Selection of Cotton Fabrics Using Pythagorean Fuzzy TOPSIS Approach

ABSTRACT

The comfortability of fabric is essential for improving its wearability, and several properties affect the comfort. Assessment and selection of the best cotton fabrics among these properties involving fuzziness and uncertainty are regarded as a multicriteria decision-making (MCDM) problem. This research proposed the technique for order preference by similarity to ideal solution (TOPSIS) approach under Pythagorean fuzzy sets (PFSs) context to select the best cotton fabric among these properties. The PFSs are used to handle uncertain information on cotton fabrics, and the TOPSIS approach is applied to choose the best cotton fabric. Since the distance measure is a critical factor of TOPSIS, a sensitivity analysis with different parameter settings for the distance measure is performed to investigate the ranking effects. A comparative analysis is conducted between the Hamming and Euclidean distance measurements and sine trigonometric Pythagorean fuzzy weighted average and geometric aggregation operators. The comparative results have significantly high correlation coefficients with other distance measures and aggregation operators. The novelties of the proposed approach are that it not only can offer objective evaluations but also can be easily calculated and obtain reliable and reasonable results, and it can be applied to other textile areas.

摘要

织物的舒适性是提高其服用性能的关键,有几种性能会影响织物的舒适性. 在这些涉及模糊性和不确定性的性能中,评估和选择最佳棉织物被视为一个多准则决策(MCDM)问题. 本研究提出了在勾股模糊集(PFSs)背景下,基于理想解相似性(TOPSIS)方法的订单偏好技术,以从这些性能中选择最佳的棉织物. 利用PFSs对棉织物的不确定性信息进行处理,采用TOPSIS法选择最佳棉织物。由于距离度量是TOPSIS的一个关键因素,因此对距离度量的不同参数设置进行敏感性分析,以研究排名效应. 对汉明距离测度、欧几里德距离测度、正弦三角勾股模糊加权平均和几何聚集算子进行了比较分析. 比较结果与其他距离度量和聚集算子具有显著的高相关系数. 该方法的新颖之处在于不仅能提供客观的评价,而且计算简便,结果可靠合理,可应用于其他纺织领域.

KEYWORDS:

• Cotton fabric
• multicriteria decision-making (MCDM)
• technique for order preference by similarity to ideal solution (TOPSIS)
• Pythagorean fuzzy set (PFS)
• distance measure
• comparative analysis

Acknowledgments

The authors acknowledge the assistance of the respected editor and the anonymous referees for their insightful and constructive comments, which helped to improve the overall quality of the paper. The corresponding author is grateful for grant funding support from the Ministry of Science and Technology, Taiwan (MOST 110-2410-H-182-005) and Chang Gung Memorial Hospital, Linkou, Taiwan (BMRP 574) during the completion of this study.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Chang Gung Memorial Hospital, Linkou [BMRP 574]; Ministry of Science and Technology, Taiwan [MOST 110-2410-H-182-005].