farming SupplyChain Under Random Yield Environment

YE Fei, WANG Ji-pu

2017, 26(7):  82-91.  DOI: 10.12005/orms.2017.0165

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The coordination for contract farming supply chain consisting of a risk-averse farmer and a risk-neutral agribusiness firm is investigated in this paper. We develop a model that incorporates the yield uncertainty and yield-dependent retail price of agricultural products. The farmer’s production quantity and the firm’s wholesale price decisions are determined based on Nash negotiation model. The analysis suggests that there exist equilibrium solutions for the Nash negotiation model under yield uncertainty and yield-dependent retail price environment. The optimal production quantity and wholesale price under Nash negotiation model will be higher than that of the decentralized model. The optimal production quantity increases in the farmer’s risk aversion, while the wholesale price decreases in the farmer’s risk aversion. In addition, the Nash negotiation model can help to achieve the Pareto improvement for both the risk-averse farmer and the risk-neutral agribusiness firm.

Research on Joint Decision for Order Quantity Allocation and OrderScheduling in Assembly Manufacturing Enterprise

LI Zhan-cheng, LIU Xiao-bing, FENG Xiao-chun, BO Hong-guang

2017, 26(7):  92-103.  DOI: 10.12005/orms.2017.0166

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Generally, chaos production planning and back order issues are mainly caused by the incomplete kit of parts owing to unreliable supply quantity in multi-variety and small batch production environment. In this paper, we study the integrated order quantity allocation and order scheduling problem, considering the situation of allowing shortage and partial backlogging with price discount. The objective functions in this research are to minimize the expected purchasing cost and to minimize the cost related to order scheduling. Based on linear weighted sum method, the model was transferred into a single objective optimization model. The solution space is huge and traditional mathematical programming method can not solve the model directly, from the perspective of enhancing the search performance, an improved particle swarm optimization algorithm was designed by incorporating local search scheme based on multi-neighborhood structure and mutation scheme based on random and reinitiate population. The feasibility and effectiveness of the model and algorithm was verified through numerical examples. The results show that, compared to the traditional decentralized decision making, the model in this paper has more advantage to reducing overall cost and the improved algorithm shows better searching performance, which could provide a reference for enterprises’ operating decisions under supply uncertainty.

Two-sided Matching Decision Method with Interval-Valued Hesitant Fuzzy Information based on Bidirectional Projection Method

ZHAO Xiao-dong, ZANG Yu-qi, SUN Wei

2017, 26(7):  104-109.  DOI: 10.12005/orms.2017.0167

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For the past decades, the two-sided matching decision making problem has always been the focus of many scholars, however, there is a still blank in using the bidirectional projection method to solve two-sided matching decision making problems with interval-valued hesitant fuzzy information. With regard to the two-sided matching problem based on interval-valued hesitant fuzzy information, in this paper proposed a matching decision making method. Firstly, the problem description of two-sided matching with interval-valued hesitant fuzzy information is given. Secondly, according to the preference information, we construct the interval-valued hesitant fuzzy matrix, and using bidirectional projection method to aggregate the interval-valued hesitant fuzzy information, bidirectional projection values matrix is constructed; Using traditional Topsis method construct the close degree matrix; Furthermore, a two-sided matching optimization model is developed, the two-sided matching result is obtained by solving the model. Finally, an illustrative example is given to illustrate the effectiveness and feasibility of the proposed method.

