Ahmmad Jabbar, Mahmood Tahir, Pamucar Dragan, Waqas Hafiz Muhammad
SK-Research-Oxford Business College, Oxford, OX1 2EP, UK.
Department of Mathematics and Statistics, International Islamic University Islamabad, Pakistan.
Heliyon. 2025 Jan 3;11(1):e41668. doi: 10.1016/j.heliyon.2025.e41668. eCollection 2025 Jan 15.
Improving human health and comfort in buildings requires efficient temperature regulation. Temperature control system has a significant contribution in minimizing the impact of climate change. Temperature control system is used in industry to control temperature. The polar form of complex Pythagorean fuzzy set is a limited notion because when decision makers take the value for membership degree as then we can observe that the basic condition for complex Pythagorean fuzzy set fails to hold that is . Moreover, we can observe that the Cartesian form of a complex Pythagorean fuzzy set is also a limited notion because it can never discus advance data. Hence keeping in mind these limitations of the existing notions, in this article, we have explored the Cartesian form of a complex q-rung orthopair fuzzy set. Moreover, we have developed the Yager operational laws based on a Cartesian form of complex q-rung orthopair fuzzy set. We have introduced aggregation theory named complex q-rung orthopair fuzzy Yager weighted average and complex q-rung orthopair fuzzy Yager weighted geometric aggregation operators in Cartesian form. Based on these aggregation operators, we have initiated a multi-attribute group decision-making (MAGDM) approach to define the reliability and authenticity of the developed theory. Furthermore, we have utilized this device algorithm in the selection of a temperature control system. The comparative study of the delivered approach shows the advancement and superiority of the delivered approach.
改善建筑中的人类健康和舒适度需要高效的温度调节。温度控制系统在最小化气候变化影响方面具有重要贡献。温度控制系统在工业中用于控制温度。复毕达哥拉斯模糊集的极坐标形式是一个有限的概念，因为当决策者将隶属度值取为 时，我们可以观察到复毕达哥拉斯模糊集的基本条件不成立，即 。此外，我们可以观察到复毕达哥拉斯模糊集的笛卡尔形式也是一个有限的概念，因为它永远无法讨论高级数据。因此，考虑到现有概念的这些局限性，在本文中，我们探索了复q阶正交对模糊集的笛卡尔形式。此外，我们基于复q阶正交对模糊集的笛卡尔形式开发了雅格运算定律。我们引入了名为复q阶正交对模糊雅格加权平均和复q阶正交对模糊雅格加权几何聚合算子的笛卡尔形式的聚合理论。基于这些聚合算子，我们启动了一种多属性群决策（MAGDM）方法来定义所开发理论的可靠性和真实性。此外，我们在温度控制系统的选择中使用了这种方法算法。所提出方法的比较研究表明了所提出方法的先进性和优越性。
