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A New Method Based on TOPSIS and Response Surface Method for MCDM Problems with Interval Numbers

机译：基于TOPSIS和响应面法的区间数MCDM问题新方法。

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摘要

As the preference of design maker (DM) is always ambiguous, we have to face many multiple criteria decision-making (MCDM) problems with interval numbers in our daily life. Though there have been some methods applied to solve this sort of problem, it is always complex to comprehend and sometimes difficult to implement. The calculation processes are always ineffective when a new alternative is added or removed. In view of the weakness like this, this paper presents a new method based on TOPSIS and response surface method (RSM) for MCDM problems with interval numbers, RSM-TOPSIS-IN for short. The key point of this approach is the application of deviation degree matrix, which ensures that the DM can get a simple response surface (RS) model to rank the alternatives. In order to demonstrate the feasibility and effectiveness of the proposed method, three illustrative MCMD problems with interval numbers are analysed, including (a) selection of investment program, (b) selection of a right partner, and (c) assessment of road transport technologies. The contrast of ranking results shows that the RSM-TOPSIS-IN method is in good agreement with those derived by earlier researchers, indicating it is suitable to solve MCDM problems with interval numbers.
机译：由于设计者（DM）的偏好始终是模棱两可的，因此我们在日常生活中必须面对许多带有间隔数的多标准决策（MCDM）问题。尽管已经应用了一些方法来解决此类问题，但是理解起来总是很复杂，有时很难实现。添加或删除新的替代方法时，计算过程始终无效。鉴于这样的弱点，本文提出了一种基于TOPSIS和响应面法（RSM）的带有间隔号的MCDM问题的新方法，简称RSM-TOPSIS-IN。这种方法的关键是偏差度矩阵的应用，它确保DM可以得到一个简单的响应面（RS）模型来对备选方案进行排名。为了证明该方法的可行性和有效性，分析了三个说明性的带有间隔编号的MCMD问题，包括（a）选择投资计划，（b）选择合适的合作伙伴以及（c）评估公路运输技术。排名结果的对比表明，RSM-TOPSIS-IN方法与早期研究人员推导的方法非常吻合，表明它适合解决带有区间数的MCDM问题。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第7期|938535.1-938535.11|共11页
  • 作者

    Wang Peng; Li Yang; Wang Yong-Hu; Zhu Zhou-Quan;

  • 作者单位

    Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China.;

    Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China.;

    Civil Aviat Flight Univ China, Flight Technol Coll, Guanghan 618307, Sichuan, Peoples R China.;

    Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China.;

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