Development and Application of an Interval-Valued Pythagorean Fuzzy Set-Based Grade Evaluation Method to Foreign Fiber Content

ABSTRACT

To solve the problem of the grade evaluation of foreign fiber content in cotton, this paper divided the problem into multi-criteria decision-making field and proposed an interval-valued Pythagorean fuzzy set foreign fiber content grade evaluation method. Taking into account the various properties of foreign fibers, the multi-criteria evaluation of single foreign fiber content and comprehensive foreign fiber content is carried out to improve the quality of cotton textiles. Based on the Pythagorean fuzzy set, we used AHP and TOPSIS methods to determine the relevant weight information, combined with the grade evaluation index of foreign fiber content and the interval-valued Pythagorean fuzzy weighted average or geometric operators to construct a fiber multi-criteria decision model. Then, the evaluation index function is improved to make the score function more consistent with the facts, and the digitization and intelligence methods required for foreign fiber content detection and grade evaluation are developed. Further, an example is given to verify the feasibility and effectiveness of the model. In addition, the multi-criteria decision-making method adopted has high theoretical innovation and application value for the textile industry.

摘要

针对棉花中异纤含量等级评价问题，将问题分解为多准则决策域，提出了一种区间值勾股模糊集异纤含量等级评价方法. 考虑到异纤的各种性能，进行单一异纤含量和综合异纤含量的多指标评价，以提高棉纺织品的品质. 以勾股模糊集为基础，采用层次分析法和TOPSIS方法确定相关权重信息，结合异纤含量等级评价指标和区间值勾股模糊加权平均或几何算子构建纤维多准则决策 模型. 然后，改进评价指标函数，使评分函数更符合事实，开发了异纤含量检测和等级评价所需的数字化、智能化方法. 进一步,给出了一个例子来验证模型的可行性和有效性. 此外，所采用的多准则决策方法对纺织行业具有较高的理论创新和应用价值.

KEYWORDS:

• Pythagorean fuzzy set
• multi-criteria decision making
• grade evaluation
• application
• foreign fiber

关键词:

• 毕达哥拉斯模糊集
• 多标准决策
• 成绩评价
• 应用
• 异纤

Highlights

• The characteristics of different foreign fiber content parameters and grade evaluation interval characteristics were studied, and a multi-attribute decision-making method was used to evaluate foreign fiber content.

• AHP and TOPSIS methods were introduced into IVPFS to determine the weight information， which provided a solution to the unknown weight problem of multi-attribute decision-making.

• In this paper, the scoring function is improved to make it more consistent with the facts.

• Development of a new method for multi-attribute decision-making based on interval-valued Pythagorean fuzzy set.

• The two decision methods presented in this paper are applied to the grade evaluation of single or comprehensive foreign fiber content and the grade evaluation of synthetic foreign fiber content.

Acknowledgements

We would like to submit the enclosed manuscript entitled “Development and application of an interval-valued Pythagorean fuzzy set-based grade evaluation method to foreign fiber content”, which we wish to be considered for publication in “Journal of Natural Fibers”. No conflict of interest exists in the submission of this manuscript, and the manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, and in addition, there is no legal or ethical problem with this article.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research is supported by National Natural Science Foundation of China (No. 51205288), Tianjin Natural Science Foundation (No. 17JCYBJC19400; No. 18JCYBJC20200), and Tianjin Research Innovation Project for Postgraduate Students (No. 2022BKY140).