A Comprehensive Overview of the ELECTRE Method in Multi-Criteria Decision-Making

The ELECTRE(ELimination Et Choix Traduisant la REalite)method has gained widespread recognition as one of the most effective multi-criteria decision-making(MCDM)methods.Its versatility allows it to be applied in a wide range of areas such as engineering,economics,business,environmental management and many others.This paper aims to provide an overview of the ELECTRE method,including its fundamental concepts,applications,advantages,and limitations.At its core,the ELECTRE method is an outranking family of MCDM techniques,which allows for the direct comparison of alternatives based on a set of criteria.The method takes into account the preferences and importance of decision-makers and generates a ranking of the alternatives based on their relative strengths and weaknesses.The ELECTRE method is a powerful tool for decision-making,and its applicability to a wide range of fields demonstrates its versatility and adaptability.By understanding its concepts,applications,merits,and demerits,decision-makers can use the ELECTRE method to make informed and effective decisions in a variety of contexts.

VIKOR Method-An Effective Compromising Ranking Technique for Decision Making

The VIKOR(VlseKriterijumska Optimizacija I Kompromisno Resenje)method,which is a multi-criteria decision-making method,is examined in this paper.The VIKOR method,like other MCDM techniques such as the Technique for Order of Preference by Similarity to Ideal Solution(TOPSIS),is widely used to solve complex decision-making problems in various fields such as engineering,management,and finance.This paper provides an overview of the VIKOR method,including its application areas,advantages,and disadvantages.Besides,in this survey paper,the process steps of the VIKOR method are described,including determining the decision matrix,normalizing the matrix,determining the weights of the criteria,calculating the utility and regret values,calculating the VIKOR index,and finally ranking the alternatives.By providing an overview of the VIKOR method and its process steps,this paper aims to provide a better understanding of the method and its potential application in different decision-making contexts.

Response surface method using grey relational analysis for decision making in weapon system selection

A proper weapon system is very important for a na- tional defense system. Generally, it means selecting the optimal weapon system among many alternatives, which is a multiple- attribute decision making （MADM） problem. This paper proposes a new mathematical model based on the response surface method （RSM） and the grey relational analysis （GRA）. RSM is used to obtain the experimental points and analyze the factors that have a significant impact on the selection results. GRA is used to an- alyze the trend relationship between alternatives and reference series. And then an RSM model is obtained, which can be used to calculate all alternatives and obtain ranking results. A real world application is introduced to illustrate the utilization of the model for the weapon selection problem. The results show that this model can be used to help decision-makers to make a quick comparison of alternatives and select a proper weapon system from multiple alternatives, which is an effective and adaptable method for solving the weapon system selection problem.

Maximizing deviation method for multiple attribute decision making under q-rung orthopair fuzzy environment

Because of the uncertainty and subjectivity of decision makers in the complex decision-making environment,the evaluation information of alternatives given by decision makers is often fuzzy and uncertain.As a generalization of intuitionistic fuzzy set(IFSs)and Pythagoras fuzzy set(PFSs),q-rung orthopair fuzzy set(q-ROFS)is more suitable for expressing fuzzy and uncertain information.But,in actual multiple attribute decision making(MADM)problems,the weights of DMs and attributes are always completely unknown or partly known,to date,the maximizing deviation method is a good tool to deal with such issues.Thus,combine the q-ROFS and conventional maximizing deviation method,we will study the maximizing deviation method under q-ROFSs and q-RIVOFSs in this paper.Firstly,we briefly introduce the basic concept of q-rung orthopair fuzzy sets(q-ROFSs)and q-rung interval-valued orthopair fuzzy sets(q-RIVOFSs).Then,combine the maximizing deviation method with q-rung orthopair fuzzy information,we establish two new decision making models.On this basis,the proposed models are applied to MADM problems with q-rung orthopair fuzzy information.Compared with existing methods,the effectiveness and superiority of the new model are analyzed.This method can effectively solve the MADM problem whose decision information is represented by q-rung orthopair fuzzy numbers(q-ROFNs)and whose attributes are incomplete.

Solution to multiple attribute group decision making problems with two decision makers

A kind of multiple attribute group decision making （MAGDM） problem is discussed from the perspective of statistic decision-making. Firstly, on the basis of the stability theory, a new idea is proposed to solve this kind of problem. Secondly, a con- crete method corresponding to this kind of problem is proposed. The main tool of our research is the technique o~ the jackknife method. The main advantage of the new method is that it can identify and determine the reliability degree of the existed decision making information. Finally, a traffic engineering example is given to show the effectiveness of the new method.