Application Research

Effect of Transportation Structure Change on CO₂ Emission

CHAI Jian, XING Li-min2, ZHOU You-hong, WEI Bao-lai, WANG Shou-yang

2017, 26(7):  110-116.  DOI: 10.12005/orms.2017.0168

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As the hazy weather attacks the whole of China in recent years, the issue of energy conservation and emission reduction in transport industry has become the top priority of China’s energy and environmental strategies. In view of this, this paper intends to discuss the impact of transport structure optimization on traffic emission reduction. Considering other nations’ traffic demonstration effect and data availability, this paper involved China, the United States, the European Union and Japan as cross-sections, builds panel data model, of which the data we chose including passenger-freight turnover(road, railway, waterage and civil aviation)and transport carbon emissions from 1991~2011. The empirical results show that the increase of the share of waterage and railway will lead to traffic carbon emissions reduction, especially, 1% increase in Japan railway proportion would make the carbon emission performance decrease by 3.63%; 1% increase in EU waterage proportion would make the carbon emission performance by 22.11%; respectively ranking first of such two transit ways. The corresponding effect in China is only 0.38% and 0.06%. Finally, in context of “the reform of supply side”, we propose corresponding suggests from the respects of passenger transport and freight transport.

Research on Pricing and Revenue Coordination Strategy of Online Group Buying

WU Cui-lian, WANG Qian, TIAN Xin, CAI Li

2017, 26(7):  117-124.  DOI: 10.12005/orms.2017.0169

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How to achieve a win-win situation between the group buying website and participating merchant is a big challenge in our country. A game model of pricing and revenue sharing is built according to the characteristics of online grouping buying in China. Then, the corresponding coordination strategy is given using the Nash negotiation model. Finally, a numerical example is designed to analyze the influence of the change of the main parameters to price and revenue. The results show that online group buying is better for the website and participating merchant when the size of sensitive market is larger, and the advertising effect is bigger or the unit cost is smaller.

Trust Model Based on Attack Spread Ability in Distributed Network

SONG Ming-qiu, WANG Lin, SHAO Shuang

2017, 26(7):  125-131.  DOI: 10.12005/orms.2017.0170

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According to the distribution network characteristics and the disadvantages of related trust model, a novel trust model considering attack spread ability in distributed network has been proposed. Based on the features of attack spread abilities, the model presents the update formula of trust, and the overall trust combines direct trust and indirect trust. Finally, the trust model’s protocol is designed and its simulation is conducted. The result shows that the simulation of the proposed model approximates the actual network operation better. It can avoid attacks from malicious nodes and improve delivery success rate. This model can also improve the accuracy of network node trust evaluation in distributed network environment. It is significant to establish the trusted network transmission path.

Spatial Econometrics Study of Impact of Fiscal and FinancialSupport on the Technology Innovation in China

PAN Xiong-feng, ZHANG Jing, YAN Yao-bo

2017, 26(7):  132-137.  DOI: 10.12005/orms.2017.0171

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Based on the construction of spatial econometric model of the impact of fiscal and financial support on the technology innovation, The paper uses the China’s panel data to measure the direct effect of fiscal and financial support on the technology innovation in china and the spatial spillover effect between different provinces. The results show that fiscal and financial support both plays a significant role in promoting the technology innovation, but the financial support has more obvious effect on it. Fiscal and financial support also both has a significant spatial spillover effect on the neighbour area.

A FTA-Based Method for Estimating the FailureProbability of Barrier Lake Dam

LIU Yang, FAN Zhi-ping, YOU Tian-hui, WANG Xiao-rong

2017, 26(7):  138-146.  DOI: 10.12005/orms.2017.0172

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A key problem with eliminating the damage of barrier lake is how to estimate the failure probability of barrier lake dam given that different response actions are carried out. It is an important research topic that deserves more attention. This paper proposes a method based on Fault Tree Analysis(FTA)for estimating the failure probability of barrier lake dam. First, by analyzing the practical backgrounds of eliminating the damages of barrier lakes, the basic framework of the fault tree for failures of barrier lake dams is constructed based on FTA. Then, according to the knowledge of related academic fields, the analysis of historical cases, the subjective judgments of experts and the fusion of the subjective judgments of multiple experts, and the probabilities of each basic event in the fault tree can be estimated with respect to different time periods and different response actions. Furthermore, according to the constructed fault tree and the probabilities of basic events, an approach is proposed for estimating the failure probabilities of the barrier lake dam in different time periods. Finally, a case study is given to illustrate the feasibility and validity of the proposed method.

