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Comparison of Several Aggregation Techniques for Deriving Analytic Network Process Weights
Water Resources Management ( IF 4.3 ) Pub Date : 2020-10-26 , DOI: 10.1007/s11269-020-02698-y
Nehal Elshaboury , Tarek Attia , Mohamed Marzouk

Water pipelines are exposed to severe aging and deterioration challenges. The weights of importance of deterioration factors shall be estimated to predict the condition of underground water pipelines. Analytic network process (ANP) is one of the most common multiple criteria decision making techniques. The fuzzy set theory has been employed to tackle the vagueness and imprecision in human judgments. Accordingly, the overarching aim of this research is computing the weights of importance of these factors using fuzzy ANP (FANP). Chang’s extent analysis method is one of the most frequently used algorithms in FANP. For group decision making, two aggregation approaches are considered, namely geometric mean (GEO) and minimum-maximum (MIN-MAX). The performance of the modified extent analysis method is evaluated against the original method using four evaluation measures. These measures are satisfactory index, group minimum violations, group Euclidean distance, and distance between weights. Most of the evaluation measures indicate that the modified extent analysis (MIN-MAX) method exhibits better results than other methods. A water distribution network in Shaker Al-Bahery, Egypt is used to demonstrate the application of the proposed model.



中文翻译:

几种用于得出分析网络过程权重的聚合技术的比较

输水管道面临严重的老化和老化挑战。估计劣化因素的重要性权重,以预测地下水管道的状况。分析网络过程(ANP)是最常见的多准则决策技术之一。模糊集理论已被用来解决人类判断中的模糊性和不精确性。因此,本研究的总体目标是使用模糊ANP(FANP)计算这些因素的重要性权重。Chang的范围分析方法是FANP中最常用的算法之一。对于小组决策,考虑了两种汇总方法,即几何均值(GEO)和最小-最大(MIN-MAX)。使用四种评估方法,与原始方法相比,评估了改进程度分析方法的性能。这些度量是令人满意的指标,组最小违规,组欧几里得距离和权重之间的距离。大多数评估方法表明,改进程度分析(MIN-MAX)方法比其他方法具有更好的结果。埃及的Shaker Al-Bahery的供水网络用于演示该模型的应用。

更新日期:2020-10-30
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