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双语推荐：改进的TOPSIS方法

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在绿色供应链基础上提出了一种基于熵权法与改进的TOPSIS法相结合的方法选择绿色供应商。首先构建绿色供应商的评价指标体系,然后采用熵权法得到各指标的权重。最后通过算例分别采用传统的TOPSIS方法和改进的TOPSIS方法选择供应商,并对2种方法及所得结果进行比较。结果表明,用改进的TOPSIS方法选择供应商是可行的、合理的,且更加科学。
On the basis of green supply chain, the combing method of entropy weight method and improved TOPSIS method to choose green supplier is put forward. First builds green supplier evaluation index system, then adopts the entropy weight method to get the weight of each index, finally through an example, uses the traditional TOPSIS method and the improved TOPSIS method to choose the supplier respectively and compares the two methods. Results show that the improved TOPSIS method to choose the supplier is reasonable and feasible, and more scientific.

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针对体育产业可持续发展水平测度中存在的不确定性,提出了改进的区间直觉模糊TOPSIS方法。该方法考虑到现有区间直觉模糊TOPSIS方法的存在信息损失的不足,引入区间直觉模糊集的三维Hamming距离和三维Hausdorff距离进行改进。通过具体的实例说明了新方法在体育产业可持续发展水平评价中的适用性和有效性。
This paper proposes an improved interval-valued intuitionistic fuzzy TOPSIS method for the uncertainty of sports industry sustainable development level evaluating. The new method improves weakness of the existing interval-valued intuitionistic fuzzy TOPSIS, which uses the 3D Hamming distance and 3D Hausdorff distance. Finally, a case study of sports industry sustainable development level evaluating is given to show its feasibility and practicability.

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提出一种改进的逼近理想解排序(TOPSIS)方法，即直觉梯形模糊TOPSIS多属性群决策方法。首先，应用直觉梯形模糊数形式表示方案属性偏好和属性权重信息且专家权重完全未知；然后，利用直觉梯形模糊数间距离测度和期望值及直觉梯形模糊加权平均算子来确定决策者权重信息和属性权重信息；进而给出直觉梯形模糊环境下方案优选的算法；最后，通过算例进一步说明了该直觉梯形模糊TOPSIS方法的有效性。
An extension of TOPSIS, a novel trapezoidal intuitionistic fuzzy TOPSIS method for group decision making is investigated. The preference values for an alternative on criteria and the weight values of criteria are given by experts represented with trapezoidal intuitionistic fuzzy numbers and weights of decision makers are unknown. Distance measures, expected values and weighted averaging operator for trapezoidal intuitionistic fuzzy numbers are used to induce the weight values of criteria and decision makers. Then an algorithm is developed for ranking alternatives under the trapezoidal intuitionistic fuzzy environment. Finally, the result of numerical example further illustrates the effectiveness of the proposed extended TOPSIS method.

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用 AHP（层次分析法）模型建立“烟草行业工业建筑可持续评价指标体系”，在原始 AHP 法中融入专家权重思想，并将原始 TOPSIS（离散型逼近理想解排序法）简化为适用于烟草行业工业建筑可持续性评价的方法。通过案例分析，表明改进的 AHP-TOPSIS 法可以有效、科学的评价烟草行业工业建筑可持续性。
This paper estabIishes the sustainabIe evaIuation index system of tobacco by using the AHP modeI,put the expert weight of ideas integrated into the originaI AHP method,and simpIifies the originaI TOPSIS method to which suitabIe for the sustainabiIity assessment of tobacco industry industriaI buiIding.The case anaIysis shows that the improved AHP -TOPSIS method can evaIuate the persistence of tobacco industry industriaI buiIding effectiveIy and scientificaI y.

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鉴于物流配送中心选址方案评价属于多属性决策问题，建立由5个一级指标及19个二级指标组成的评价模型。在对模型的求解过程中，为避免传统的TOPSIS方法产生逆序问题，将改进的TOPSIS方法引入到多属性决策问题中，用AHM方法计算指标权重，根据综合评价指数对方案进行排序，为决策物流配送中心选址提供科学依据。
In this paper, in view that the location problem of logistics centers was a multi-attribue decision-making problem, we built an evaluation model consisting of five primary indexes and 19 secondary indexes, then introduced the improved TOPSIS model to solve it, calculated the weights of the indexes using AHP and ranked the solutions obtained in accordance with their comprehensive evaluation index.

