使用Schweizer-Sklar加权聚合用于水净化策略选择的圆形q-rung整形pair模糊建模
Jawad Ali1, Ahmad N Al-Kenani2, Ioan-Lucian Popa3,4
1Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, KPK, Pakistan. jawadali@math.qau.edu.pk.
Scientific reports
|July 30, 2025
概括
这项研究引入了一个新的决策工具,使用循环 q-rung orthopair 模糊集来选择净化水的策略. 它增强了不确定性建模和复杂问题的决策准确性.
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
- 水资源管理 水资源管理
背景情况:
- 水净化策略的选择是一个复杂的多标准决策问题.
- 传统的模糊集合难以准确地表示不确定性和相互矛盾的标准.
- 现有的方法在汇总专家意见和确保决策可靠性方面缺乏灵活性.
研究的目的:
- 提出一个新的决策支持框架,使用循环 q-rung orthopair 模糊集.
- 开发一个改进的分数函数,以更好地表示不确定性.
- 为了加强决策,将MULTIMOORA方法与圆形q-rung整形术模糊集集成在一起.
主要方法:
- 基于循环 q-rung orthopair 模糊集的决策支持框架的开发.
- 介绍和检查Schweizer-Sklar操作规律在圆形q-rung整形器械模糊的环境.
- 圆形 q-rung orthopair fuzzy Schweizer-Sklar加权平均和几何聚合运算符的构造.
- 在圆形q-rung整形术模糊框架下的MULTIMOORA方法的扩展.
主要成果:
- 开发了一种新的评分功能,提高了辨别能力.
- 新的聚合运营商提高了结合专家判断的灵活性和准确性.
- 扩展的MULTIMOORA方法通过考虑多个排名因素,提供了更可靠的决策过程.
- 该框架在复杂的决策问题中有效处理不确定性和相互冲突的标准.
结论:
- 拟议的循环 Q-rung orthopair 模糊决策支持框架为复杂的决策提供了更具表达性和灵活的方法.
- 开发的方法和操作人员提高了选择最佳策略的准确性和可靠性,正如水净化案例研究所证明的那样.
- 这项研究为解决具有固有不确定性的多标准决策问题提供了有价值的工具.
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