Kind of Fuzzy Method Determining Index Weight on Multi-Objctive Decision Making

Based on fuzzy characteristic of dicision-making thought, matrix of priority relation has been introduced and blurrized. A kind of fuzzy method, which is to determine the index weight on multi-objective decision making, has been put forward by means of the sequence root method for analysis of hierarchical process (AHP). Using this method an example which is to define the index weigbt on multi-objective decision making in thc scheme optimization of mine design has been given.

Multi-attributed decision making for mining methods based on grey system and interval numbers

In the case of unknown weights, theories of multi-attributed decision making based on interval numbers and grey related analysis were used to optimize mining methods. As the representative of independence for the indicator, the smaller the correlation of indicators is, the greater the weight is. Hence, the weights of interval numbers of indicators were determined by using correlation coefficient. Relative closeness based on positive and negative ideal methods was calculated by introducing distance between interval numbers, which made decision making more rational and comprehensive. A new method of ranking interval numbers based on normal distribution was proposed for the optimization of mining methods, whose basic properties were discussed. Finally, the feasibility and effectiveness of this method were verified by theories and practice.

A Simple Additive Weighting Method for Time-SeriesMultiindices Decision Making and Its Applications

This paper takes the evaluation of overall economic benefit by an example and proposes a simple additive weighting method for time-series multiindices decision making. The method can automatically determine the weight coefficients among the multiindices and the years respectively and it also can obtain the objective evaluation results and conclusions.

A multi-criteria decision-making approach for comparing sample preservation and DNA extraction methods from swine feces

Molecular microbiological methods, such as competetive PCR, real-time PCR, denaturing gradient gel electrophoresis (DGGE) and large-scale parallel-pyrosequencing, require the extraction of sufficient quantity of high quality DNA from microbiologically and chemically complex matrices. Due to difficulties in the field to standardize/select the optimum DNA preservation-extraction methods in view of laboratories differences, this article attempts to present a straight-forward mathematical framework for comparing some of the most commonly used methods. To this end, as a case study, the problem of selecting an optimum sample preservation-DNA extraction strategy for obtaining total bacterial DNA from swine feces was considered. Two sample preservation methods (liquid nitrogen and RNAlater?) and seven extraction techniques were paired and compared under six quantitative DNA analysis criteria: yield of extraction, purity of extracted DNA (A260/280 and A 260/230 ratios), duration of extraction, degradation degree of DNA, and cost. From a practical point of view, it is unlikely that a single sample preservation-DNA extraction strategy can be optimum for all selected criteria. Hence, a systematic multi-criteria decision-making (MCDM) approach was used to compare the methods. As a result, the ZR Fecal DNA MiniPrepTM DNA extraction kit for samples preserved either with liquid nitrogen or RNAlater? were identified as potential optimum solutions for obtaining total bacterial DNA from swine feces. Considering the need for practicality for in situ applications, we would recommend liquid nitrogen as sample preservation method, along with the ZR Fecal DNA MiniPrepTM kit. Total bacterial DNA obtained by this strategy can be suitable for downstream PCR-based DNA analyses of swine feces.

Dynamic programming methodology for multi-criteria group decision-making under ordinal preferences

A method of minimizing rankings inconsistency is proposed for a decision-making problem with rankings of alternatives given by multiple decision makers according to multiple criteria. For each criteria, at first, the total inconsistency between the rankings of all alternatives for the group and the ones for every decision maker is defined after the decision maker weights in respect to the criteria are considered. Similarly, the total inconsistency between their final rankings for the group and the ones under every criteria is determined after the criteria weights are taken into account. Then two nonlinear integer programming models minimizing respectively the two total inconsistencies above are developed and then transformed to two dynamic programming models to obtain separately the rankings of all alternatives for the group with respect to each criteria and their final rankings. A supplier selection case illustrated the proposed method, and some discussions on the results verified its effectiveness. This work develops a new measurement of ordinal preferences’ inconsistency in multi-criteria group decision-making （MCGDM） and extends the cook-seiford social selection function to MCGDM considering weights of criteria and decision makers and can obtain unique ranking result.

A BOUNDARY ELEMENT METHOD FOR STEADY SHIP WAVE-MAKING POTENTIAL PROBLEMS

A boundary element method for three-dimensional steady ship wave-making potential problems is established with the Rankine source function as its fundamental solution. In the treatment of the linearized free surface condition, one-sided, upstream finite difference operator (FDO) is used to suppress the upstream waves, and the equation of the disturbance velocity is established so that the first order FDO can be used in place of the second order FDO. Compared with the method with the second order FDO, the current method gives better precision and stability. Numerical examples are presented for verification.