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根据含高渗透率间歇性电源电网的特点，提出了一种该类型电网规划方案的优选方法。构建了包含电压稳定、频率稳定、充裕性、安全稳定性、间歇性电源接入容量和经济性等指标的评价指标体系。基于决策实行与评价实验室(decision making trail and evaluation laboratory，DEMANTEL)法对传统网络分析法(analytic network process，ANP)进行改进，并采用改进的网络分析法获取指标间相对权重。同时基于绝对正负理想点理论和投影型贴近度方法对传统逼近理想点(technique for order preference by similarity to ideal solution，TOPSIS)法进行改进，在得到指标权重的基础上利用改进TOPSIS法生成各规划方案的整体排序，从而选出最优方案，最后给出算例证明了所提方法的有效性。
According to the features of power grid with high penetration of intermittent generation sources, an optimal selection method of planning schemes for such power grids is proposed. An evaluation index system, containing such indices as voltage stability, frequency stability, adequacy, security and stability, connected capacity of intermittent generation sources and economy, is established. Based on decision-making trail and evaluation laboratory (DEMANTEL) method, traditional analytic network process (ANP) is improved and then used to calculate relative weights among indices. Meanwhile, based on absolute positive- and negative-ideal points theory and close-degree projection, traditional technique for order preference by similarity to ideal solution (TOPSIS) is improved;and on the basis of achieving index weights, the improved TOPSIS method is used to implement the ordering of overall planning schemes, and then the optimal scheme can be selected. The validity of the proposed method is ve

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本文研究了机械废气污染电源的扩散方式,根据扩散的特点改进了模糊综合评价模型。将Topsis和模糊综合评价方法结合,对机械废气的污染程度进行了评价。通过实例分析,得到的结果与真实结果较为一致,为大气污染治理提供理论依据。
This paper studies the diffusion of mechanical power air pollution, according to the characteristics of the diffusion of improved fuzzy comprehensive evaluation model. The fuzzy comprehensive evaluation method and the combination of mechanical exhaust pollution levels were evaluated. Through case studies, the results obtained are more consistent with the real results provide a theoretical basis for air pollution control.

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针对绿色供应链管理问题，建立改进的绿色供应链综合绩效评价体系，运用模糊TOPSIS方法构建模糊加权评价矩阵，计算出了各方案与理想解之间的相对贴近度，从而比较不同方案之间的差别，为供应链绩效的评价提供重要决策依据。实证分析验证了该方法的实用性和有效性。
Aiming at the problem of green supply chain management, an improved comprehensive green supply chain performance evaluation system was established, and the fuzzy TOPSIS method was used to build weighted fuzzy evaluation matrix to calculate the relative closeness degree between the programs and the ideal solution , so as to compare the differences between different solutions, and provide important decision basis for the supply chain performance evaluation. Finally, the empirical analysis verified the practicality and effectiveness of the method.

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为了解决混合型多属性决策问题,将不同属性值转换为区间数形式。在基于马氏距离的逼近理想解排序法(TOPSIS)中,指标间线性强相关导致协方差矩阵为奇异矩阵,不能计算马氏距离。因此,定义了区间数的协方差矩阵,采用奇异值分解方法计算协方差矩阵的广义(M-P)逆矩阵。改进的算法克服了传统TOPSIS存在的指标信息重复、主观赋权不合理、隶属度难以确定,以及可能出现与理想解欧式距离近的方案与负理想解的欧式距离也近的不足。最后,给出了该方法的一个算例,结果表明该决策方法是实用和可行的。
In order to solve the hybrid multiple-attribute decision making problem, different attribute values were unified into interval number. In the TOPSIS based on Mahalanobis distance, because of the strong linear correlation indexes, the covariance matrix was singular, and calculating the Mahalanobis distance didn’t work . Therefore , covariance matrix of in-terval number was defined and singular value decomposition method was adopted to calculate generalized inverse matrix of covariance matrix. The improved algorithm overcame the defects in the traditional TOPSIS model of river health assess-ment, such as correlations between indices, uncertainty in estimating the weights subjectively, difficulty in determining the membership function and possibility of the scheme closed to ideal solution and negative-ideal solution concurrently. In the end, a numerical example illustrated the validity and applicability of the proposed method.

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针对现代水面舰艇所布放的箔条、角反射器(体)等无源干扰设施严重影响导弹导引头选择真正舰船目标的现象,提出了一种基于目标运动特征属性信息和改进的逼近理想解排序(technique for order preference by similarity to ideal solution,TOPSIS)的多目标选择方法。通过将多目标选择问题等效成多属性决策问题,借助目标的运动特征,改进了理想解和负理想解的确定方法,最终得到决策模型。仿真试验表明:该方法简单有效,适合于工程应用。
Aiming at the phenomenon that the chaff and corner reflector released by a surface ship can seriously affect the selection of a ship target by the missile seeker ,this paper proposes a multi-object selection method based on the target motion characteristics and the TOPSIS technique for order pre-ference by similarity to ideal solution .By using the multi-object selection for multiple attribute deci-sion and according to the target motion characteristics the method helps to establish a decision model , improving the way to determine the ideal solution and negative ideal solution .The simulation result show s that this method is so simple and effective as to be suitable for engineering application .

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