使用基于 q-rung orthopair 中性学软集的聚合运算符及其在多属性决策问题中的应用
Sumbal Ali1, Asad Ali1, Ahmad Bin Azim1
1Department of Mathematics and Statistics, Hazara University, Mansehra, 21300, Khyber Pakhtunkhwa, Pakistan.
Heliyon
|August 22, 2024
概括
这项研究引入了q-rung orthopair 中性学软集 (q-RONSS) 来处理复杂的不确定性,比q-ROF软集更好. 新模型为决策问题提供了一个优越的框架.
科学领域:
- 决策科学 决策科学
- 信息理论 信息理论
- 模糊的数学 模糊的数学
背景情况:
- 中性学集合在不确定性管理方面提供了更大的多功能性,而不是q-ROF软集,这些软集往往忽视了不确定性.
- 现有的q-ROF软集在处理各种依赖场景和不确定性的不确定性组件方面存在局限性.
研究的目的:
- 为了引入一种新的混合结构,q-rung orthopair 中性质软集 (q-RONSS),结合中性质软集和q-ROF软集.
- 为拟议的q-RONSS结构定义操作规律,平均值和几何运算符.
- 开发一个数学模型和方法,用于在决策中应用q-RONSS.
主要方法:
- 该研究定义了q-RONSS,结合了真相,不确定性和虚假成员级别,对它们的qth次数的总和有限制.
- 为 q-RONSS 框架量身定制的平均和几何运算符的开发.
- 拟议模型应用于真实世界多重属性决策 (MADM) 问题,涉及人员选择.
主要成果:
- 拟议的q-RONSS结构有效地解决了模糊性和各种不确定性类型,优于现有的q-ROF软集理论.
- 平均和几何运算符被成功定义和应用,证明了该模型在MADM中的实用性.
- 敏感性分析证实了参数"q"对排名结果的可靠性和影响,验证了拟议的运营商.
结论:
- 与现有理论相比,q-RONSS框架提供了一种更灵活,更适应不确定性的方法.
- 开发的操作员和方法提供了一个强大的工具,用于解决复杂的决策问题.
- 该研究强调了拟议模型在处理不确定性方面的优越性及其实际适用性.
关键词:
决策和优化 决策和优化q-RONSfSs 的操作特性Q-rung 整形器官 中性学 柔软 顺序 权重 几何 几何学q-rung整形夫妇中性学软顺序加权平均操作员q-rung整形对子中性学软件套件q-rung整形对子中性质柔软加权平均化操作员q-rung 整形pair 中性学 柔软 重量化几何 几何学更多相关视频
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