ABSTRACT

Selecting the best carpet from a set of available alternatives for a particular end-use situation is a difficult job because of association with multiple decision criteria. Three multicriteria decision-making (MCDM) methods, i.e., weighted sum model (WSM), weighted product model (WPM), and technique for order preference by similarity to ideal solution (TOPSIS) were used to evaluate the overall durability value of handmade carpets considering abrasion loss, compression recovery, thickness loss after dynamic loading, and thickness loss after prolonged heavy static loading as decision criteria. The weights of carpet properties (decision criteria) were determined by considering opinion of 10 domain experts. Abrasion loss, compression recovery, thickness loss after dynamic loading and thickness loss after prolonged heavy static loading received weights of 0.366, 0.186, 0.308, and 0.140, respectively. All the three MCDM methods yielded the same ranking for the first position. Moreover, WSM and WPM had complete agreement for the first seven positions. Rank correlation coefficient between WSM-WPM, WSM-TOPSIS, and WPM-TOPSIS are found to be 0.990, 0.943, and 0.973, respectively i.e. very high. Therefore, any one of these MCDM methods can be used for handmade carpet selection problem. Sensitivity analysis proved that the ranking produced by TOPSIS is quite robust in response to the change in weights of decision criteria.

摘要

由于与多个决策标准相关，从一组可用的替代品中为特定的最终使用情况选择最好的地毯是一项艰巨的工作。采用加权和模型（WSM）、加权产品模型（WPM）和与理想解相似度排序技术（TOPSIS）三种多准则决策（MCDM）方法评估手工地毯的整体耐久性值考虑磨损损失、压缩恢复、动态加载后的厚度损失和长时间重静态加载后的厚度损失作为决策标准。地毯特性的权重（决定标准）是通过考虑 10 位领域专家的意见来确定的。磨损损失，压缩恢复，动态载荷后的厚度损失和长时间重静态载荷后的厚度损失分别为 0.366、0.186、0.308 和 0.140。所有三种 MCDM 方法都为第一名产生了相同的排名。此外，WSM 和 WPM 对前七个位置完全一致。WSM-WPM、WSM-TOPSIS 和 WPM-TOPSIS 之间的秩相关系数分别为 0.990、0.943 和 0.973，即非常高。因此，这些 MCDM 方法中的任何一种都可以用于手工地毯的选择问题。敏感性分析证明，TOPSIS 产生的排名对决策标准权重的变化具有相当的鲁棒性。WSM 和 WPM 就前七个职位达成了完全一致。WSM-WPM、WSM-TOPSIS 和 WPM-TOPSIS 之间的秩相关系数分别为 0.990、0.943 和 0.973，即非常高。因此，这些 MCDM 方法中的任何一种都可以用于手工地毯的选择问题。敏感性分析证明，TOPSIS 产生的排名对决策标准权重的变化具有相当的鲁棒性。WSM 和 WPM 就前七个职位达成了完全一致。WSM-WPM、WSM-TOPSIS 和 WPM-TOPSIS 之间的秩相关系数分别为 0.990、0.943 和 0.973，即非常高。因此，这些 MCDM 方法中的任何一种都可以用于手工地毯的选择问题。敏感性分析证明，TOPSIS 产生的排名对决策标准权重的变化具有相当的鲁棒性。