Study on the Development Index of Urban AtmosphericEnvironment Based on DPSIR Model

YANG Wen-pei, HE Shu-hui, WANG Jian-ming, YANG Fan

2017, 26(7):  147-153.  DOI: 10.12005/orms.2017.0173

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With the accelerated process of industrialization and urbanization in China, the development of urban atmospheric environment has attracted more and more attention from the academic circle. The urbanization process and other factors to urban atmospheric environment brings challenges and threats, and therefore, the index concept is introduced to the field of urban atmospheric environment evaluation, according to factors such as urbanization and urban atmospheric environment between the development of the response mechanism. Based on DPSIR model it establishes a set of urban atmospheric environment development index to measure index system. Taking Hangzhou as an example, we measure and analyze the city’s 2005~2014 atmospheric environment development index. For urban atmospheric environment development status of measure and comparative analysis it provides a set of method systems, making the urban atmospheric environment development index serve the government management, urban residents and other stakeholders, and bring new changes for the development of urban atmospheric environment management.

Dynamic Comprehensive Evaluation of the High-tech Industry TechnologyInnovation Ability Based on TOPSIS Grey Relation Projection Method——In the Perspective of Integration of Beijing-Tianjin-Hebei Region

FAN De-cheng, DU Ming-yue

2017, 26(7):  154-163.  DOI: 10.12005/orms.2017.0174

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In order to realize the dynamic comprehensive evaluation of the high-tech industry technology innovation ability of Beijing-Tianjin-Hebei Region, this paper establishes evaluation index system from three aspects, including technology innovation input, technology innovation output and technology innovation environment, uses the TOPSIS grey relation projection method to calculate the close degree of grey relation projection, introduces coordination degree model to evaluate regional coordination development level and conducts quadratic weighted calculation. Comparing the static evaluation results of cross section and panel dynamic evaluation results, it turns out to be that the high-tech industry technology innovation ability of Beijing-Tianjin-Hebei Region exists different degree of volatility and differences and the industry development imbalance is moderate. Research suggests that, on the one hand, Beijing should make full use of their own advantages to ensure the steady rise of the high-tech industry technology innovation ability, on the other hand, Tianjin and Hebei should maintain the continuous, healthy and stable development of the high-tech industries. Beijing-Tianjin-Hebei Region should strive to strengthen regional industry cooperation and complementary advantages, drive efficient allocation of innovation resources and promote the optimization and upgrading of the industrial structure to gradually reduce the regional differences of industry technology innovation ability and realize the integration of development.

In the Continuous Interval Number Ordered Interval PointOperator and Its Sensitivity Analysis

LU Xiu-jun, WU He-cheng

2017, 26(7):  164-169.  DOI: 10.12005/orms.2017.0175

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The information of decision making problems is given in the form of interval numbers. Taking into account the characteristics of non-uniform distribution of interval numbers, the OIP(ordered intermediate operator)is proposed to avoid extreme value errors in the determination of interval numbers. This operator will use the concept of median to determine interval numbers. The weight is 1/2 of the value of the basic unit interval monotonic function(BUM function). The interval number is defined as a real number and the properties of the BUM function and the boundedness of the operators are studied. Then the OIP operator is extended to a more general IW-OIP operator. By comparing the response sensitivity of the OIP operator and the COWA operator to the attitude parameters and the interval length, the conclusion is obtained that the OIP operator is more robust to the attitude parameters and is more sensitive to the length of the interval under certain conditions. In the risk preference, the higher sensitivity of the endpoints on the interval is, the greater comprehensive attribute value of the scheme is. In the risk aversion, the higher sensitivity of the lower point of the interval is, the greater comprehensive attribute value of the scheme is. Finally, a numerical example is used to demonstrate the feasibility and effectiveness of the proposed operator.

