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复杂的Fermatean模糊扩展TOPSIS方法及其在决策中的应用
Muhammad Zaman1, Fazal Ghani1, Asghar Khan1
1Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan.
Heliyon
|October 9, 2023
概括
这项研究引入了使用复杂的费尔马特模糊数和爱因斯坦t-规范的新决策技术. 这些方法提高了复杂问题的处理不确定性和模两可,通过教练选择示例来证明.
科学领域:
- 数学 数学 是一个数学.
- 计算机科学 计算机科学
- 决策科学 决策科学
背景情况:
- 传统的模糊集合在表示负面方面存在局限性.
- 费尔马特模糊集合通过结合负面方面来解决这些限制.
- 复杂的费尔马特模糊集为管理模两可和不确定性提供了增强的能力.
研究的目的:
- 开发新的决策技术,利用复杂的费尔马特模糊数.
- 为复杂的费尔马特模糊数引入基于爱因斯坦t-规范的新聚合运算符.
- 将这些技术应用于复杂的多属性组决策 (MAGDM) 问题.
主要方法:
- 构建复杂的费尔马特模糊爱因斯坦加权平均 (CFFEWAA),有序加权平均 (CFFEOWAA) 和混合平均 (CFFEHAA) 聚合运算符.
- 对拟议的聚合运算符的基本特性进行分析.
- 开发算法和扩展的TOPSIS方法,以基于这些操作符进行决策.
主要成果:
- 成功定义和分析复杂的费尔马特模糊数的新型聚合运算符.
- 演示了这些运算符和扩展TOPSIS方法的应用到一个实际的MAGDM问题 (英语教师选择).
- 通过与现有方法进行比较,验证了拟议模型的有效性.
结论:
- 拟议的复杂的费尔马特模糊聚合运算符和扩展的TOPSIS方法为不确定性下复杂的决策提供了有效的工具.
- 开发的技术为解决多属性组决策场景中的模糊性提供了一个强大的框架.
- 这项研究有助于推进模糊集合理论及其在实际决策支持系统中的应用.
关键词:
复杂的费尔马特模糊的爱因斯坦混合平均 (CFFEHA) 运算符.复杂的费尔马特模糊集合 (CFFS)爱因斯坦的聚合运算符.多属性集团决策 (MAGDM) 是一种多属性集团决策.这是TOPSIS方法.更多相关视频
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