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An integrated multiple criteria decision making model applying axiomatic fuzzy set theory

机译：基于公理模糊集理论的集成多准则决策模型

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摘要

This article presents a hybrid model for the multiple criteria decision making problems. The proposed decision model consists of three parts: (ⅰ) DEA (data envelopment analysis) is used to provide the best combination on the performance parameters of original data; (ⅱ) By the application of AFS (axiomatic fuzzy set) theory and AHP (analytic hierarchy process) method, the weight of each attribute is calculated and (ⅲ) TOPSIS (technique for order preference by similarity to ideal solution) is applied to provide the ranking order of that best combination based on the weights of attributes. In addition, we also provide the definitely semantic interpretations for the decision results by AFS theory. Specially, the model not only employs the performance parameters from raw data, but also considers the preferences from decision-makers that can make the decision results more reasonable. The proposed model is used for robot selection to verify the proposed model. Using the selection index, the evaluation of alternative robots and the selection of the most appropriate are eventually feasible. Moreover, a numerical example for supplier selection is included to illustrate the application of the model for the newly developed problems.
机译：本文提出了一种用于多准则决策问题的混合模型。所提出的决策模型包括三个部分：（ⅰ）DEA（数据包络分析）用于对原始数据的性能参数提供最佳组合； （ⅱ）通过运用AFS（公理模糊集）理论和AHP（层次分析法）方法，计算每个属性的权重，并（TO）TOPSIS（类似于理想解的顺序偏好技术）用于提供基于属性权重的最佳组合的排名顺序。此外，我们还根据AFS理论为决策结果提供了绝对的语义解释。特别地，该模型不仅使用原始数据中的性能参数，而且还考虑了决策者的偏好，可以使决策结果更加合理。提议的模型用于机器人选择，以验证提议的模型。使用选择指数，评估替代机器人并选择最合适的机器人最终是可行的。此外，还包括一个用于选择供应商的数值示例，以说明该模型在新开发问题中的应用。

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  • 来源
    《Applied Mathematical Modelling》 |2012年第10期|p.5046-5058|共13页
  • 作者

    Lili Tao; Yan Chen; Xiaodong Liu; Xin Wang;

  • 作者单位

    Transportation Management College, Dalian Maritime University, Dalian 116026, PR China;

    Transportation Management College, Dalian Maritime University, Dalian 116026, PR China;

    Department of Mathematics, Dalian Maritime University, Dalian 116026, PR China;

    Department of Mathematics, Dalian Maritime University, Dalian 116026, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    DEA; AHP; TOPSIS; AFS theory; semantic interpretation;

    机译：数据包络分析;层次分析法;TOPSIS;AFS理论;语义解释;

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