Sustainable Dyeing Solution Methods to making cotton more eco-friendly

Throughout the supply chain,there is interest in conserving resources and reducing the textile industry's environmental footprint.Every stage of a textile product's life cycle has environmental impacts-from fiber production through manufacturing and retailing to laundering and disposal by consumers.Of particular concern is the use of water,energy,and chemicals(WEC) in textile processing-an area where technological advances offer significant savings in resources and environmental benefits.In cotton textile processing, dyeing and finishing have the largest WEC requirements and therefore offer the greatest scope for reductions.

区间函数型数据构权方法研究

针对由数据量过大而引起的函数型综合评价信息损失或是计算复杂度过大等问题,文中提出了一种基于区间函数型数据的综合评价方法,并针对区间函数型数据表支持的综合评价问题的特殊性,提出了一种新的确定权重系数的"全局"拉开档次法.相较于函数型综合评价,区间函数型综合评价在呈现连续的函数特征同时,增加了区间化的步骤,能够更好地挖掘数据信息,提升综合评价的效率.最后通过以义乌小商品景气指数为例,分别使用函数型数据形式和区间函数型数据形式下的"全局"拉开档次法对其进行赋权,进而进行评价研究.结果表明该文提出的区间函数型综合评价方法更具优势.

研究生交通基础设施评价与养护决策课程建设及思考

我国已经建设成庞大的交通基础设施网络,交通基础设施建设由“建设为主”型向“建养并重”型转变,基础设施养护维修和管理将成为今后我国交通建设的主要工作,这种形势的变化为大学人才培养提出了新的需求。该文介绍我国交通基础设施养护管理人才培养的历史,探讨不同历史阶段交通基础设施养护管理人才培养的需求和课程建设问题,并对存在问题进行思考。在开展长期的研究生教学和培养实践基础上,开展教材建设工作。研究表明,大学人才培养应以行业建设和国家需求为导向,适应国家社会和经济发展的趋势。课程体系建设是推进人才培养质量提升的抓手,需要根据实际需求的变化调整课程体系。教材建设是课程体系建设的主要内容,亟需加强交通基础设施养护维修和管理领域的教材规划和建设工作。

基于组合赋权与灰云模型的综合能源系统需求响应效益评价

考虑到当前综合能源系统研究缺乏完善的需求响应量化评估方案,难以在优化运行层面综合评估需求响应效益这一问题,提出了一种基于改进AHP群决策—CRITIC组合赋权与灰云模型的综合能源系统需求响应效益评价方法。首先,从综合能效性、社会经济性和需求侧互动性三个维度构建了需求响应效益评价指标体系。其次,采用一致性和权重拟合性更优的指数标度法构造判断矩阵,降低赋值误差,并通过AHP群决策法确定主观权重,从而削弱主观极值偏差对权重的影响;在由CRITIC法确定客观权重后,基于最小欧氏距离建立组合权重模型,并通过非线性规划求取最优组合权重;针对评价等级信息的模糊性与隶属等级的随机性,采用正态灰云白化权模型确定指标分类等级与场景评分。最后,以北方某综合能源系统为例,根据用户参与需求响应方式设置了4种运行场景,分析了不同需求响应对系统运行的影响与作用,算例结果表明所提指标体系与评价方法科学有效。

基于装置运行平稳性的石油化工安全管理策略研究

为了找出并评价石化装置支配性风险因素,实现安全生产风险源头控制和管理,满足石化装置安全生产风险控制的高效性要求,通过建立石化装置事故风险影响模型,运用决策试验与评估实验室方法(DEMATEL)从“现代事故因果连锁理论”视角分析发现人、机(物)等风险因素都受管理因素支配。进而,基于工艺稳定性、工艺稳定性修正、非计划停工3个指标建立石化装置平稳性模型,对装置运行平稳率进行追踪统计,并通过实例对该模型进行了分析和验证。结果表明:该石化装置运行平稳性模型可以量化追踪事故风险支配性因素的控制效果,可展示石化装置不同阶段下的风险特点,可作为装置事故风险预警指标和安全管理绩效指标,可提高装置的安全管理水平。

