A new flexible and reliable IVF-TOPSIS method based on uncertainty risk reduction in decision making process
A new flexible and reliable IVF-TOPSIS method based on uncertainty risk reduction in decision making process
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DOI：
10.1016/j.asoc.2014.05.035
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发表时间：
2014-10
期刊：
影响因子：
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通讯作者：
M. Mokhtarian;S. Sadi-Nezhad;A. Makui
中科院分区：
文献类型：
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作者：
M. Mokhtarian;S. Sadi-Nezhad;A. Makui
设施选址问题是一种既包含定量指标又包含定性指标的多指标决策问题。对于一般模糊多目标决策问题（Type-1 fuzzy MCDM problems），方案对准则或准则权值的评价用一般模糊数表示。然而，在大多数情况下，确定精确的隶属度为每个元素的模糊集被认为是相对于标准或/和标准权重的值作为一个数字在区间[0，1]的替代品的评级，是困难的。在这种情况下，相对于标准或/和标准权重值的备选方案的评级由IVFN（区间值模糊数）表示，因此应该使用IVF-MCDM（区间值模糊MCDM）方法。提出了一种基于决策过程不确定性风险降低的IVF-TOPSIS方法。通过使用这种方法，在IVF决策问题中捕获的决策的可靠性显着增加。所提出的方法是适用于解决一个真实的应用问题，选择一个合适的位置挖掘一些坑在伊朗最大的城市之一的城市湿垃圾填埋场。该方法还与另一种IVF-TOPSIS方法进行了比较。因此，作者得出结论，除了存在于以前的IVF-TOPSIS方法中的简单性和易用性等优点外，所提出的方法具有显着的可靠性和灵活性，并且对于设施位置选择问题和其他IVF-MCDM问题是实用的。
One of the challenging and famous types of MCDM (Multiple Criteria Decision Making) problems that includes both quantitative and qualitative criteria is Facility location selection problem. For the common fuzzy MCDM problems (Type-1 fuzzy MCDM problems), the ratings of alternatives with respect to the criteria or/and the values of criteria weights, are expressed by the common fuzzy numbers. However, in the majority of cases, determining the exact membership degree for each element of the fuzzy sets which are considered for the ratings of alternatives with respect to the criteria or/and the values of criteria weights as a number in interval [0,1], is difficult. In this situation, the ratings of alternatives with respect to the criteria or/and the values of criteria weights, are expressed by the IVFNs (Interval Valued Fuzzy Numbers) and thereby the IVF-MCDM (Interval Valued Fuzzy MCDM) methods should be used. In this paper, the authors propose an IVF-TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method based on uncertainty risk reduction in decision making process. By using this method, the reliability of the captured decisions in an IVF decision making problem is significantly increased. The proposed method is applied for solving a real application problem related to selecting a suitable location for digging some pits for municipal wet waste landfill in one of the largest cities in Iran. The proposed method is also compared with another IVF-TOPSIS method. As a result, the authors concluded that in addition to benefits such as simplicity and ease of use that exist in the previous IVF-TOPSIS methods, the proposed method has a significant reliability and flexibility and is practical for facility location selection problems and other IVF-MCDM problems.