复杂的第n次方根模糊集:在不确定的环境中多属性决策的理论和应用
Hariwan Z Ibrahim1, Tareq M Al-Shami2, Murad Arar3
1Department of Mathematics, College of Education, University of Zakho, Zakho, Kurdistan Region, Iraq.
PloS one
|May 13, 2025
概括
本研究介绍了复杂的第n次权根模糊集 (CnPR-FSs),这是一种用于处理决策中的模两可的新工具. 与现有的模糊集合理论相比,cnPR-FS提供了更好的不确定性表示.
科学领域:
- 模糊的集合理论 模糊的集合理论
- 决策 决策 决策 决策
- 不确定性定量化 不确定性定量化
背景情况:
- 传统的模糊集合与复杂的模糊性作斗争.
- 直觉主义和毕达哥拉斯模糊集提供了改进,但也有局限性.
- 第n级根模糊集增强了模糊性管理.
研究的目的:
- 介绍和探索复杂的第n次权根模糊集 (CnPR-FSs).
- 为了将第n次方根模糊集与复杂模糊集集成.
- 为了证明CnPR-FSs在表示不确定性的优越性.
主要方法:
- n次方根模糊集合和复杂模糊集合的整合.
- 开发一个限制CnPR-FSs代表更广泛的不确定性.
- 创建复杂的第n次方根模糊数的比较,准确性和评分函数.
- 引入了新的聚合运营商:CnPR-FWA和CnPR-FWG.
主要成果:
- CnPR-FS提供了一种比复杂的直觉学和毕达哥拉斯模糊集更有效的方式来描述不确定的数据.
- 拟议的约束扩大了不确定的信息的表现.
- 定制功能和新型聚合运营商提高决策能力.
- 该方法已成功应用于选择餐饮供应商和企业活动场所.
结论:
- 在复杂的决策场景中,cnPR-FS是管理模糊和模糊性的强大工具.
- 开发的框架比现有方法具有实际优势.
- 该研究强调了CnPR-FSs在现实世界决策问题中的有效性和适用性.
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