{"title":"TOPSIS Algorithm with Optimal Weights and its Application on Enterprises' Performance Evaluation","authors":"Xiaorui Zhang","doi":"10.1109/IWISA.2009.5073222","DOIUrl":null,"url":null,"abstract":"TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) algorithm is a typical comprehensive evaluation method for ranking the alternatives by similarity to ideal solution. In traditional TOPSIS algorithm, the weights for each evaluation attribute are obtained by questionnaires or expert investment, which reflects the different important degree of each attributes. To overcome the subjective influence on weights, TOPSIS algorithm with optimal weights was proposed in this paper, which calculates the optimal weighting scheme for alternatives by DEA (Data Envelopment Analysis) multiplier model. Our proposed TOPSIS algorithm can identify the distance ratio for each alternative with optimal weights.","PeriodicalId":6327,"journal":{"name":"2009 International Workshop on Intelligent Systems and Applications","volume":"9 1","pages":"1-4"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Workshop on Intelligent Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWISA.2009.5073222","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) algorithm is a typical comprehensive evaluation method for ranking the alternatives by similarity to ideal solution. In traditional TOPSIS algorithm, the weights for each evaluation attribute are obtained by questionnaires or expert investment, which reflects the different important degree of each attributes. To overcome the subjective influence on weights, TOPSIS algorithm with optimal weights was proposed in this paper, which calculates the optimal weighting scheme for alternatives by DEA (Data Envelopment Analysis) multiplier model. Our proposed TOPSIS algorithm can identify the distance ratio for each alternative with optimal weights.
TOPSIS (Technique for Order Preference by Similarity to Ideal Solution)算法是一种典型的根据与理想解相似度对备选方案进行排序的综合评价方法。在传统的TOPSIS算法中，每个评价属性的权重都是通过问卷调查或专家投资来获得的，这反映了每个属性的重要程度不同。为了克服主观因素对权重的影响，本文提出了具有最优权重的TOPSIS算法，该算法通过DEA(数据包络分析)乘数模型计算出各备选方案的最优权重方案。我们提出的TOPSIS算法可以识别出具有最优权重的每个备选方案的距离比。
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