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A Multiple Attribute Group Decision Making Approach for Solving Problems with the Assessment of Preference Relations

机译:偏好关系评估的多属性群决策方法

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摘要

A number of theoretical approaches to preference relations are used for multiple attribute decision making (MADM) problems, and fuzzy preference relations is one of them. When more than one person is interested in the same MADM problem, it then becomes a multiple attribute group decision making (MAGDM) problem. For both MADM and MAGDM problems, consistency among the preference relations is very important to the result of the final decision. The research reported in this paper is based on a procedure that uses a fuzzy preference relations matrix which satisfies additive consistency. This matrix is used to solve multiple attribute group decision making problems. In group decision problems, the assessment provided by different experts may diverge considerably. Therefore, the proposed procedure also takes a heterogeneous group of experts into consideration. Moreover, the methods used to construct the decision matrix and determine the attribution of weight are both introduced. Finally a numerical example is used to test the proposed approach; and the results illustrate that the method is simple, effective, and practical.
机译:许多关于偏好关系的理论方法都用于多属性决策(MADM)问题,模糊偏好关系就是其中之一。当一个以上的人对同一个MADM问题感兴趣时,它将变成多属性组决策(MAGDM)问题。对于MADM和MAGDM问题,偏好关系之间的一致性对于最终决策的结果非常重要。本文报道的研究基于使用模糊偏好关系矩阵的程序,该矩阵满足加法一致性。该矩阵用于解决多属性组决策问题。在小组决策问题中,由不同专家提供的评估可能会有很大差异。因此,所提出的程序还考虑了不同种类的专家。此外,还介绍了用于构造决策矩阵和确定权重属性的方法。最后,通过算例验证了该方法的有效性。结果表明,该方法简单,有效,实用。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第7期|849897.1-849897.10|共10页
  • 作者单位

    Natl Cheng Kung Univ, Inst Mfg Informat & Syst, Tainan 70101, Taiwan.;

    Ming Chi Univ Technol, Dept Ind Engn & Management, New Taipei City 24301, Taiwan.;

    Univ Queensland, Sch Business, Brisbane, Qld 4072, Australia.;

    Natl Cheng Kung Univ, Inst Mfg Informat & Syst, Tainan 70101, Taiwan.;

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