通过使用 q-rung orthopair fuzzy Dombi-Archimedean 聚合运算符来实现多属性决策的新方法
Tapan Senapati1, Guiyun Chen1, Ikhtesham Ullah2
1School of Mathematics and Statistics, Southwest University, Beibei, 400715, Chongqing, China.
这项研究引入了q-rung orthopair fuzzy数 (q-ROFNs) 的新多比-阿基米德聚合运算符. 这些运营商通过提供灵活的框架来处理现实世界问题中的不确定性来增强多属性决策 (MADM).
科学领域:
- 模糊的数学 模糊的数学
- 决策科学 决策科学
- 运营研究 运营研究
背景情况:
- 多属性决策 (MADM) 问题需要准确聚合属性值.
- 传统的模糊集合在表示复杂的不确定性方面存在局限性.
- 在q-rung orthopair fuzzy数 (q-ROFNs) 提供了比直觉和毕达哥拉斯模糊数更大的灵活性.
研究的目的:
- 在q-rung orthopair fuzzy set (q-ROFS) 环境中引入一个结合Dombi和阿基米德特征的新运算符.
- 为 q-ROFNs 提出基于这些组合操作的新型加权聚合运营商 (AO).
- 为了证明这些运算符在MADM问题中的应用.
主要方法:
- 开发一个新的q-ROF运营商,将Dombi和Archimedean属性合并.
- 使用新的 q-ROF 运算符,制定权重聚合运算符 (AO).
- 研究拟议运算符的数学属性.
- 运营商对MADM的应用,使用定义的程序.
主要成果:
- 一个新的 q-ROF 运营商和相关加权的 AO 已成功开发.
- 提出的运算符表现出对聚合具有理想的数学属性.
- 该方法有效地应用于人力资源选择MADM问题.
结论:
- 新的Dombi-Archimedean运算符为基于q-ROF的MADM提供了一个强大的工具.
- 提出的方法提供了一个强大的方法来处理决策中的不确定性.
- 人力资源选择示例验证了开发人员的实际实用性和有效性.
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