Comparison of Multi-criteria Decision Making Methods for Selection of Handmade Carpets

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.

文摘

从一组可供选择的地毯中为特定的最终使用情况选择最好的地毯是一项困难的工作，因为它与多个决策标准相关联. 三个多标准决策(指标)方法即加权和模型(WSM),加权产品模型来说(WPM)和技术相似,理想的解决方案(TOPSIS)被用来评估手工地毯的整体耐用性价值考虑磨耗量,压缩复苏,厚度损失动态加载和厚度损失后经过长时间的沉重的静态加载作为决策标准. 地毯属性的权重(决策标准)是根据10位领域专家的意见确定的. 磨损损失、压缩恢复、动载后厚度损失和长时间静载后厚度损失分别为0.366、0.186、0.308和0.140. 三种多准则决策方法对第一名的排序结果是一致的. 加权和模型和加权积模型对前7个位置有完全的一致性. 加权和模型-加权乘积模型、加权和模型-相似订货偏好技术和加权产品模型-相似订货偏好技术的秩相关系数分别为0.990、0.943和0.973，即很高. 因此，上述任何一种多准则决策方法都可以用于手工地毯的选择问题. 敏感性分析表明，基于相似度的排序偏好技术对决策准则权重的变化具有较强的鲁棒性.

KEYWORDS:

• Abrasion loss
• compression recovery
• durability
• handmade carpet
• multicriteria decision making
• thickness loss

关键词:

• 磨耗量
• 压缩的复苏
• 耐用性
• 手工制作的地毯
• 多标准决策

Additional information

Funding

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the Research Fund of O/o Development Commissioner (Handicrafts), Ministry of Textile, Government of India [Project number: K-12012/4/14/2014-15/R&D dated 11.09.2014].