集团决策算法与正弦三角形r,s,t-球形模糊聚合运算符及其应用.
Muhammad Azeem1, Ayesha Ilyas1, Jawad Ali2
1Department of Mathematics and Statistics, University of Agriculture, Faisalabad, 38000, Pakistan.
本研究引入了正弦三角法则,以增强r,s,t-球形模糊 (r,s,t-SPF) 集合的决策. 开发和验证新的聚合运算符和集团决策算法,并使用笔记本电脑选择示例进行验证.
科学领域:
- 决策科学 决策科学
- 模糊的集合理论 模糊的集合理论
- 计算智能是一种计算智能.
背景情况:
- 传统的模糊集合在处理复杂的不确定性方面存在局限性.
- 球形模糊集为参数r,s和t提供了更大的灵活性.
- 需要先进的数学框架来改善不确定性下的决策.
研究的目的:
- 为增强r,s,t-球形模糊 (r,s,t-SPF) 集合引入正弦三角法则.
- 在这些正弦三角法则的基础上设计新的聚合运算符 (AO).
- 使用拟议的AOs开发一个多属性组决策 (MAGDM) 算法.
主要方法:
- 将正弦三角函数集成到r,s,t-SPF框架中.
- 为r,s,t-SPF数据量身定制的新聚合运营商的开发.
- 构建一个MAGDM算法,结合新的AOs.
- 应用到一个实际的笔记本电脑选择问题进行验证.
主要成果:
- 弦三角法则成功地提高了r,s,t-SPF集的适用性.
- 新设计的AO在正弦三角函数下表现出理想的数学属性.
- 拟议的MAGDM算法有效地解决了复杂的决策场景.
- 参数分析和比较研究证实了开发的AOs的优越性.
结论:
- 弦三角学方法为r,s,t-SPF集提供了强大的增强.
- 开发的AO和MAGDM算法为决策中的不确定性管理提供了强大的工具.
- 这项研究推进了模糊集合理论在复杂决策问题中的理论基础和实际应用.
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