对MADM问题的新方法使用区间值犹的费尔马特模糊的哈马切尔运算符和统计方差
Xiuqin Ma1,2, Xuli Niu1, Hongwu Qin3,4
1College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730020, Gansu, China.
Scientific reports
|March 19, 2025
概括
本研究引入了一种新的方法,用于评估水生态文明建设 (WECC) 使用间隔值的犹不决的费尔马特模糊集. 该方法通过改进属性权重计算和聚合运算符来提高准确性和效率来增强决策.
科学领域:
- 环境科学 环境科学
- 决策科学 决策科学 决策科学
- 模糊的数学 模糊的数学
背景情况:
- 水生态文明建设 (WECC) 是至关重要的,但面临评估的不确定性.
- 现有的多属性决策 (MADM) 方法由于数据冗余和效率低下而与WECC评估扎.
- 当前的聚合运营商经常忽视属性的重要性和顺序.
研究的目的:
- 为WECC评估开发一种新的MADM模型,以解决现有的局限性.
- 引入使用统计方差 (SV) 的高效客观权重计算方法.
- 提出新的区间值犹不决的费尔马特模糊 (IVHFF) 和哈马切尔聚合运算符 (AO),以解释属性意义和顺序.
主要方法:
- 使用间隔值犹的费尔马特模糊集 (IVHFFS) 在MADM中处理不确定性.
- 开发了一种统计差异 (SV) 方法,用于在IVHFFSs.下计算客观属性权重.
- 建议新的IVHFF Hamacher聚合运营商,包括订购和混合变体.
- 构建了一个新的MADM模型,集成了SV权重和IVHFF Hamacher AOs.
主要成果:
- 拟议的SV重量计算方法减少了数据冗余,并提高了计算效率.
- 新的IVHFF Hamacher AOs有效地纳入了属性重要性及其排序位置.
- 与现有方法相比,开发的MADM模型在WECC评估中表现出优异的性能.
- 对比研究证实了拟议方法的稳定性和有效性.
结论:
- 新的MADM模型为WECC评估提供了更准确,更有效的方法.
- SV权重和IVHFF Hamacher AOs的整合在处理不确定性下的复杂决策方面取得了重大进展.
- 这项研究有助于改善WECC及其相关环境管理策略的科学基础.
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