A Study on Evaluation of Tourist Satisfaction Degreewith Many kinds of information

ZENG Xiang-tian, LI Deng-feng, YU Gao-feng

2017, 26(7):  170-174.  DOI: 10.12005/orms.2017.0176

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Aming at the evaluation of tourist satisfaction with different kinds of information, a new evaluation method is developed on the basis of the relative closeness degree. Firstly, the evaluation of tourist satisfaction index system is established. Secondly, real numbers, intervals, triangular fuzzy numbers, linguistic variables and intuitionistic fuzzy numbers are used to represent the evaluation information, the relative closeness of positive ideal solution of various schemes are established,and the evaluation steps are given. Finally, the example shows the method is effective and rational.

Management Science

Empirical research on science and technology powering theChinese Dream based on IPP-PLS

CAO Xia, YU Juan

2017, 26(7):  175-182.  DOI: 10.12005/orms.2017.0177

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The great rejuvenation of the Chinese nation is called the Chinese Dream, which of the realization is great vision for China throughout in the new historical period. The time-series data from 2001 to 2010 is taken as samples. Based on the essential intension of Chinese Dream, the measure indexes of the process of Chinese Dream are established on national prosperity, rejuvenation and people's well-being, and the improved projection pursuit method (IPP) is employed to evaluate the process index of Chinese Dream. The validation indexes of science and technology powering the Chinese Dream (STPCD) are constructed on scientific and technological talent, fund, innovative outcomes and consciousness, and the partial least squares regression (PLS) are introduced for empirical analysis. Results show, the process index present stable increasing trend. There is a positive correlation between the process of Chinese Dream and the four aspects on science and technology. The promotion of high quality talents, R&D staffs, invention patents and intellectual property protection on Chinese Dream are stronger than common talents, scientific and technical papers, R&D funds and achievement transformation, respectively. Based on empirical analysis results, the STPCD implementation path is dissected.

Study on Enterprise Technology Acquisition Synergy and Its Relationshipwith Innovation Performance from the Industry-University-Institute Cooperation

LI Xin, LI Bai-zhou, ZHAO Jian-yu

2017, 26(7):  183-192.  DOI: 10.12005/orms.2017.0178

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Selecting partner and sources of technology and completing technology acquisition through Industry-University-Institute cooperation are very important for enterprises to promote the innovation capability and economic efficiency. Therefore, more and more scholars pay much attention to the different effects and mechanisms between technology acquisition and innovation performance. But few scholars have made a systematic analysis of the synergistic mechanism of enterprise technology acquisition and its relationship with innovation performance. This paper constructs a synergistic development model of enterprise technology acquisition, completes a systematic empirical analysis of the synergistic development of enterprise technology acquisition in China, and has made a further study of the causal relationship between enterprise technology acquisition synergy and innovation performance. The result shows that enterprise technology acquisition system in China is the state of synergistic evolution. But the foreign technology acquisition subsystem undulates. There are two value chains in enterprise technology acquisition system: technology acquisition synergy drives technology cumulative performance, and economic performance stimulates technology acquisition synergistic evolution. We still lack the capability to transform accumulated technical performance into economic performance.

Public Rental Housing Exiting Method Based on Fuzzy Integral Fusionin Multi-source Heterogeneous Data Environment

CHANG Zhi-peng, CHEN Li-rong

2017, 26(7):  193-199.  DOI: 10.12005/orms.2017.0179

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To effectively solve the exiting problem of public rental housing, an exiting method is proposed. The exiting method can fuse multi-source heterogeneous data using fuzzy integral and fuzzy measure. In the exiting method, a standardization method of multi-source heterogeneous data is firstly given and then an identification method of fuzzy measure is proposed. It is simple and easy to calculate. The basic principle of the identification method is that the global importance degree of a single attribute is calculated using the relative importance degree of a single attribute and the interaction degree between attributes and the importance degree of the subset of attributes is calculated based on the monotonicity and boundedness of fuzzy measure using scoring method. Finally, an application example is analyzed to demonstrate the effectiveness and feasibility of the exiting method proposed in this paper.