根据以签名距离为基础的排名方法选择合适的位置,以间隔类型-2的梯形模糊偏好关系为基础
Muhammad Touqeer1, Irfan Rabia1, Khatoon Hajrah1
1Department of Mathematical Sciences, University of Engineering and Technology, Taxila, Pakistan.
Heliyon
|August 15, 2024
概括
本研究介绍了复杂决策的间隔类型-2 梯形模糊偏好关系 (IT2TrFPRs). 当参数重要性不清楚时,该方法有效地对替代品进行排名,用一个位置选择示例来证明这一点.
科学领域:
- 决策科学 决策科学
- 模糊逻辑系统 模糊逻辑系统
- 运营研究 运营研究
背景情况:
- 现实世界的决策往往涉及不清楚相对重要性的参数.
- 传统的模糊集在属性值的不精确成员级别上扎.
- 为了在决策中增强代表权力,需要通用的模糊集.
研究的目的:
- 提出一个新的决策框架,使用间隔类型-2的梯形模糊偏好关系 (IT2TrFPRs).
- 解决决策参数未定义优先权重的情况.
- 开发一种基于一般化模糊偏好关系的替代品排名方法.
主要方法:
- 使用间隔类型-2 梯形模糊偏好关系 (IT2TrFPRs) 作为模糊偏好关系的概括.
- 通过混合平均值构建一个集体决策矩阵,包括加权平均值和基于距离的OWA操作.
- 使用最小偏差模型来确定优先权重向量.
- 使用与理想解决方案的加权规范符号距离对替代方案进行排名.
主要成果:
- 拟议的IT2TrFPRs方法有效地处理具有模两可的参数重要性和未知权重的决策问题.
- 最小偏差模型成功地在没有明确信息的情况下获得优先权重.
- 该方法提供了替代品的强大排名,通过现实生活地点选择案例研究来验证.
结论:
- 开发的IT2TrFPRs框架为复杂,不确定的环境中的多标准决策提供了一个强大的工具.
- 混合平均值,OWA运算和最小偏差模型的整合提供了一个全面的方法来确定权重和排名替代品.
- 实际应用证明了拟议方案对现实世界决策问题的有效性和适用性.
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