基于改进北方苍鹰优化算法的封闭小区开放决策模型

为减少封闭小区开放过程中安全、环境与噪声等因素带来的影响,考虑小区开放的影响因素与费用值之间的关系,同时考虑小区出口和入口数量对内部交通疏散的影响,建立封闭小区是否开放的多目标优化模型。在北方苍鹰优化算法基础上,优化苍鹰的捕食行为,改进北方苍鹰优化算法对模型进行求解。通过虚拟路网验证模型和改进算法的有效性,计算结果表明,合理设置封闭小区的决策方式,可以减少车辆出行时间和出行总费用值,开放封闭小区能有效缓解交通压力。此外,将改进北方苍鹰优化算法(ENGO)与非支配排序遗传算法和社会工程优化器进行比较,研究结果能表明ENGO具有的优越性,相比其它两种算法,其反世代距离平均上升9.59%,超体积平均上升3.21%,运行时间平均下降5.88%。

基于组合赋权云模型的塔台管制系统运行安全评估

随着我国民航业的迅猛发展,空中交通流量不断攀升,机场塔台管制系统的运行安全面临严峻考验,因此,正确识别和评估风险成为有效提高塔台管制系统运行安全水平的重要前提。为精准且有效地完成对塔台管制系统运行的安全评估,构建了基于模糊决策实验室分析法(Decision-Making Trial and Evaluation Laboratory,DEMATEL)网络层次分析法(Analytic Network Process,ANP)熵权法云模型的塔台管制系统运行安全评估模型。首先,通过流程图法并结合人机环管的思想建立塔台管制系统运行安全评估指标体系,并采用模糊DEMATEL法确定评估指标间的相互影响关系,绘制评估指标之间的网络结构图;然后,通过ANP法确定各评估指标的主观权重,采用熵权法确定各评估指标的客观权重,并通过博弈论方法计算评估指标的综合权重;最后,将权重结果与评语层云模型结合使用对各级安全评估指标进行安全评估,通过MATLAB软件完成算例的仿真分析。结果表明:该塔台管制系统运行安全等级在一般和良好之间,仍需采取有效措施对某些风险因素进行控制;同时验证了该模型在塔台管制系统运行安全评估中具有可行性和准确性,对塔台管制系统安全评估具有指导意义。

“采购式”和“闲置式”共享经济比较研究

为促进科普工作发展,本文在前期成果WC&MC[1]基础上,对相关内容作了较大拓展。通过研究千家以上共享经济企业的代表性案例,为政府、投资人和创业者提供了一个简单判断共享经济项目的方法。共享经济分为“采购式共享经济”(PSE)和“闲置式共享经济”(ISE)两个类型。采购式共享企业是传统租赁企业,其共享的商品通过采购获得,会增加社会生产规模,其经营维护成本高,创业失败概率大,并会造成巨大的资源浪费和社会问题。由于具备规模经济和现金流优势,风险资本、政府和创业者一开始都会特别中意采购式共享项目,做出错误的决策。闲置式共享企业利用商业模式创新,循环使用社会闲置物,无需采购商品,不增加社会生产规模,将收入同共享闲置商品的主人进行分享而省掉了维护成本,符合人类可持续性发展理念,其经营成本低不易倒闭。社会应扶持闲置式共享企业而严格监管采购式共享企业的发展。风险资本应反思盲目依赖收入变量或现金流进行投资的原则,而应更多关注成本变量和人类可持续性发展原则。建议创业者从闲置式共享切入赛道。

多能联盟低碳运营决策方法研究框架与展望

在多能互补运营方式基础上考虑各主体合作稳定性,进一步提出由风电、光伏、水电、火电构成的多能联盟运营模式,并通过知识图谱方法对多能联盟相关研究进行关键词共现及发展脉络分析,探讨该领域研究热点及不足之处。构建多能联盟低碳运营决策方法研究框架,总体包括三部分,一是基于各主体信息对称,设计联盟内碳配共享机制,约束火电碳排放并提升联盟参与电-碳-绿证市场的交易份额,获得规模性低碳经济收益;二是联盟以综合收益最大为目标进行电-碳-绿证协同优化运营,并考虑各主体收益分配均衡性,分析主体对联盟收益多重贡献因素,改进基于shapley值的收益分配方法,提升各能源合作运营稳定性,实现联盟多能源互补高效运营;三是基于DEA建立多能联盟低碳运营决策方法,通过联盟运营效率指标变化规律,制定多能源调度优化策略。该研究可实现以合作利益最大化驱动各主体参与联盟运营,为新型电力系统低碳优化运营研究提供理论参考。